+ All Categories
Home > Documents > F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt...

F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt...

Date post: 06-May-2018
Category:
Upload: buingoc
View: 218 times
Download: 1 times
Share this document with a friend
138
MINIMUM SIZE SAMPLING PLANS FOR SMALL LOIS FOR A GIVEN LOT TOLERANCE PERCENT DEFECTIVE (LTPD) AND PROBABILITY OF ACCEPTANCE 30 JunE 1966 CYNTHIA D. LAGUE ( CLEARINGHOUSEI SFOR FEDERAL ,-ClKNTlIvC A'WDI TECNITCAL INFORMATION F_ /-J,$ ., I 1.- . ..i TT. S. NAVAL AVIONICS FACILITYf INDIANAPOLIS, NDIANA m 42-18 Distribution of this document is unlimited. L
Transcript
Page 1: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

MINIMUM SIZE SAMPLING PLANS FOR SMALL LOIS FOR A GIVENLOT TOLERANCE PERCENT DEFECTIVE (LTPD) AND PROBABILITY OF ACCEPTANCE

30 JunE 1966

CYNTHIA D. LAGUE

( CLEARINGHOUSEI

SFOR FEDERAL ,-ClKNTlIvC A'WDITECNITCAL INFORMATION

F_ /-J,$., I1.- . .. i

TT. S. NAVAL AVIONICS FACILITYf

INDIANAPOLIS, NDIANA m 42-18

Distribution of this document is unlimited.

L

Page 2: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

IAFIJ. TPT-504

PPEFACE

A considerable amount of small-lot sampling is performed at. theU. S. Naval Avionics Facility, Indianapolis, Indiana (WAFI). Theoperating characteristic curves that are used in connectioi. with samplingprocedures are taken directly from MIL-STD-105, "Sampling Procedures and 1Tables for Inspection by Attributes". The approximations from tbhsecurves are adequate enough for large lots, but not for small ones, namelythose between 10 and 100 in size.

It was deemed necessary, therefore, to have a set of tables whichcould be used as a guide in making small-lot sampling decisions. Thepurpose of this report is to present these tables and to explain their"use.

Prepared byMathe tical Statistician

R~eviewed1 by___________Ch.ef of Statistical Branch

'V "_," L" / /I,, / //:Approved by o /.wk

Mafnager of Quality Assurance

Approved by q; \X I aDirector of Technicar Evaluation

. . .

Page 3: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFT TR-504

ABSTRACT

"This report presents a set of tables which givt the minimumK• w sample size required to accept asmall lot with the probability of

acceptance less 'than or equal to> for a'given LTPD. The tables arebased on the; hypergeometric probability distribution for lot sizes N of10(5) 100; 0 of 0.01, 0.025, 0.05, 0.10(0.10) 0.90, 0.95, 0.975 and0.99; and acceptance numbers a of 0(1)3.

ACKNOWLEDGE24ENT

The author is indebted to Paul D. Whittemore for his suggestionof the approach used in this report and for his effort in writing thecomputer programs which generated these tables. Acknowledgement isalso given to the Numerical Mathematics Staff, whose assistance inrunning the computer programs was necessary for the completion of thisreport.

r

ii

Page 4: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

XAFI TR-'50 4

TABLE OF CONTENTS

I -PBEFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

ABSTRACT . . . . . . . . . . . . . . . . .. . .... . . . . . . .

AS•KNOWLDEMENTI ... . . .. . . . .. ...... .

SECTION

I CONCLUSIONS .............. . . . . . . . 1

II RECOMMENDATIONS .................... 1

III INTRODUCTION . . . . . . . . ........... . . . 2

IV DISCUSSION . ................ . . . . . 3

A. CHARACTERIZATION OF A SAMPLING PLAN . . . . . . 3

1. The AQL and a Method ................. 42. The LTPD and 0 Met-hod . ..... ...... 4

B. MOTIVATION FOR TIE TABLES .............. . 5

C. THE TABLES AND INSTRUCTIONS FOR THEIR USE ..... 6

1. The Tables ......... .................. 62. Instructions for the Use of the Tables . . . . . 6

a. The LTPD and 0 Approach .. . . . . . . 6b. The AQL and a Approach ..... ........... . 9c. The Approach in General .. . . . . . . 9d. Other Uses . . . . . .... . . . .. . 11

REFERENCES . .. .. .. .. .. .. .. .. .. .. .. .. . .. 13

LIST OF SYMBOLS . . . . . . . . . . . . . . . . . . . . .. . . . . . 14

APPENDIX A -The Tables . ........... . . . ...... A-O

iii

Page 5: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

1 NAFI TR-504

LIST OF ILLUSTRATIONS

1. Operating characteristic curvr, fcr a single level sampling inspec-tion plan n = 30, a = 2. Lot size is ascumed to be infinite. 3

2. PrObabilities of :-, -c:;ance from the binomial approximation and theexact hYp~ergeometric distribu,.tion, with an acceptance number 0.. 5

3. OC curve for sampling inspection plan N = 50, a 0 and n = 9,

10, 11. 8

4 . Outline of procedure to obtain the minimum vample size to meet allrequirements of a sampling plan. 10

5. Probabilities of acceptance for various sample sizes for N = 50,LTPD= 0.12 and aO. 11

rr[r

4.t

iv

Page 6: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

Section I

CONCLUSIONS

Tables presented in this report are useful for quickly determiningthe minimum sample size for lot sizes between 10 and 100 with variousLTPD and 0 levels.

These tables provide a useful means of determining the increasein protection that can be gained with an increase in the sample size.

Section II

RECOMMENDATION

These tables should be used by personnel concerned with decisionsregarding sample size determinations of small lot sampling.

1

Page 7: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SNAFI T -504

Section III

INTRODUJCTI iN

The operating characteristic (OC) curve is the standard criterionfor comparing various sampling plans. At NAFI the main source of thesecurves is MIL-STD-105 "Sampling Procedures and Tables of Inspection byAttributes". This. standard makes exclusive use o,1 the Poisson and •binomial approximations to the hypergeometric probability distribution.These approximations are known to contain some errors in sample sizebecause the lot size is not taken into account. Also, MIL-STD-105 does'I not cover all possible sample sizes. Thus the hypergeometric distri-bution will be used to take into account the actual value of the smalllot size in this report..

The concern of this report is not to produce a set of OC curvesbased on the hypergeometric distribution, but rather to present a setof tables, which gives the minimum sample size required to accept asmall lot containing K defectives with a probability of at most B.

These tables constitute a "new view" in the presentation of samplingplans, and these tables should be a very useful and time-saving tool forthose actively engaged in small-lot sampling.

I[

2

Page 8: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

Section IV

DISCUSSION

A. CHARACTERIZATION OF A SAMPLING PLAN

A single level sampling plan is a procedure which gives the samplesize to be taken from a lot and the criteria for determining theacceptability of the lot (acceptance and rejection numbers). Forexample, a sampling plan can have a sample size (n) of 30 and anacceptance number (a) of 2. If 2 or less defective units are found inthe sample, the entire lot is accepted; if 3 or more defective unitsare found in the sample, the lot is rejected. The discriminatory powerof a sampling plan is best described by its operating characteristic(OC) curve, as shown in Figure 1 below:

1.0

0

r9o 7

0

• .2-

0o .02 .`6.O6.8 .1A .12 .i .16 .*18 .20 .22 .*2 .26

Fraction Defective of Submitted Lots

Figure 1. Operating characteristic curve for a single level samplinspection plan n a 30, a = 2. Lot size is assune4 to beinfinite.

3

Page 9: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAI TR-5o4

The abscissa for this curve is the true fraction defective of the lot

that is being sampled for inspection. The ordinate of the curve is theprobability that the lot will be accepted (P ). For example, if the

.... lot had a true fraction defective of C.18, tde probability that itwould be accepted under the above plan is 0.10. If the true lot fractionwere 0.02, the probability of its beiag accepted would be 0.98.

Since an OJ curve varies with th.! sample size and acceptance number,there must be some way of referencirng various sampling inspection plans.This is usually done in two ways: `i) by specifying the AQL and a error,and/or (2) b. specifying the LTPD and 0 error.

1. The AQL and o Method

A sampling inspection plan can be designed so that items whichf nare of good quality will have a low probability of being rejected. The

"I"acceptable quality level" (AQL) is defined as the maximu, percentdefective that, for purposes of sampling inspection, can be consideredsatisfactory as a process average. The probability of rejecting itemsof AQL quality is dengted by (V (alpha). Thus, if a = 0.05, then theprobability of rejecting itew. of AQL quality is 0.05. If the probabilityof accepting a lot is denoted by PI' then a = i - Pa for any given AQL[ of the lot.

2. The LTPD and 8 Method

5 A sa.pling plan can also be designed so that items of bad qualitywill have a low probability of being accepted. The "Lot tolerancepercent defective" (LTPD) is defined as the incoming fraction defectivef that the consumer is willing to accept with a very small probability ofoccurrence. The probability of accep4-ing a lot of LTPD quality isdeaoted by 8. Thus, if 8 = 0.10, then the probability of accepting items[ of LTPD quality is 0.10.

These two ways of referencing sampling plans offer differv:-t kindsof protection. AQL protection is aimed at securing a maximum of good lotsand discouraging poor quality. Principal emphasis of this approach lieswith the producer, who has the pri.mary responsibility for good quality andis penalized for pocr quality. Thus a, the probability of rejecting agood lot, is often ca3lled the producer's risk. LTPD protection places theuemphasis against too much poor quality from a given source. 0, the

probability of acceptinq a bad lot, is often called the consumer's risk.

In sunwry the AQL and a method of referencing a samplinginspection plan focuses the attention of the producer on the quality levelthat will have a high probability of being accepted. The IM"P and 0method focuses the attention of the consumer on his risk of acceptingXLMD quality under a given sampling plan. It tells him that material

Page 10: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TB- 501+

which is worse than LTPD quality will be accepted less than 100 8percent of the time. Since NAFI plays the role of a consumer (receiv-ing most of its manufacturing material from private vendors), the tablesfor determining the minimum sample size will be given in terms of 0and LTPD. These tables, however, can also be used in terms of cv and AQL.

Specifying only AQ.L and a, or only iTPD and 8 is not sufficientto completely describe a particular sampling inspection plan. Varioassampling plans may have the same AQL and o, or the same LTPD and 0, butbe different in sample size and acceptance number. The selection of allfour characteristics (AQL, cy, LTPD and 0) must ba given in order tocompletely determine the sampling inspection plea.

B. MOTIVATION FOR THE TABLES

The sampling plans employed at NAFI are determined mainly throughthe use of the OC curves found in MIL-STD-105. These curves aredetermined by the use of the Poisson or the binomial approximation tothe hypergeometric probabilityr distribution. These approximations arequite sufficient for large lot sizes but not for small ones. Toillustrate this, consider the following example:

It is desired to accopt a lot of 50 items with a probability of atleast 0.80 if the lot contains one defective (i.e., AQL = 0.02, and

S< 0.20 or P > 0.80) and to accept the lot with a probability of atmost 0.10 if thg lot contains ten defectives (i.e., LTPD .20 and 0<o.1O). The problem is to determine the minimum sample size and theacceptance number which meet all of the above requirements. Figure 2below gives the probabilities of acceptance for various sample sizes,with acceptance number 0, for both binomial approximation end the exact

I pergeometric distribut ion.

"1I DefectJive in Lot 10 Defectives in Lot'

Sample Acceptance Using Acceptance Using Acceptance Usin(4 Accept~ane Using

.Size The Binomial The Hypergeometric The Binomial iho.H_•Y~r metric

9 .83375 .82000 .13422 .1091410 .81707 .80ooo .10737 .08252-. .80073 .78000 .08590 .06189

Figure 2. Probabilities of acceptance from the binomial approximationand the exact hypergeometric distribution, with &n acceptancenumber 0.

Page 11: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

0NAM TR-5o4

it can be seen from Figure 2 that the use of the binomial approxi-

mation yields a minimum sample size of 1i, whereas the exact hyper-Sogemetric distribution requires a sample size of 10. This means that a10% larger sample would have to be used for the above example if theOC curve of the sampling plan were based on the binomial distribution.It was felt that a set of tables based on the hypergeometric distri-bution from which small-lot sampling sizes could be obtained would bevaluable. The value of such a set of tables becomes especially signifi-cant at NAFI, where the majority of sampling is performed on small lots.

iA set of tables can be found in MIL-S-19500D (Table C-II) "GeneralSpecification for Semiconductor Devices", which gives hypergeometricsampling plans for small lot sizes of 200 or less. However, theseSi•tables give the value of the sample size required for various AQL levels

for only one sampling risk of a = 0.05.

C. THE TABLES AND INSTRUCTIONS FOR TMIR USE

1. The Tables

The tables presented in this report give the value of theminimum samnre size required to accept a lot of size N with theprobability of acceptance less than or equal to 0, for a given numberof defectives K (or K/N fraction defentive) and an acceptance number of a.

,:, N 10(5)100; 0 = 0.01, 0.025, 0.05, 0.10(0.10)0.90, 0.95, 0.975 and3 0.99; and a = 0(1)3.

The calculation of the tables is based on the hypergeometricdistribution and was performed on NAFI's GE-225 digital computer.Logarithms, which are usually employed in computations of factorials oflarge numbers, were by-passed by employing a hypergeometric recursionformula found in Burr's "Engineering Statistics aud Quality Control"(reference 1). An independent check was made or. the corputer's resultsby reference to Lieberman and Owens "Tables of the HypergeometricProbability DIstribution" (reference 2). The tables in Lieberman andOwens can be used to produce the kind of tables presented in thisreport, but the coverage of N would not be as extensive.

2. Instructions For The Use of The Tables

a. The LTPD and 0 Approach

The approach that will normally be used at NAMI can bestbe illustrated by the previous example of sampling from a lot of50(N = 50). For this example it is desired to accept the lot with aprobability of at moat 0.10 it there were 10 defi'ectives In th..ý lot.The problem, then, is to find the minimum sample size which wouldgenerate an OC curve to nass through or below the 0.10 probability ofacceptance point for ten defectiveR (LTP = 0.20).

6

Page 12: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

U1AFI TR-5o4

To illustrate the use of the tables in this particularcase, first turn to the table for lot size 50 and acceptance number 0,as found on page A-33 . The point of interest is at the intersectionof the "0 = 0.10" column and the "ten defectives" row, which indicatesthat a sample size of 10 is required. Next turn to the table for a lotsize of 50 and acceptance number of 1. For 8 = 0.10 and an allowablenumber of 10 defectives 1n the lot, the required sample size is 16.For acceptance number of 2, the required sample size is 22. For accept-ance number of 3, the required sample size is 2(. Hovever, 10 is theminimum sample size required to make the OC curve pass through or below0.10. When only the 0 level is specified, the sample size will always'be the minimum for an acceptance number of 0.

Let us refer again to the binomial and hypergecmetricapproximations for this example; as given in Figure 2. For an illustra-tive purpose, the OC curves for lot size 50, acceptance number 0 andsample sizes 9, 10 and 11 are shown in Figure 3. In this figure we cansee that any OC curve for sample sizes of 10 or greater will pass throughor below the 0.10 probability of acceptance point for LTPD = 0.20;however 10 is the minimum sample size.

7 m m••m m m •m m• m mm

Page 13: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

:1 N/cFI TR- 504r

.9. C

5'.

n) 9

'I

E .4-

* 10

0 .02 .04 .06 .08 .10 .12 .14 .16 .18 .20 .22 .24 .26t t

AQL LTPD[[ Fraction Defective of Submitted Lots

Figure 3. OC curve for sampling inspection plan N = 50, a = 0and n =9, 10, 11,

Oftentimes specifying all the characteristics (AQL, o, LTPD and 8)of a sampling plan will not give the minimum sample size possible(with acceptance number 0). One must then use the appropriate samplesize end its corresponding acceptance number which is most feasible tothe plan.

8

Page 14: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

tXAFI Tl-5014

b. The AQL and a Approach

For the same example, it is desired to accept this lot witha probability of at least 0.80 if there were only one defective in thelot. Now the problem is to find the required sample size which wouldgenerate an OC curve to pass throh or above the 0.80 probability ofacceptance point for one defective (AQL = 0.02). Theoretically theminimum sample size would be zero, however it is usually required thatthe sample size be such that it will allow the OC curve to pass through'or just slightly above the 0.80 probability of acceptance point.

For an acceptance number of 0, there will only be one suchOC curve that will meet this requirement; that is, an OC curve whichpasses just-above or through the intersection of "Probability ofAcceptance = 0.80" and "Fraction Defective of Submitted Lots = 0.02".Thus the problem reduces to finding the required sample size for anacceptance number of 0 to meet the stated requirements. An OC curve foracceptance number of 1 or more would not be applicable for this example,for then the lot would be accepted every time regardless of whether ornot the sample contained the one or more defective item.

Again start with the table for lot size of 50 and acceptancenumber of 0. The point of interest is at the intersection of the"Pa = 0.80" column and the "one defective" row. The number indicated is11. -Recall that this number represents the sample size required toensure the probability of acceptance is at most 0.80. However we wishfor the OC curve to pass through or above 0.70. Hence, 1 must be sub-tracted from 11 to give a sample size of 10. 'Thus we must take a sampleof at most 10 units to enable the lot to be accepted with a probabilityof at least 0.80. Any larger sample size would reduce the probabilityof acceptance to less than 0.80.

Referring back to Figure 3, we can see that the OC curvefor n = 10 and a = 0 satisfies the requirements that AQL = 0.02 and O =

0.80. If we increase the sample size to 11, we fall short of the speci-fied probability of acceptance. A sample size of 9 would satisfy theAQL and a criteria, but not the LTPD and 0 criteria, for then theprobability of accepting 10 defectives is greater than the specifiedprobability of 0.10. Thus 10 is the minimum sample size which meets allthe requirements which completely determine this particular samplinginspection plan.

c. The Approach Irn General

A more general use of the tables will now be presented inwhich sampling plans "from scratch" are obtained. Consider a lot of100 units (N = 100). It is desired to accept the lot with a proba-bility of at least 0.90 if there are 5 defectives (AQL = 0.05, anda < 0.10 or Pa > 0.90), and to accept the lot with a probability of

9

Page 15: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

4.NFI TB- 504

at mwet 0.10 if there are 1.5 defectives (LTPD = 0.15 and 0< 0.i0). Thepriblem, then, Is to find a sample size (n) and an acceptance number (a)which generate an OC cur'vý to meet these requirements.

Start with a trial acceptance number of a = 0. From thetables for N = 100, we find that the intersection of P a = 0.90 and the5 defective point indicates that a sample of 3 -must be taken to ensurethat the probability of acceptance is at most 0.90. However we want

f P > 0.90, so I must be subtracted from the tabular value. This givesaarequired sample size of at most 2 to ensure a probability ofacceptance of the lot to be at least 0.90. Any larger sample size.ould reduce the probability of acceptance to less than the desired0.90. The 15 defective point for 0 = 0.10 indicates that a sample of atleast l4 is required to ensure a probability of acceptance of the lotto be at most 0.10. Obviously no decision of a minimum sample size canbe made at this stage. qo, repeat the above procedure with a trialacceptance number of 1 axid so on until a decision can be reached. Theentire situation is outlined in Figure 4 below:

W Sample size needed to Sample size needed toTrial accept lot with probability accept lot with probability

Acceptance of at least 0.90 if there of at most 0.10 if thereNumber are 5 defective are 10 defectives Conclusiore

0 3-1 2 at most 14 at least Sampling planimpossible.

1 12-1 = 11 at most 23 at least Sampling planI impossible.

2 26-1 = 25 at most 31 at least Sampling plan4 impossible.

343-1 = 42 at most 38 at least Sampling planpossible. Toeconomize,use the smalle:of the two.F

Figure 4. Outline of procedure to obtain the minimum sample size tomeet all requirements of a sampling plan.

The sampling plan would then be: From a lot of 100 units, draw a sampleof 38. Accept the lot if there are three or less defectives in the sample;otherwise reject the lot.

10

Page 16: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

nrAFl TR-.5 04

Whenever a decision regarding sample size cannot be reachedwith an acceptance number of 3, these tables are no longer applicable.At this point a re-evaluation of the risks could be made "." attempt toobtain a minimum sample size for the sampling plan, OthfrY.ise thetables found in Lieberman and Owen (reference 2) must be used.

In summary, these tables give the minimum sample size toaccept a lot with the prdbability of acceptance less than or equal to0 for a given LTPD. These tables can also be used to determine, aftersubtracting 1 from the tabular value, the required sample size suchthat the probability of acceptance is greater than or equal to P, fora given AQL. If a is specified rather than 0, these tables are stillapplicable if we simply remember that a = 1 - P and use the appropriatecolumn to determine the sample size, which willaagain be the tabularvalue minus 1. It should be noted that the "Fraction Defective'" columnof the table is the AQL or LTPD level, depending on th• method used toreference the sampling inspection plan.

d. Other Uses

The tables in this report can also be used to obtain arough idea of the amount of protection gained by increasing the samplesize. For example, consider a lot of 50 units which contains 6defectives (ITPD = 0.12). If an acceptance number of zero is chosen,the tables on page A-33 give the amoimt of protection for varioussample sizes, as shown in Figure 5 below:

Sample Size Probability of Acceptance_ of At Most

1 0.992 0.803 0.704 0.606 0.507 0.409 0.30

12 0.2016 0.1019 0.0522 0.02526 0.01

Figure 5. Probabilities of acceptance for various sample sizes for

N = 50, LTPD 0.12 and a 0.

II

Page 17: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

I NAI"I TR-54

Hence, we see that by taking a sample of 7 from a lot with a specifiedf LTPD = 0.12, the probability of accepting the lot is at most 0.40. But

if we increase the sample size to 16, the probability of accepting thelot is at most 0.10. A camparison of this sort helps one see how muchmore protection one gets with an increase in the sample size.

The hypergeometric probability distribution tables, asfound in Lieberman and Oven (reference 2), can be used to obtain theexact probabilities of acceptance (to six places) for all possiblesample sizes for various lot sizes of 2 (1) 50 and. 60 (lO) 100.

121

I

I I'I

I IF I

I

12

nmua•nnnm n numlmnuln nmnm• nnu~ mmn nnmmm u unmm u- .u. .n. ..num , u. uuu

Page 18: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

I NAf'-"'. TR-504

R••RFENCES

1. Burr, Irving W., Engineering Statistics and Quality Control.New York, McGraw-Hill Book Company, Inc., 1953.

2. Lieberman, Gerald J. and Donald B. Owen., Tables of the HypergeometricProbability Distribution. Stanford, California, Stanford,University Press, 1961.

13

II

I

I

I

II

!

nI n m l un u u m u nnm m m mm m m m m n I m mn m nn m • mu n p u m nn l m n p m u m m

Page 19: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

!NAITR-504.

F( LIST OF SYMBOLS

acceptance number

probability of rejecting a good lot

AQL = acceptable quality level

S= probability of accepting a bad lot

K = number of defectives in a lot

SK/N = frction defective in a lot

LTPD lot tolerance percent defective

N = lot size

n = sample size

OC Curve = operating characteristic curve

A Pa = probability of acceptance

•< = less than or equal to

>I = greater than or equal to

1

1r

Page 20: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

APDPINIX-A

THE TABLES

Acceptance Numbers a: 0(1)3

(or Pa): 0.01, 0.025, 0.05, 0.10 (0.10) 0.90, 0.95,o.975, 0.59

A-0

Page 21: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

"qAP4PLF C17F RQJOUIRFI) TO ACCFPT LOT WITH A PROM ABILITY OF AT MOST ( (OR P

LMT ';T70 10;r. Ar•'PTANCF NUMFR a 0

NO. 0 Pr. PROBABILITY OF ACCEPTANCE 8 (OR a )IF.3 * DF.F, 01 o025 .05 o10 o20 930 o40 .50 o60 o70 e80 *90 o95 o975 o99

I 010 10 10 10 10 9 8 7 6 4 4 3 2 1 1 16 7 6 5 4 4 3 2 2 2 1 1 1 1 1 1

5 4 4 3 3 2 2 2 1 1 1 1 1 1M 40N 6,6 4 5, • 2 2 2 1r 4 4 3 3 2 2 2 1 1 1 1

o 007 3 2 2 2 1 1 1 1 1 1 1 1 180:80• 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1.2 1 1 1 1 1 1 1 1 1 1

in1 1 1 1 1 1 1 1

L

[r

A-i

Page 22: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

'AMPLE 517F RFOUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

LOT SIZE 2 10ArCEPTANCr N!JMRFR z I

N0a PCTe PROBABILITY OF ACCEPTANCE 8 fOR ParvF, rfEF:* s 01 .025 ,05 .10 .20 .30 .40 .50 .60 .70 .S0 o90 .95 o975 &99

I .I0 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.20 9 9 9 9 9 9 8 8 7 6 5 4 3 3 2

C.3o 8 8 9 9 7 7 6 6 5 4 4 3 2 2 2ce.i 6 t 6 6 5 4 4 4 3 3 2 2 2 2 2n 161) 5~ 4 4 3 3 3 2 2 2 2 2

"7 1,,", 4 4 4 4 3 .3 2 2 2 7 2 2 2I.8 1 3 3 2 2 2 2 2 7 2 7 2

c 0.9) 2 2 ? 2 ? 2 2 2 2 2 2 2 2 2 2Ir 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

A-2

Page 23: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

J :AMPLE 7F: • EQUJIRFr) TC ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

L,)T 517E 10-

j.ArCCEPtANCE NUMBER a 2

-I NO. PCT, PROBABILITY OF ACCEPTANCE 8 (OR PaI* rFF, DEF. .01 .025 .05 '10 .20 ,30 .40 .50 ,60 .70 .80 *90 .95 ,975 .99

1 0.10 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOTI 0.20 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

•;• 0.4 0 7 7 7 7 7 7 7 6 6 5 4 4 3 3S0.30 8 8 8 E 8 8 8 8 87 6 5 4 4

I 5 050 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3•2 - 6 f*n, 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3

7~ ~ ~ 3 3 33044 44443 3333 3 3 3 3 33 3 3 3 3 3 3S9 Me,90 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3i 1 0 1,00 3 3 3 3 3 3, 3 3 3 1 3 3 3 3 3

Sii

53

I

r

IAt

j A- 3

Page 24: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NA-I TR-5C4

SAMPLE S17F REQUIREr) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Pa)

LnT ST1E = 10ArCEPTANCF NUMRFR a 3

40, PCTo PROBABILITY OF ACCEPTANCE B (OR Pa"•FF, )DEF 001 e025 905 .10 e20 .30 040 .50 *60 *70 .80 *90 .95 .975 .99

,00lo CAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOTt 020 SAMPILING PLAN NOT APPLICABLE - ACCEPT THE LOTieot) SAM4PLING PLAN MOT APPLICABLE - ACCEPT THE LOT

4 0. 40 7 7 7 7 7 7 7 7 7- 7 7 7 6 6 5".50 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4

5 5 5 5 5 5 5 5 5 5 5 5 4 4 4.; 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4. .87 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4q 090 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4S 1.0090 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

ii ý 1 inuulum•0 ) 4 4 4 4m 4 n4 4 4 4 4 4 4 4 4 4

Page 25: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

5 ~NAFI TiR-5o1+

5AMPLF S17F RFQUIRFO TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 6 (OR Pa)

L'n1 S17F =151ArCFPTANCF NUMPFR = 0

14O0 PCTo PROBABILITY OF ACCEPTANCE 8 (OR Rhr 'FF* DEF. *C1 *025 *05 .10 *20 .30 o40 e50 o60 o70 .80 *90 .95 .975 *99

i 0.07 15 15 15 14 13 11 10 8 7 -5 -4 2 1 1 1nol 13 13 1?2 10 9 7 6 5 4 3 2 1 1 1-3 0921 11 10 9 8 6 5 4 3 3 2 2 1 1 1 1

4 0.27 10 9 8 6 5 4 3 3 2 2 -1 111 1 1 i

5 0033 a 7 6 5 4 3 3 2 2 1 1 1 1

S0.47 6 5 5 4 1 2 2 2 1 1 1 1 1 1 10.53 5 5 4 3 3 2 2 1 1 1 1 1 1 1 1

r 060 5 4 3 3 2 2 2 1 1 1 1 1 1 1 1in 0.67 4 3 3 2 2 2 1 i 1 1 1 1 1 1 1

, o0.73 3 3 3 2 2 1 1 1 1 1 i 1 1 1 1 I!0* 03 3 2- 2 2 1 1 1 1 1 1 1 1 1 11-1 0),8 7 1 ? 1

14 9•93 2 2 2 1 1 1 115 l.o0 1 1 1 1 1 1 1 1 1 11 11 1

I II I[ II I

V' I

i*ll l1l l l ll I I l l l l l l l I I IlI mI l II l

Page 26: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLF SI7F REQ0)IREr) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST B (OR Pa )

LOT SIZE - 15Ar(CEPTANCF NUMPER z I

Nn, PCT, PROBABILITY OF ACCEPTANCE • (OR Par.),* r)FF, .01 *025 .05 .10 o20 *30 *40 .50 .60 *70 *8O o90 .95 o975 e99

1 0.07 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT"3 14 14 14 14 14 13 12 11 10 " 9 8 6 4 3 3"0.20 13 13 13 1? 11 10 9 8 7 6 5 4 3 2 2I 4 .,?7? 1? 12 1I 10 9 8 7 6 5 5 4 3 2 2 2

5 0033 11 10 9 9 7 6 6 5 4 4 3 3 2 2 26 .4•OZ 10 9 8 7 6 5 5 4 4 3 3 2 2 2 27 0047 8 8 7 6 5 5 4 4 3 3 3 2 2 2 2_ p 0,53 7 7 6 6 5 4 4 3 3 3 2 2 2 2 2

0,60 7 6 5 5 4 4 3 3 3 2 2 2 2 2 2,I 0.67 6 5 5 4 4 3 3 3 2 2 2 2 2 2 21!. 0.73 5 5 4 4 3 3 3 2 2 2 2 2 2 2 217 0.8", 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2!"I , 3 2 2 2 2 2 2 2 2 2 2

102 2 2 2 2 2 2 2 ? 2 2 2 2 2

A-6'

nI=mm m u u m nmm uuuumm u u umnm m mnn =a nnu n m mn n mn

Page 27: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

fI NAFI TR-504

S%1PLE SIE REQUIRE!) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR 0 1

LMT SIZE = 15

ArCEPTANCF NUMBER = 2

ri No. PCT, PPOBA9JLITY OF ACCEPTANCE 8 (OR Pa

S F* DEC. .01 ,025 e05 .10 *20 .30 *40 e50 .60 ,70 .80 .90 .95 .975 .99

-007 SAMPLING PLAN NOT APPLICABLE - ACCEPT THU LOT? 0.13 SAMPLING PLAN NOT APPLICABLE - ACCEPT THF LOT

'n420 13 13 13 12 13 13 13 13 12 11 10 8 7 6 5I %?7 12 1? 1? 12 12 11 11 10 9 8 7 6 5 4 4

S ] 11 1 9 9 8 7 7 6 5 4 4 36 0,o4 2c 10 10 10 9 8 7 7 6 6 5 4 4 3 3'7 [ %47 9 9 9 9 8 7 6 6 5 5 4 4 3 3 3I, 8 8 8 7 6 6 5 5 4 4 3 3 3 3

0060 7 7 7 7 6 5 5 5 4 4 4 3 3 3 3ic 0.67 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3I 1 1 o 7I. 5 5 5 5 4 4 4 4 3 3 3 3 I3.

12 4•.¾n 3 3 3 3 4 3 3 3 3 3 3 3 3 33ý e.87 , 3 3 3 3 3 3 3 3 3 3 3 3 3

14 :oqi 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3I r I or,0 'A • B 3 3 3 3 3 3 3 3 1 3 3

I

r

i.

L\-

Page 28: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

<AMPLE CI'F RFOUIRFr) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

LnT S17E = 15ArCEPTANCE NIUMBER = 3

Nn, PCT, PROBABILITY OF ACCEPTANCE 8 iOR PaiEF, DEF. *01 .025 ,05 .10 e20 *30 o40 950 .60 .70 *80 .90 .95 .975 .99

0.07 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT0*113 SAMPLING PLAN MOT APPLICABLE - ACCEPT THE LOT

i 0.20 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 0.27 12 12 1? 12 17 12 12 12 17 12 11 10 8 7 6

.5 0,33 11 I1 11 11 11 11 11 11 10 10 9 7 7 6 56 0.40 10 10 10 10 10 10 10 9 9 8 7 6 6 5 4

(0,47 9 9 9 9 9 9 9 8 7 7 6 5 5 4 48 0.53 8 8 8 8 8 8 8 7 7 6 6 5 4 4 49 0,6! 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4

11 0.67 6 6 6 6 6 6 6 6 5 5 5 4 4 4 411 0,71 5 5 5 5 5 5 5 5 5 5 4 4 4 4 41? f,8n 4 4 4 4 4 4 ' 4 4 4 4 4 4 4 4

'% no87 4 4 4 4 4 4 4 4 4 4 4 4 4 4 414 0.93 4 4 4 4 4 4 .4 4 4 4 4 4 4 4 415 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A - 8)

Page 29: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Pa)

LmT SIZE = 20ArErPTANCE NUMPRý = 0

II NO. PCT. PROBABILITY OF ACCEPTANCE B (OR ParnEF, DEF., 01 ,025 *05 .10 .20 .30 .40 o50 .60 *70 .80 990 .95 .975 .99

1 c.05 20 20 20 19 17 15 13 11. 9 7 5 3 2 1 10. •10 18 17 16 14 11 9 8 6 5 4 3 2 1 1 10•15 15 14 12 11 8 7 5 4 3 3 2 1 1 1 1

4 0.20 13 12 10 9 7 5 4 3 3 2 2 1 1 1. 15 1 0.25 11 10 9 7 5 4 3 3 2 2 1 1 1 1 36 0.30 10 8 7 6 5 4 3 2 2 2 1 1 1 1 1

-0.35 9 7 6 5 4 3 3 2 2 1 1 1 1 1 1, 0"40 8 6 6 5 3 3 2 2 2 1 1 1 1 1 1* 9 0.45 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1

I 0 . 50 6 5 4 4 3 2 2 2 1 1 1 1 1 1 1v " 0.50 5 4 3 2 2 2 1 I 1 1 1 1 1 11 12 0.60 5 4 3 3 2 2 2 111 1 1 1 1 1

13 O.65 4 4 3 3 2 2 1 1 1 1 1 1 1 1 114 0.70 4 3 3 2 2 2 .1 1 1 1 1 1 1 1 11 0.95 3 3 3 2 2 1 1 1 I I 1 1 1 1 1

I s 0.80, 3 ? 2 2 1 1 1 1 1 1 1 1 1 117 0.85 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1lp r *9 2 1 2 1 1 1 1 1 1 1 1 1 1 1

19 0.95 2 2 1 1 1 1 1 1 1 1 1 1 1 14 ' 2. 1 .00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1I

I

SA- 9

Page 30: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

SAMPLF S17E RFOUIREn TO ACCEPT LOT WITH A PROBABILITY OF AT MOST (OR Pa)

LnT SIZE = 20ArCEPTANCF NUMBER = I

INO* PCT, PROBABILITY OF ACCEPTANCE • (OR P )•r F~r DFF. .01 .025 ,05 .10 ,20 *30 .40 e50 .60 o70 .80 .90 .95 *975 e99

I o0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT? 0.10 19 19 19 19 18 17 16 15 13 12 10 7 5 4 33 0.15 is 18 17 16 15 13 12 '1 9 8 6 5 4 3 2I 0.20 17 16 15 14 12 10 9 8 7 6 5 4 3 2 2

0.25 15 14 13 11 10 9 8 7 6 5 4 3 2 2 26 0.30 13 12 11 10 8 7 6 6 5 4 3 3 2 2 27 0.35 12 11 10 9 7 6 6 5 4 4 3 2 2 2 29 0.41' 10 9 9 8 6 6 5 4 4 3 3 2 2 2 29 0.45 9 8 8 7 6 5 4 4 3 3 3 2 2 2 2

(n O.5" 8 8 7 6 5 4 4 4 3 3 2 2 2 2 20.55 8 7 6 5 5 4 4 3 3 3 2 2 2 2 2

1? 0.60 7 6 6 5 4 4 3 3 3 2 2 2 2 2 211 0.65 6 6 5 5 4 3 3 3 2 2 2 2 2 2 214 0.70 6 5 5 4 4 3 3 3 2 2 2 2 2 2 215 0.75 5 5 4 4 3 3 3 2 2 2 2 2 2 2 216 0.80 5 4 a 3 3 3 2 2 2 2 2 2 2 2 217 0.85 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2i.sO 3 3 3 3 2 2 2 2 2 2 2 2 2 2 219 0.95 2 2 2 2 2 2 2 2 2 2 2 2 2 2 220 1.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

A-10

Page 31: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

rXAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Pal

LIVT SIZE =20ACCEPTANCE NUMBER x 2

[0, C PROBABILITY OF ACCEPTANCE 0(OR Pa.F* I)F. .01 o025 905 .10 .20 *30 .40 .50 o60 .70 .80 .90 o95 .975 .99

0 0.05 SAMPLING PLAN NOT APPLICABLE-- ACCEPT THE LOT2 0.10 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 , (.15 18 I8 I8 18 18 18 18 17 16 14 13 10 9 7 6

34 0.20 17 17 17 17 16 15 14 13 12 11 9 7 6 5 45 0.25 16 16 16 15 14 12 11 11 10 9 7 6 5 4 4

0.30 15 15 14 13 12 11 10 9 8 7 6 5 4 4 30.35 14 13 13 12 10 9 8 8 7 6 5 4 4 3 3

a 0.40 13 12 11 10 9 8 7 7 6 6 5 4 4 3 39 0.45 12 11 10 9 8 7 7 6 6 5 4 4 3 3 3

10 0.50 11 10 9 8 7 7 6 6 5 5 4 3 3 3 3I 0.75 10 9 8 8 7 6 5 5 5 4 4 3 3 31.60 9 8 8 7 6 5 5 5 4 4 4 3 3 3 3

;. 13 0.65 8 7 7 6 6 5 5 4 4 4 3 3 3 3 314 0.70 7 7 6 6 5 5 4 4& 4 3 3 3 3 3 31~5 0.75 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3

16 C980 5 5 5 5 4 4 4 4 3 3 3 3 3 3 317 0.85 4 4 4 4 4 4 4 3 3 3 3 3 3 3 318 0.90 3 3 3 3 3 3 3 3 3 3 3 3 3 3 39i. C.95 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

k- 1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

! I

! I

° I

A-il

Page 32: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE 517F RFOUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST (OR Pa

LOT SIZE x 20ArCEPTANCE NUMBER , 3

No. PCT, PROBABILITY OF ACCEPTANCE 0 (OR Pa'FF. OFF, .01 0025 .05 .10 .20 .30 *40 o50 o60 o70 .80 *90 995 *975 .99

1 0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT0.10 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOTI 0.15 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 1,?0 17 17 17 17 17 17 17 17 17 16 14 12 11 890.25 16 16 16; 16 16 16 IS 14 13 12 11 10 8 7 66 0.30 15 15 15 15 15 14 13 12 11 10 9 8 7 6 57 0.35 14 14 14 14 13 12 11 91 10 9 8 7 6 5 512 0.40 13 13 13 13 12 11 10 9 9 8 7 6 5 5 49 0.45 12 12 12 11 10 10 9 b 8 7 6 6 5 4 410 0050 11 11 11 10 9 9 8 8 7 6 6 5 5 4 411 0.55 10 10 10 9 9 8 7 7 6 6 5 5 4 4 412 0.60 9 9 9 9 8 7 7 6 6 5 5 4 4 4 413 0.65 a 8 8 8 7 7 6 6 5 5 5 4 4 4 414 0.70 7 7 7 7 7 6 6 5 5 5 4 4 4 4 415 0*75 6 6 6 6 6 6 5 5 5 5 4 4 4 4 416 0.80 5 5 5 5 5 5 5 5 5 4 4 4 4 4 417 0.85 4 4 4 4 4 4 4 4 4 4 4 4 4 4 41i C.90 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4f 19 0.95 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

2C 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

IIIIIIIIf A- 12

Page 33: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SIE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Ra

ILT SIZE 25ArCEPTANCF NUMP.ER a 0

S7 NO. PCi. PROBABILITY OF ACCEPTANCE 0 (OR Pea')EF. DEF. .01 .025 .05 .10 *20 .30 .40 .50 O60 o70 .60 .90 .95 .975 .99

31 0.04 25 25 2425321 16 16 13 11 6 -6 3 2 1 10.0 2 21 20 17 1412 10 8 6 5 3 2 1 1 1 I

3 0.12 19 17 16 13 10 6 7 5 4 3 2 1 1 1 1

4 0:16 16 15 I3 11 8 7 5 4 3 3 2 1 1 1 16 0920 14 12 11 9 8 5 4 3 2 2 1 1 1 1 17 0.26 1 1 9 8 7 5 4 3 2 2 1 1 1 1 1

73 2 2 1 1 1 1 11 00. 0 6 7 6 4 3 3 2 2 2,1 1 1 1 1 1

in 0*g0 6 7 6 5 1 3 2 2 2 1 1 1 1 1 1

11 t0.44 7 6 5 4 3 3 2 2 1 1 1 1 1 1 1J12 0o48 6 5 5 4 3 2 2 2 1 1 1 1 1 1 113 0:52 6 5 4 3 3 2 2 1 1 1 1 1 1 1 114 0.56 5 5 4 3 2 2 .2 1 1 1 1 1 1 1 115 0*60 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1 j16 0.64 4 4 3 3 2 2 1 1 1 1 1 1 1 1 117 0.68 4 3 3 2 2 2 1 1 1 1 1 1 1 1 119 0.76 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1

20 0.64 3 2 2 2 1 1 1 1 1 1 1 1 1 1 121 3o8 3 2 2 2 111 11 11 1 11 1

12n s 1 1 1 1 1 1 1 1 1 1 174 0*92 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1

;0 1.e0067 1 1 1 1 1 1 1 1 1 1 1 1 1

AI

)IiI

A- 131

Page 34: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

I NAFI .iR-504

SAMPLE S17E REQUIRED TO ACCEPT LOT WITH A PROBABIV.ITY OF AT MOST 0 (OR . 1

L•T SIZE x 25

ArCEPTANCE NUMBER a 1

Lo PCTo PROBABILITY OF ACCEPTANCE 0 (OR Pa)DEFo DEF. o01 *025 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .975 .99

1 0.04 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.08 24 24 )?4 24 ?3 22 20 18 17 14 12 9 7 5 43 0.12 23 23 22 20 18 16 15 13 11 10 8 6 4 3 3I 4 0.16 21 20 19 17 15 13 11 10 9 7 6 4 3 3 25 0.20 19 17 16 14 12 11 9 8 7 6 5 4 3 2 26 0.24 17 15 14 12 10 9 8 7 6 5 4 3 3 2 2

S0o.28 15 14 12 11 9 8 7 6 5 4 4 3 2 2 2A 0.32 13 12 11 10 8 7 6 5 5 4 3 3 2 2 2a 0.36 12 11 10 9 7 6 5 5 4 4 3 2 2 2 2

10 0.40 11 10 9 9 6 6 5 4 4 3 3 2 2 2 2* 11 0.44 10 9 8 7 6 5 4 4 3 3 3 2 2 2 2I12 0.48 9 S 7 6 5 5 4 4 3 3 2 2 2 2 2

13 0.52 8 8 7 6 5 4 4 3 3 3 2 2 2 2 214 0.56 8 7 6 5 5 4 4 .3 3 2 2 2 2 2 2i 1 0.60 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2

116 0.64 7 6 5 5 4 3 3 9 3 2 2 2 2 2 217 0.68 h 5 5 4 4 3 3 3 2 2 2 2 2 2 2I 18 0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 219 0.76 5 5 4 4 3 3 3 2 2 2 2 2 2 2 220 0.80 5 4 4 3 3 3 2 2 2 2 2 2 2 2 221 0.84 4 4 4 3 3 3 1 1 1 1 1 1 1 1 1i 00.88 4 4 3 3 3 2 1 1 1 1 1 1 1 1 123 0.92 3 3 3 3 2 2 1 1 1 1 1 1 1 1 124 0.96 -? 2 2 2 2 2 1 1 1 1 1 1 1 1 1

25 1.00 ? 2 2 2 2 2 1 1 1 1 1 1 1 1 1

i

!A*I

Ininm n i n li~nIK n n m

Page 35: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NA.FI TRi-)Q4

SAMPLE SIF REQUIRED) TO A'(CEPT LOT WITH A PROBABILITY OF AT MOST 6 IOR Pa

I LOT SIZE a 25* ACCEPTANCE NUMBEP 2

I No* PCTe PROBAB-ILITY OF ACCEPTANCE 8 fOR P. IDEF. DEF. .01 .025 .05 .10 .20 *30 s40 o50 *6C .70 .80-*g(90.95 .-975 .99

1i 0.04 SAMPLING PLAN~ NOT APPLICABLE - ACCEPT THE LOT2 0.08 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.12 23 23- 23 23 23 23 22 21 19 18 16 13 10 9 74 0.16 22 22 22 22 20 19 17 16 15 13 11 9 7 6 55 0.20 21 21 20 19 17 16 14 13 12 10 9 7 6 5 46 0.24 20~ 19 18 16 15 13 12 11 10 9 8 6 5 4 47 0.28 18 17 16 15 13 12 10 10~ 9 8 7 5 4 4 3* 8 0.32 16 15 14 13 11 10 9 8 8 7 6 5 4 4 35 9 0.36 15 14 13 12 10 9 8 8 7 6 5 4 4 3 110 0.40 14 1ý, 12 11 9 8 7 7 6 5 5 4 3 3 3* 11 0.44 13 12 11 10 8 8 7 6 6 5 4 4 3 3 31 12 0.48 1' 11 10 9 8 7 6 6 5 5 4 4 3 3 3- 13 0.52 11 10 9 8 7 6 6 5 5 4 4 3 3 5 314 .5 10 9 8 8 7 6 5 -5 5 4 4 3 3 3 3i 15 0.60 9 8 8 7 6 6 5 5 4 4 4 3 3 3 316 0.64 1 8 7 6 6 5 5 4 4 4 3 3 3 3 317 0.68 9 7 7 6 5 5 4 4 4 4 3 3 3 3 3* 9 0.72 7 7 6 6 5 S 4 4 4 3 3 3 3 3 3i1 19 0.76 7 6 6 5 5 4 4 4 3 3 3 3 3 3 320 0.80 06 6 5 5 4 4 4 4 3 3 3 3 3 3 3- 21 0.81, 5 5 5 5 4 4 4 3ý 3 3 3 3 3 3 322 0.88 '4 4 4 4 4 4 3 3 3 3 3 3 3 3 323 0.192 3 3 3 3 3 3 3 3 3 3 .3 3 3 3 324 0.96 3 3 3 3 3 3 3 3 3 3 3 3 3 3 325 160O 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

I~A- 15

Page 36: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT 4OST 0 (OR P.

LMT SIZE a 25ACCEPTANCE NUMBER a 3

NO, PCT, PROBABILITY OF ACCEPTANCE ( (OR aDEF, DEF, .01 .025 *05 .10 *20 930 .40 *50 .60 @70 *80 ,90 .95 .975 094

1 0.04 SAMPLING PLAN NOT APPLICABLE - ACCEP T THE LOT2 0.08 SAMPLING PLAN NOT APPLICABLE - ACCEr THE LOT3 0.12 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 0,16 22 22 22 22 22 22 22 22 21 19 18 15 13 11 105 0.20 2' 21 21 21 21 20 19 18 17 -15 14 12 10 9 76 0.24 20 20 20 20 18 17 16 15 14 13 11 10 8 7 67 0.28 19 19 19 18 16 15 14 13 12 11 10 8 7 6 58 0.32 19 18 17 16 14 13 12 11 11 10 -9 7 6 6 59 0.36 17 17 1-6 14 13 12 11 10 9 9 8 7 6 5

10 0.40 16 15 14 13 12 11 10 9 9 8 7 6 5 5 411 0.44 15 14 13 12 11 10 9 8 8 7 6 6 5 4 41? 0.48 14 13 1? 11 10 9 8 8 7 7 6 5 5 4 413 0.52 13 12 11 10 9 8 8 7 7 6 6 5 4 4 414 0.56 12 11 10 9 8 8 7 7 6 6 5 5 4 4 415 0.60 1' 10 10 9 8 7 7 6 6 5 5 4 4 4 416 0.64 10 10 9 8 7 7 6 6 6 S- 5 4 4 4 417 0.68 9 9 8 8 7 6 6 6 5 5 4 -4 4 418 0972 q 8 8 7 6 6 6 5 5 5 4 4 4 4 419 0.76 7 7 7 7 6 6 5 5 5 4 4 4 4 4 420 0,80 6 6 6 6 6 5 5 5 5 4 4 4 4 4 421 0.84 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4?2 0.88 4 4 4 4 4 4 4 4 4 4 4 4 4 4 423 0.92 4 4 4 4 4 4 4 4 4 4 4 4 4 4 424 0.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 425 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A- 16

Page 37: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NA"I TR-504

SAM4PLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa

LOT SIZE , 30"-3 A(CEPTANCF NUMBER a 0

SNO* PCT, PROBABILITY OF ACCEPTANCE $ (OR P.DEFe DEF* 001 .025 .05 .10 ,20 .30 940 *50 o60 .70 .0 .90 .95 .975 .99

1 0.03 30 30 29 28 25 22 19 16 13 10 7 4 2 1 1? 0.07 27 25 '23 21 17 14 11 9 7 5 4 2 1 1 13 0.10 23 21 19 16 13 10 8 6 5 4 3 2 1 1 14 f).*13 20 18 15 13 1O 8 6 5 4 3 2 1 1 1 15 0.17 17 15 13 11 8 6 5 4 3 2 2 1 1 1 16 0.20 15 13 !1 9 7 5 4 3 2 2 1 17 .3 13 11 10 8 6 5 4 3 2 2 1 1 1 1 1r 8 0*27 1? 10 9 7 5 4 3 3 2 2 1 1 1 1 19 -0.30 1! 9 8 6 -5 4 3 2 2 2 1 1 . 110 0.33 10 8 7 6 4 3 3 2 2 1 1 1 1 1

11 0.37 9 7 6 5 4 3 2 2 2 1 1 1 1 1 112 0.40 a 7 6 5 4 3 2 2 2 1 1 1 1 1 113 0.43 7 6 5 4 3 3 2 2 1 1 1 1 1 1 114 0,47 7 6 5 4 3 2 2 2 1 1is 0.50 6 5 4 4 3 2 2 2 1 1 1 1 1 1 11,16 0.53 6 5 4 3 3 2 2 1 1 1 1 1 1 1 117 0.57 5 5 4 3 2 2 2 1 1 1 1 1 1 1 118 0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 119 0.63 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1in20 0.67 4 4 3 3 2 2 1 1 1 1 1 1 1 1 121 0.70 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1322 O.73 a 3 3 2 2 1 1 1 1 1 1 1 1 1 123 0.7? 3 3 ? 2 2 1 1 1 1 1 1 1 1 1 124 0.80 ? 3 2 2 2 1 1 1 1 1 1 1 1 1 125 0.83 1 2 2 2 1 1 1 1 1 1 1 1 1 1

26 0.87 3 2 2 2 1 1 1 1 1 1 1 1 1 1 128 0.93 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1729 0.97 ' 2 1 1 1 1 1 1 1 1 1 1 1 130 1.00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

V

A-1IA-i7

--

Page 38: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR P a

LOT SIZE = 30ACCEPTANCE NUMBER * 1

NO* PCT. PROBABILITY OF ACCEPTANCE ( (OR Pa)DEF. DEF. .01 ,025 .05 s10 .20 .30 o40 .50 *60 .70 .s0 .90 .95 .975 .99

1 0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOTS0o17 29 29 29 29 27 26 24 27 ?0 17 14 10 8 6 4

3 0.10 28 27 26 24 22 19 17 16 14 12 9 7 5 4 34 0.13 25 24 22 20 18 15 14 12 10 9 7 5 4 3 25 0.17 23 21 19 17 15 13 11 10 8 7 6 4 3 3 26 0.20 20 19 17 15 13 11 9 C 7 6 5 4 3 2 27 0.23 18 17 15 13 11 9 8 7 6 5 4 3 3 2 28 0.27 16 15 13 12 10 8 7 6 5 5 4 3 2 2 29 0.30 15 13 12 10 9 7 6 6 5 4 3 3 2 2 2

10 0.33 14 12 11 9 8 7 6 5 4 4 3 2 2 2 211 0.37 11 11 10 9 7 6 5 5 4 4 3 2 2 2 212 0.40 12 10 9 8 7 6 5 4 4 3 3 2 2 2 213 0.43 11 9 8 7 6 5 5 4 4 3 3 2 2 2 214 0.47 10 9 8 7 6 5 4 4 3 3 2 2 2 2 215 0.50 Q 8 7 6 5 4 4 4 3 3 2 2 2 2 216 0.53 8 8 7 6 5 4 4 3 3 3 2 2 2 2 217 0.57 8 7 6 5 5 4 3 3 3 2 2 2 2 2 218 0.60 7 7 6 5 4 4 3 3 3 2 2 2 2 2 219 0.63 7 6 5 5 4 3 3 3 3 2 2 2 2 2 220 0.67 6 6 5 4 4 3 3 3 2 2 2 2 2 2 221 0.70 6 5 5 4 4 3 3 3 2 2 2 2 2 2 222 0.73 6 5 4 4 3 3 3 2 2 2 2 2 2 2 223 0.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 224 0.80 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2

25 0.83 4 4 4 3 3 3 2 2 2 2 2 2 2 2 226 0.87 A 4 3 3 3 2 2 2 2 2 2 2 2 2 227 0.90 4 3 3 3 2 2 2 2 2 2 2 2 2 2 228 0.93 3 3 3 3 2 2 2 2 2 2 2 2 2 2 229 0.97 2 2 2 2 2 2 2 2 2 2 2 2 2 2 210 1.00 ? 2 2 2 2 2 7 7 2 2 2 2 2 2 2

I

I A- 18

Page 39: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504.

SAMPLE SIZE REOUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST (OR Pa

LOT SIZE a 30oACCEPTANCE NUMBER - 2

D NO. PCT. PROBABILITY OF ACCEPTANCE ( (OR •aDEF. DEF. .0 0 .025 .05 .10 .20 o30 .40 .50 .60 .70 .80 .90 .95 .975 *991 0U03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT1 0.07 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

3 0.10 28 28 28 28 28 27 26 25 23 21 18 15 12 10 8 34 0.13 27 27 27 26 24 22 21 19 17 16 13 11* 5 0.17 26 25 24 23 20 19 17 16 14 12 11 8 7 6 56 0.20 2423 2120181614131210 9 7 6 5 47 0.23 22 21 19 18 15 14 13 11 10 941 8 0.27 20 19 17 16 14 12 11 10 9 8 7 5 4 49 0.30 18 17 16 14 12 11 10 9 5 4 381 7067 4 4 310 0.33 17 16 14 13 11 10 9 8 7 6 6 5 4 3 31 0.37 16 14 13 12 10 9 8 7 7 6 5 4 4 3 3 312 0.40 14 13 12 11 8 8 7 6 5 5 4 3 3 313 0.43 13 12 11 10 9 8 7 6 6 5 4 4 3 3 314 0.47 1? 11 10 9 8 7 6 6 5 5 4 4 3 3 315 0.50 12 11 10 9 7 7 6 6 5 5 4 3 3 3 316 0.53 11 10 9 8 7 6 6 5 5 4 4 3 3 3 317 0.57 10 9 8 8 6 5 5 4 4 4 3 3 3 318 0.60 9 9 8 7 6 6 5 5 4 4 3 3 3 3 319 0.63 9 8 7 7 6 5 5 4 4 4 3 3 3 320 0.67 8 8 7 6 5 5 5 4 4 4 3 3 S 3 321 0.700 7 6 6 5 5 4 4 4 3 3 3 3 3 322 .O73 7 7 6 6 5 4 4 4 4 3 3 3 3 3 323 0.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 324 0.80 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3f 25 0.83 6 5 5 5 4 4 4 3 3 3 3 3 3 3 326 0.87 5 5 5 4 4 4 3 3 3 3 3 3 3 327 0.90 4 4 4 4 4 3 3 3 3 3 3 3 3 3 328 0.93 3 3 3 3 3 3 3 3 3 3 3 3 3 329 0.97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 £30 loOC 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

V A1

A- 19

Page 40: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

LOT SIZE = 30ACCEPTANCE NUMBER a 3

NO. PCT, PROBABILITY OF ACCEPTANCE 0 (OR P )DEFo DEF, .01 .025 .05 .10 ,20 ,30 o40 .50 *60 .70 .80 .90 .95 .975 .99

0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

1 007 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.10 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

4 0.13 27 27 27 27 27 27 27 26 25 23 21 18 16 13 115 0.17 26 26 26 26 25 24 23 21 20 18 16 14 12 10 8

6 0.20 25 25 25 24 22 21 19 18 17 15 13 11 10 8 77 0.23 24 24 23 21 20 18 17 16 14 13 il 10 8 7 68 0.27 23 22 21 19 17 16 15 14 13 11 10 8 7 6 59 0I30 21 20 19 17 16 14 13 12 11 10 9 8 7 6 5

0 0, 233 20 18 17 16 14 13 12 11 10 9 8 7 6 5 511 0.37 18 17 16 15 13 12 11 10 9 8 7 6 6 5 412 0374 17 16 15 13 12 11 10 9 9 8 7 6 5 5 413 0.43 16 15 14 12 11 10 9 9 8 7 6 6 4 413 0,47 15 14 13 12 10 9 9. 1 7 7 6 5 5 4

is 0,5(. 14 13 1? 11 10 9 8 8 7 6 6 5 5 4 416 0.53 1 14 13 1 10 9 8 8 7 7 6 5 54 4 4

17 0.57 12 11 10 9 8 8 7 7 6 6 5 5 4 4 418 0.60 11 10 10 9 8 7 7 6 6 5 5 4 4 4 4

19 0.63 11 10 Q 8 8 7 6 6 6 5 5 4 4 4 420 0.67 10 9 9 8 7 7 6 6 5 5 5 4 4 4 421 0.70 9 9 8 7 7 6 6 5 5 5 4 4 4 4 422 0.73 9 8 8 7 6 6 6 5 5 5 4 4 4 4 423 0.77 8 8 7 7 6 6 5 5 5 4 4 4 4 4 4

24 0.80 7 7 7 6 6 5 5 5 5 4 4 4 4 4 425 0.83 6 6 6 6 5 5 5 5 4 4 4 4 4 4 426 0.87 5 5 5 5 5 5 5 4 4 4 4 4 4 4 427 0.90 4 4 4 4 4 4 4 4 4 4 4 4 4 4 428 0.93 4 4 4 4 4 4 4 4 4 4 4 4 4 4 429 0.97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 430 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-20

Page 41: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ION P.1

J LOT SIZE " 35ACCEPTANCE NUMBER , 0

NO. PCT. PROBABILITY OF ACCEPTANCE $ (OR Pa )DEF. DEF. .01 .025 s05 .10 *20 *30 .40 .50 o60 *70 .10 o90 o95 .975 .99

3 1 0.03 35 35 34 32 29 25 22 18 15 11 8 4 2 1 12 0.06 32 30 27 24 20 16 13 11 8 6 4 2 1 1 13 0.09 27 25 2.2 19 15 12 9 8 6 4 3 2 1 1 14 0.11 23 21 18 15 12 9 7 6 5 3 2 1 1 1 15 0.14 20 18 15 138 5 4 3 2 1 1 1 16 0.17 18 15 13 11 8 6 5 4 3 2 2 1 1 1 17 0.20 16 14 12 9 7 6 4 4 3 2 2 1 1 1 IF 8 0.23 14 12 10 8 6 5 4 3 2 2 1 1 1 1 19 0.26 13 11 9 7 6 4 3 3 2 2 1 1 1 1 1

10 0.29 12 10 8 7 5 4 3 3 2 2 1 1 1 1 111 0.31 11 9 8 6 5 4 3 2 2 1 1 1 1 1 112 0.34 10 8 7 6 4 3 3 2 2 1 1 1 1 1 113 0.37 9 8 6 5 4 3 2 2 2 1 1 1 1 1 114 0.40 8 7 6 5 4 3 2 2 2 1 1 1 1 1 115 0.43 8 6 5 4 3 3 2 2 1 1 1 1 1 1 116 0.46 7 6 5 4 3 2 2 2 1 1 1 1 1 1 117 0.49 7 6 5 4 3 2 2 2 1 1 1 1 1 1 118 0.51 6 5 4 4 3 2 2 1 1 1 1 1 1 1 119 0.54 6 5 4 3 3 2 2 1 1 1 1 1 1 1 1 120 0.57 5 5 4 3 2 2 2 1 1 1 1 1 1 1 121 0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 122 0.63 5 4 3 3 2 2 1 1 1 1 1 1 1 1 123 0.66 4 4 3 3 2 1 1 1 1 1 124 0.69 4 4 3 2 2 2 1 1 1 125 0.71 4 3 3 2 2 1 1 1 1 1 1 1 1 1 126 0.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 I27 0.77 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 I28 0.80 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1J 29 0,81 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1

30 0.86 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1113 0.91 3 2 2 21 1 1 1 1 1 1 1 1 1 1 132 0.94 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 j34 0.97 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1

'3 1.00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1

A2

11- II

A- 21

Page 42: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NA.' TP-504

SAMPLE 517F REOUIRED TO AC.EPT L,, WITH A PROBABiLITY OF AT MOST 8 (OR Pa

LOT SIZE - 35ArCEPTANCF NUMBER 1

1 NO. PCT. PROBABILITY OF ACCEPTANCE 8 (OR PaDEF. DEF. .01 .025 005 .10 .20 .30 @40 .50 *60 .70 .80 .90 .95 .975 e99

1 0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.06 34 34 34 34 32 30 28 25 23 20 1612 9 6 43 0.09 33 32 30 28 25 23 20 18 J6 13 11 8 6 4 34 011 30 28 26 24 20 18 16 14 1? 10 8 6 4 3 25 0.14 27 25 23 20 17 15 13 I1 8 7 5 4 3 2

0 .17 24 22 20 18 15 13 11 10 8 7 6 4 3 2 27 9.20 21 19 18 15 13 11 10 8 7 6 5 4 3 2 2

0.23 19 17 16 14 11 10 8 7 6 5 4 3 3 2 29 0.26 18 16 14 12 10 9 8 7 6 5 4 3 2 2 2

10 0.29 16 14 '13 11 9 8 7 6 5 4 4 3 2 2 2I1 0931 15 13 12 10 8 7 6 5 5 4 3 3 2 2 212 0.34 14 12 11 9 8 7 6 5 4 4 3 2 2 2 2

13 0.37 13 11 10 9 7 6 5 5 4 3 3 2 2 2 214 0.40 12 10 9 8 7 6 5 4 4 3 3 2 2 2 215 0.43 11 10 9 7 6 5 5 4 4 3 3 2 2 2 216 0*46 10 9 8 7 6 5 4 4 3 3 2 2 2 2 217 0.49 10 8 8 7 5 5 4 4 3 3 2 2 2 2 218 0.51 9 8 7 6 5 4 4 3 3 3 2 2 2 2 2i9 0.54 8 7 7 6 5 4 4 3 3 3 2 2 2 2 220 0.57 8 7 6 5 4 4 3 3 3 2 2 2 2 2 221 0,60 7 7 6 5 4 4 3 3 3 2 2 2 2 2 222 0.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 223 0.66 7 6 5 5 4 3 3 3 2 2 2 2 2 2 224 0.69 6 6 5 4 4 3 3 3 2 2 2 2 2 2 225 0,71 6 5 5 4 3 3 3 2 2 2 2 2 2 2 226 0.74 6 5 4 4 3 3 3 2 2 2 2 2 2 2 227 0.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2

28 0.80 5 4 4 3 3 3 2 2 2 2 2 2 2 2 229 0.83 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2

2 2 2 2 2

11 0.89 4 4 3 3 3 2 2 2 2 2 2 2 2 2 232 0.91 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

0 o.94 3 3 3 3 2 2 2 2 2 2 2 2 2 2 234 0.97 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2r 1.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

I

A-??

Page 43: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAF Ti-50h

SAMPLE SI1E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST t (,< P

FL0r SIZE a 35ACCEPTANCF NUMBER =2

NO. PCT. PROBABILITY OF ACCEPTANCE S (OR PIDF:F. DEF. .01 .025 .05 .10 .20 .30 *40 .50 .60 .70 .80 990 95 975 *99

;1 003 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

S2 006 SAMPLING PLAN NOT APPLICABLE ACCEPT THE LOT3 0.09 33 33 33 33 33 32 30 28 27 24 21 17 14 11 94 011 .32 32 32 30 24 26 24 22 20 18 16 12 80 6 61 5 0:14 13 3 30 28 26 24 22 20 18 16 14 12 10 8 6 56 0.17 28 27 25 23 20 19 17 15 14 12 10 8 7 5 47 0.20 26 24 23 21, 18 16 15 13 12 10 9 7 6 5 4

0.O23 24 22 20 18 16 14 13 12 10 9 8 6 I9 0.26 22 20 18 17 14 13 12 10 9 8 7 6 5 4 310 0.29 20 18 17 15 13 12 10 9 8 7 6 5 4 4 3

"r ii 0.31 18 17 15 14 12 II 10 9 8 7 6 5 4 3 I12 0.34 17 16 14 13 11 10 9 8 7 6 5 4 4 5 3

i13 0.37 16 14 13 12 10 9 8 7 7 6 5 4 4 3 314 0.40 15 13 12"r 11 9 8 8 7 6 5 5 4 3 3 315 0.43 14 13 11 10 9 8 7 6 6 5 5 4 3 3 3

J 16 0.46 13 12 11 I0 8 7 7 6 5 5 4 4 3 3 3

17 O49 12 11 10 9 8 7 6 6 5 5 4 3 3 3 3. 18 0*51 11 10 9 8 7 7 6 5 5 4 4 3 3 3 3

19 0.54 ii 10 9 8 7 6 6 5 5 4 4 3 3 3 320 0*57 10 9 8 8 6 6 5 5 4 4 4 3 3 3 3 321 p',60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 321 0.66 9 8 "76 6 5 5 4 4 4 3 3 3 3 324 0.69 8 7 7 6 5 5 4 4 4 3 3 3 3 3 3

24 0*6978 7 7 6 5 5 4, 4 4, 3 3 3 3 3?5 0.71 8 7 6 6 5 5 4 4 4 3 3 3 3 14 3

26 0.74 7 7 6 5 5 4 4 4 4 3 3 3 3 3 327 0*77 7 6 6 5 5 4 4 4 3 3 3 3 3 328 0.80 6 6 5 5 4 4 4 3 3 3 3 3 3 3I 29 0.83 6 6 5 5 4 4 4 3 3 3 3 3 3 3 330 '.186 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 I

4 4 3 3 3 3 3 3 3 3 334 0,97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 335 0190 3 3 3 3 3 3 3 3 3 3 3 3 3 3 335 1400

I

I

Page 44: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

WNI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOSTO (OR a )

LflT SIZE a 35ACCEPTANCF NUMBER = 3

I NO. PCT. PROBABILITY OF ACCEPTANCE 0 (OR P )•EF, DEFo .01 o025 .05 o10 o20 .30 .40 .50 *60 .70 .80 .90 .95 s975 .99

1 0,03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.06 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.09 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 0.11 32 32 32 32 32 32 31 30 29 27 24 21 18 15 135 0.14 31 31 31 31 29 28 26 25 23 21 19 16 13 11 96 0.17 30 30 29 28 26 24 22 21 19 17 16 13 11 9 87 0.20 29 28 27 25 23 21 19 18 17 15 13 11 9 8 78 0.23 27 26 24 23 20 19 17 16 15 13 12 10 8 7 69 0.26 25 24 22 21 18 17 15 14 13 12 10 9 7 6 5

10 0.29 23 22 20 19 17 15 14 1 12 11 9 8 7 6 511 0.31 22 20 19 17 15 14 13 12 11 10 9 7 6 5 512 0.34 20 19 17 16 14 13 12 11 10 9 8 7 6 5 513 0.37 19 17 16 15 13 12 11 10 9 8 7 6 5 5 414 0.40 18 16 15 14 12 11 10 9 9 8 7 6 5 5 415 0.43 16 15 14 13 11 10 9 9 8 7 7 6 5 4 416 t#4.6 15 14 13 12 11 10 9 8 8 7 6 5 5 4 417 0.49 l! 13 12 11 10 9 8 8 7 6 6 5 5 4 4

l 18 0.51 14 13 Il 11 9 9 8 7 7 6 6 5 4 4 419 0.54 13 12 11 10 9 a 7 7 6 6 5 5 4 4 420 0.57 11 11 10 10 8 8 7 , 6 6 5 5 4 4 421 0,60 12 11 10 9 8 7 7 6 6 o 5 4 4 4 422 0.63 11 10 9 9 8 7 6 6 6 5 5 4 4 4 41 0.6 10 10 9 8 7 7 6 6 5 5 5 4 4 4 4

24 0.69 10 9 8 8 7 6 6 6 5 5 4 4 4 4 425 0.71 9 9 8 7 7 6 6 5 5 5 4 4 4 4 426 0.74 9 8 8 7 6 6 5 5 5 5 4 4 4 4 427 0,77 8 8 7 7 6 6 5 5 5 4 4 4 4 4 428 0.80 8 7 7 6 6 5 5 5 5 4 4 4 &. 4 4I 29 0.83 7 7 6 6 5 5 5 5 4 4 4 4 4 4 430 0.86 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4ii 0.89 5 5 5 5 5 5 4 4 4 4 4 4 4 4 432 0.91 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

33 0.94 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4314 0097 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

4510 4 4 4 4 4 4 4 4 4 4 4 4 4 4

I-•

ll n liI ii l l l E l | l l• | I In Q l

Page 45: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

rAFI TR-504

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa)

LOT SIZE " 40A(CEPTANCE NUMBER " 0

S NO. PCT. PROBABILITY OF ACCEPTANCE . (OR PaDFF. DEF. .01 .025 .05 .10 *20 .30 .40 .50 960 *70 .80 *90 .95 o975 .99

1 0.02 40 40 39 3733 29 252117 13 9 5 3 2 12 0.05 36 34 31 28 2218 15 12 9 7 5 3 2 1 13 0.07 31 28 25 21 )7 13 11 9 7 5 3 2 1 1 14 0.10 27 24 21 17 13 10 8 7 5 4 3 2 1 1 1

0.13 23 20 18 14 11 9 7 5 4 3 2 1 1 1 16 0.15 21 18 15 12 9 7 6 5 4 3 2 1 1 1 1

* 7 0.17 18 16 13 11 8 6 5 4 3 2 2 1 1 1 1S0o20 16 14 12 10 7 6 4 4 3 2 2 1 1 1 19 0.22 1,5 13 11 9, 6 5 4 3 2 2 1 1 1 1 1

10 0.25 13 11 10 8 6 4 4 3 2 2 1 1 1 1 111 0.27 12 10 9 7 5 4 3 3 2 2 1 1 1 1 1

12 0.30 11 10 8 6 5 4 3 2 2 2 1 1 1 1 113 0.32 10 9 7 6 4 3 3 2 2 1 1 1 1 1 1

r14 0.35 10 8 7 5 4 3 3 2 2 1 1 1 1 1 115 0.38 9 8 6 5 4 3 2 2 2 1 1 1 1 1 1I17 0.42 8 7 6 543 3 2 2 1 1 1 1 1 1 1

le 0.45 7 6 5 4 3 2 2 2 1 1 1 1 1 1 119 0.47 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1

21 20 0.50 7 5 5 4 3 2 2 2 1 1 1 1 1 1 1*21 0.52 6 5 4 3 3 2 2 1 1 1 1 1 1 1 1

122 0.55 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1I24 0.607 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1

24 0.65 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1250.e63 5 4 3 1 2 2 1 1 1 1 1 1 1 1 1

27 0.67 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1I?9 0.70 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1?q 0.72 4 3 3 2 2 1 .6 1 1 1 1 1 1 1 q

30 0.75 4 3 3 2 2 1 1 1 1 1 1 1 1 1 131 0.77 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1

3 00 1 32 2 1 1 1 1 1 1 1 1 1 14 1082 332221 1111111 1 1

34 0.85 3 2 2 2 1 1 1 1 1 1 1 1 1 1 135 088 3 2 2 2 1 1 1 1 1 1 1 1 1 1 136 0.90 2 2 2 2 1 1 1 1 1 1 1 1 1 1

137 0.92 2 2 2 1 1 1 1 1 1 1 1 1 1 1 138 0.95 2 2 2 1 1 1 ~1 1 1 1 1 1 1 139 0.97 2 2 1 1 1 1 1 1 1 1 1 1 1 1

40 i .00 1 1 1 1 1 1 1 1 1 1 1 1 1 1

-2

] 15 .38 9 8 6A. 2

Page 46: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMIPLE S17E REQUIRED TO ACCEPT LOT WITH A PROBA" ITY OF AT MOST 8 (OR Pa

LMT SIZF = 40ACCEPTANCF NUMBER = 1

NO, PCT, PROBABILITY OF ACCEPTANCE $ (OR Par)FF. DEF. .01 ,025 .05 .10 .20 .30 .40 .50 .60 70 *80 o90 .95 .975 .99

1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOTI;, oo0.05 39 39 39 38 36 34 32 29 26 23 19 14 10 7 5

3 0.07 38 36 35 32 29 26 23 21 18 15 12 9 6 9 34 0.10 14 32 30 27 23 21 s 16 14 11 9 7 5 4 ?

0.13 30 28 26 23 20 17 15 13 11 9 7 40.15 27 25 23 20 17 14 13 11 9 8 6 5 3 3 2

7 0.17 25 22 20 18 15 13 11 9 8 7 5 4 3 2 28 0.20 22 20 18 16 13 11 10 P 7 6 5 4 3 2 29 0*22 20 18 16 14 12 10 9 ' 6 5 4 3 3 2 2

10 0.25 19 17 15 13 11 9 8 7 6 5 4 3 2 2 2

12 0,27 17 15 14 12 10 8 7 6 5 4 4 3 ? 2 212 0.30 16 14 13 11 9 8 7 6 5 4 3 3 2 2 213 0.32 15 13 12 10 8 7 6 5 5 4 3 3 2 2 214 0.035 14 12 11 9 8 6 6 5 4 4 3 2 2 2 2

S 0.38 1 11 10 9 7 6 5 5 4 3 3 2 2 2 216 0.40 15 11 9 8 7 6 5 4 4 3 3 2 2 2 217 0 .42 11 10 9 8 6 5 5 4 4 3 3 2 2 2 218 0.45 11 9 8 7 6 5 4 4 3 3 3 2 2 7 219 0,47 10 9 8 7 6 5 4 4 3 3 2 2 2 2 220 0.50 9 8 7 6 5 5 4 4 3 3 2 2 2 2 221 0.52 9 8 7 6 5 4 4 3 3 3 2 2 2 2 222 0.55 8 7 7 6 5 4 4 3 3 3 2 2 2 2 2

23 0.57 a 7 6 5 4 4 3 3 3 2 2 2 2 2 224 0.60 8 7 6 5 4 4 3 " 3 2 2 2 2 2 225 0.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 226 065 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2

7 0.67 6 5 4 4 3 3 3 2 2 2 2 2 2 228 0.70 6 5 5 4 4 3 3 3 2 2 2 2 2 2 2I29 0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 230 0.75 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2'41 0,77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 212 0.80 5 4 4 3 3 3 2 2 2 2 2 2 2 2 23 0.82 5 4 4 3 3 3 2 2 2 2 2 2 2 2 21 4 0.85 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2-5 o0.8 4 4 3 3 3 2 2 2 2 2 2 2 2 2 236 0.90 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

I 092? 4 3 3 3 2 ? 2 2 2 2 2 2 2 2 2Is 095 3 3 1 -2 2 2 P 2 2 2 2 2 2 2

1 *7 2 2 2 2 2 2 2 2 ? 2 2 9' 7 2 2I40 !000 ? 2 2 2 2 2 2 2 2 2 2 1 2

A- 2b

Page 47: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE S17E REQUIRED TO ACCEPT LOT W•TH A PROBABILITY OF AT MOST B (OR Pa

LiT SIZE ' 40-ACCEPTANCF NUMBER * 2

* NO. OCT. PROBABILITY OF ACCEPTANCE 0 (OR P)FF. DEF. .01 .025 .05 .10 .20 o3O .40 *50 .60 .70 ,80a90 .95 .975 .99

1 f 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.07 38 38 38 38 38 36 34 32 30 28 24 20 16 13 104 0.10 37 37 36 34 32 30 27 25 23 20 18 14 11 9 7• 5 0.13 ,5 '4 32 30 27 25 23 21 18 16 14 11 9 7 66 0.15 32 31 29 26 23 :1 19 17 15 14 12 9 7 6 57 0,17 30 28 26 24 21 18 17 15 13 12 10 8 6 5 48 0.20 27 25 23 21 18 16 15 13 12 10 9 7 6 5 49 0.?2 ?5 23 21 19 16 15 13 12 11 9 8 6 5 4 410 0.25 23 21 19 17 15 13 12 11 10 8 7 6 5 4 37 11 0.27 21 19 18 16 14 12 11 10 9 8 7 5 4 4 3S12 0.30 20 18 1 15 13 11 13 9 8 7 6 5 4 4 313 0.02 18 17 15 14 12 10 9 8 7 7 6 5 4 3 314 0.35 17 2'4 14 13 11 10 9 8 7 6 5 4 4 3 315 0.3, 16 15 13 12 10 9 8 7 6 6 5 4 4 3 316 0.40 25 14 12 II 9 8 3 7 6 5 5 4 3 317 0.42 14 13 12 10 9 8 7 6 6 5 5 4 3 3 3i 18 0.45 1? 12 i1 10 8 7 7 6 5 5 4 4 3 3 319 0.47 i i I1 10 9 8 7 6 6 5 5 4 4 3 32 0.50) 12 II 1 9 8 - 6 6 5 4 4 3 3 3 321 0.52 11 10 9 8 7 6 6 a 5 4 4 3 3 3 322 0.55 1 1ý, 9 8 7 6 6 5 5 4 4 3 3 3 323 0.57 20 9 8 8 6 6 5 5 4 4 4 3 3 3 324 0.60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 3i 25 0.63 9 8 8 7 6 5 5 4 4 4 3 3 3 3 326 0.65 9 9 7 6 t 5 5 4 4 4 3 3 3 3 327 0.67 8 8 7 6 5 5 4 4 4 4 3 3 3 3 328 0.70 8 7 7 6 5 5 4 4 4 3 3 3 3 3 329 0.72 8 7 6 6 5 5 4 4 4 3 3 3 3 3 330 0.75 7 6 5 5 4 4 4 3 3 3 i 3 3 3-1 0.77 ' 6 6 5 5 4 4 4 3 3 3 3 3 3 3" 3 2 0.80 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 m33 0.82 6 6 5 5 4 4 4 3 3 3 3 3 3 3 334 0.85 6 5 5 4 4 4 3 3 3 3 3 3 3 3 335 0.88 5 5 5 4 4 & 3 2 3 3 3 3 3 3 336 0.90 • 5 4 4 4 3 3 . 3 3 3 3 3 3 33 7 0.92 A 4 4 4 4 3 3 3 3 3 3 3 3 3 338 0.95 3 3 3 3 3 3 3 ? 3 3 3 3 3 339 0.97 3 3 3 -3 3 3 3 3 3 3 3 3 3 3 440 1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A- 27

Page 48: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o0

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST . (OR Pa)

LOT SIZE = 40ACCEPTANCF NUMBEP c 3

NO. PCT. PROBABILITY OF ACCEPTANCE 0 (OR Par)FF, DEF. *01 9025 e05 .10 ,20 ,30 ,40 ,50 #60 .70 .80 .90 .95 .975 o99

S1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT TE LOT

? 0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 007 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 0.10 37 37 37 37 37 37 36 34 33 31 28 24 20 17 145 0.13 36 36 36 36 34 32 30 28 26 24 21 18 15 1? 116 0.15 35 35 34 32 29 27 26 24 22 20 18 15 12 10 9j 7 0.17 34 32 31 29 26 24 2? 21 19 17 15 12 10 9 78 0.20 31 29 28 26 23 21 20 18 17 15 13 11 9 8 79 0.22 2Q 25 24 21 19 18 16 15 13 12 10 8 7 6

S!o 0.25 27 23 22 19 17 16 15 13 12 11 9 7 6 611 0.27 25 23 22 20 18 16 15 13 12 11 10 8 7 6 512 0.30 23 22 20 18 16 15 13 12 11 10 9 7 6 6 513 3 0.2 22 20 19 17 15 14 12 11 IC 9 8 7 6 5 5

14 *35 20 19 17 16 1', 13 12 11 10 9 8 7 6 5 415 0*38 19 18 16 15 13 12 11 10 8 7 6 416 0.40 18 17 15 14 12 11 10 9 9 8 7 6 5 5 4

17 0.42 17 16 14 13 1? 10 10 9 8 7 7 6 5 4 418 0.45 16 15 14 12 11 10 9 8 8 7 6 5 5 4 419 0.47 15 14 13 12 10 9 9 8 7 7 6 5 5 4 420 0.50 14 13 12 11 10 9 8 8 7 6 6 5 4 4 421 0.52 1& 13 12 11 9 8 8 7 7 6 5 5 4 4 422 0.55 13 12 11 10 9 8 7 7 6 6 5 5 4 4 4

23 0.57 12 11 10 10 8 8 7 7 6 6 5 5 4 4 424 0.60 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4

0.63 11 10 9 9 8 7 7 6 6 5 5 4 4 4 4

26 0.65 11 10 9 8 7 7 6 6 5 5 5 4 4 4 427 0.67 10 9 9 8 7 6 6 6 5 5 5 4 4 4 4I 28 0.70 0 9 8 8 7 6 6 5 5 . 4 4 4 4 4

29 0'72 9 8 8 7 6 6 6 5 5 5 4 4 4 4 4

30 0.75 9 8 8 7 6 6 5 5 5 5 4 4 4 4 4

11 0.77 8 a 7 7 6 6 5 5 5 4 4 4 4 4 4

32 0.80 8 7 7 G 6 5 5 5 5 4 4 4 4 4 433 0.82 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4

34 0.85 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4

]35 0.88 6 6 6 6 5 5 5 4 4 4 4 4 4 4

16 0.90 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4

37 0,92 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

1 0.9, If 4 4 4 4 4 4 4 4 4 4 4 4 439 0.97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

40 1.00 4 4 4 4 4 4 4 4 4 4 & 4 4 4 4

-

A - 28F

Page 49: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

3 NAFI TR-504

I SAPLE SI7E REQUIRED rO ACCEP'T LOT WITH A PROBAbILITY OF AT MOST ( (OR Pa)

LflT SIZE = 45£ ACCEPTANCE NUMBER = 0

I PCT PROBABILITY OF ACCEPTANCE (OR*, 0DFF. .01 9025 *05 o10 *20 ,30 .40 .50 *60 o70 .80 ,90 e95 s975 .99

0,02 45 44 43 41 37 32 28 ?2 19 14 10 5 3 2 1I ? 0.04 41 38 35 31 25 21 17 14 11 8 5 3 2 1 13 0.07 35 32 28 24 19 15 12 10 7 5 4 2 1 1 1 I, 0.09 30 27 23 20 15 12 9 7 6 4 3 2 1 1 1

O.l1 26 23 20 16 12 10 8 6 5 3 2 1 1 1 1I 6 0.13 23 20 1, 14 10 8 7 5 4 3 2 1 1 1 17 0.16 21 18 15 12 9 7 6 4 3 3 2 1 1 1 1A 0.18 19 16 13 11 8 6 5 4 3 2 2 1 1 1 1I Q 0.20 17 14 12 10 i 6 4 4 3 2 2 1 1 1 1

10 0,22 15 13 11 9 6 5 4 3 3 2 1 1 1 1 11 ,24 14 12 10 8 6 5 4 3 2 2 1 I I 1

12 0927 13 11 Q 7 5 4 3 3 2 2 1 1 1 1 1!3 0.29 12 10 8 7 5 4 3 3 2 2 1 1 1 1 114 ()0] 11 9 8 6 5 4 3 2 ? I I 1 1 1 115 0.33 10 9 7 6 4 3 3 2 2 1 1 1 1 1 116 0.36 10 8 7 5 4 3 3 2 2 1 1 1 1 1 117 0038 9 8 6 5 4 3 2 2 2 1 1 1 1 1 11i 0.40 9 7 6 5 4 3 2 2 2 1 1 1 1 1 ,! 0o42 8 7 6 5 3 3 2 2 1 1 1 1 1 1 1?I 0.44 8 6 5 4 3 3 2 2 1 1 1 1 1 1 1

?1 0,47 7 6 5 4 3 2 2 ? 1 1. 1 1 1 1 1 1.>7 n.49 ' 6 5 4 3 2 2 ? I 1 1 1 1 1 1i ?3 C,51 6 5 4 4 3 2 2 A 1 1 1 1 1 1 124 0.53 6 5 4 3 3 2 2 1 1 1 1 1 1 1 1 j?5 (0.56 6 5 4 3 2 2 2 1 1 1 1 1 1 1 126 0.*8 5 5 4 3 2 2 2 1 1 1 1 1 1 1 1 -.

?-f7 0.60 A 4 4 3 2 2 2 1 1 1 1 I I 1I28 0.62 5 4 3 3 2 2 1 1 1 1 i 1 1 1 1?Q 0.64 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1I" 0.67 '1 4 3 2 2 11J31 0.69 4 4 3 2 2 2 1 117 1 1 1•0• .71 4 3 2 2 1 1 ' 1 1 1 1 1 1 132 0.73 4 3 3 2 2 1 1 1 1 1i 14 e0.76 4 , 3 2 2 1 11 1 1 1 1 11 1.4c r'.7A 'A 3 2 2 1 1 1 1 1 1 1 1 11".6 0 80 p' 3 ? 2 21 1 1 117 0.812 3 3 2 1 1 1 1 1 1 1 1 1 1 1I 0,84 3 ? p ? 1 1 1 1 1 1 1 1 1 1 1IQ 0.87 3 ' 2 2 1 1 1 1 1 1 1 1 1 1 1

4 I 93 ? 2 2 1 1 1 1 1 1 1 1 1 1 14Mf ) 2 I 2 1 1 1 1 1 1 1 1 11

43 0.96 2I 4-,2aO O - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 •4 4' 1.00 1 1 1 1 1 1 1 ] 1 1 1 1 1 1 1 J4 -

A -

Page 50: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLF Si7t REQUIRMD TO ACCEPT LOT WITH A PROBABILITY OF AT YOST ( (OR Pa

Le)T SiZF = 45ACCEPTANCF NUMSFR = 1

PCT. PROBABILITY OF ACCEPTANCE • (OR Pa,-,ro DFFo .01 o025 .05 .10 *20 o30 *40 950 *60 s70 .80 o90 .95 .975 o99

0.0? SAMPLING 0 LAN NOT APPLICABLF - A"CEPT THE LOT0.04 44 4A 44 43 41 38 35 32 29 25 21 15 11 8 50,07 42 41 39 36 32 ?9 26 23 20 17 14 10 7 5 4

4 0.09 38 36 34 31 26 23 20 18 15 13 10 7 5 A 3S ý)*I. 34 3? 29 26 22 19 17 14 12 10 p 6 4 3 2

0 .13 31 28 26 23 19 16 14 12 10 9 7 5 4 3 2S 0*16 28 25 23 20 17 14 12 1l 9 8 6 4 3 3 2

0 ,,18 25 23 20 18 15 13 11 9 8 7 5 4 3 2 20 )O?0 23 21 19 16 13 11 10 8 7 6 5 4 3 2 2

!0 21 39 17 15 12 10 9 8 6 5 4 3 3 2 211 ",.?4 20 17 15 13 11 9 8 7 6 5 4 3 ? 2 2

18 16 14 12 10 9 7 6 5 5 4 3 2 2 211 17 15 i3 1! 9 8 7 6 5 4 4 3 2 2 214 "31 16 14 12 11 9 7 6 5 5 4 3 3 2 2 2

"". 15 11 11 10 8 7 6 5 4 4 3 2 2 2 214 12 11 9 8 6 6 4 4 4 3 2 2 2 2

I2 11 9 7 6 S 5 4 3 i 2 , o*4 1? 11 iC 8 7 6 5 4 4 3 ? 2 2 2 2

%•42 12 1C 9 8 6 5 5 4 4 3 3 2 2 2 2"n,44 1. 1 a 8 7 6 5 4 4 3 3 3 2 2 2 2

" " 4.47 10 1 9 0 7 6 5 4 4 3 3 2 2 2 2 249 9 8 7 5 5 4 4 3 3 2 2 2 2 2

"A I 8 7 6 5 4 4 3 3 3 2 2 2 2 2".,53 _9 8 ? 7 6 5 4 4 • 3 3 2 2 2 2 2

"4 7 6 5 4 4 3 3 2 2 2 2 2 2:" 6 8 7 7 6 5 4 4 3 3 3 2 2 2 2 2 2

"8 0Co A 7 6 5 4 4 3 3 3 2 2 2 2 2 2^,61 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2n667 7 6 5 5 4 3 3 3 2 2 2 2 2 2 20.67 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2

,6 6 5 4 4 3 3 3 2 2 2 2 2 2 2, ,6• 6 5 5 4 4 3 3 2 2 2 2 2 2 2 2"%•7 6 5 5 4 . 3 3 2 2 2 2 2 2 2 2

74 19 6 5 44 3 3 2 2 2 2 2 2 214 .M676 4 4 3 3 2 2 2 2 2 2 2 2

4. .,• 5 4 3 2 2 2 2 2 2 2 2 2 2S & 4 14 i 2 2 2 2 2 2 2 2 2

4 4 3 2 2 2 2 2 2 2 2 2 2 2q1 8 4 4 4 2 2 2 2 2 2 2 2 2 2-i8n 4 4 3 3 2 2 2 2 2 2 2 2 2 2

4 1 2 2 2 2 2 2 2 2 2 2 29 -4 11 2 2 2 2 2 2 2 2 7 2 2

4- n96 3 3 3 2 2 2 2 2 2 2 2 2 2 2 24L .98 ? 2 2 2 2 2 2 2 2 2 2 2 2 2 24,2 l'-' 7 2 2 2 2 2 2 2 2 ? 7 2 2 2

A- 3(0

Page 51: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SAMPLF CýIF RE0UIREr) TO AC(FPT LOT WITH A PROPAS!'ITY OF AT MOST e (OR Pa

-- LnT SIE 45ArF-PANr. NUMr!Q = ?

,pý PCT, 'ROPABILITY OF ACCEPTANCE 8 (OR Pa" CP 'O DEFo o0! *025 *,Ot o10 o20 o30 ,40 .50 o60 o70 .80 o90 .95 o975 .99

1 0.0? SAMPLING PLAN NOT APPLICABLF - ACCEPT THF LOTSCo04 SAMPLING PLAN NOT APPLICABLE - AC'*EPT THE LOT

41 .07 13 43 "3 43 42 Ali 39 36 34 31 27 22 18 14 114 %009 42 47 61 19 36 33 31 28 26 ?3 20 15 12 10 8

o.11 41 38 36 34 30 28 25 ?1 21 18 16 1? 10 8 66 0.13 37 34 32 ?0 26 24 22 19 17 15 13 10 8 7 57 0.16 33 31 29 26 23 21 19 17 15 13 11 9 7 6 5A 0.18 31 28 26 24 21 18 17 15 13 12 10 8 6 5 49 120 28.2 26 ? 4 22 19 17 15 13 12 10 9 7 6 5 4 49 %2? 28?6 247 22 10 17 15 1 3 12 11 9 7 6 5 4 4

11 0.24 24 22 20 18 15 14 12 11 10 9 7 6 5 4 3F 'p' 0)2" ?3 20 19 17 14 13 11 10 9 8 7 5 4 4 3

13 0.29 ?1 19 17 15 13 12 10 9 8 7 6 5 4 4 3 414 3.31 20 1e 16 14 12 11 10 9 8 7 6 5 4 3 3]a 10! 19 17 15 1' 11 i0 9 8 7 6 6 4 4 3 3 '

S16 0.?6 17 16 14 13 11 10 9 8 7 6 5 4 4 3 3 1n2 0.3 16 15 13 12 10 9 8 7 6 6 5 4 4 3 3

"1I q 4"V 16 14 13 11 10 8 8 7 6 5 5 4 3 3 319 no4? 15 13 12 11 9 8 7 6 6 5 5 4 3 3 3

n,44 14 12 11 10 9 8 7 6 6 5 4 4 3 3 31 1.4-7 'A 12 11 10 8 7 7 6 5 4 4 3 3 1

11) %49 a? i 1 7 6 6 5 5 4 3 3 3 30. ? r)51 1? 11 13 9 7 7 6 5 5 4 4 3 1 3 3 7 4I:: 11 10 9 8 7 6 6 r 5 4 4 3 3 3 30, SOL I 10i 9 8 7 6 5 5 4 4 31 3 3

? 6 (0.58 10 9 8 7 6 6 5 5 4 4 4 3 3 3 3 10,6 10 q p 7 6 6 5 5 4 4 3 3 3 3 3 3"10 6? 9 a 8 7? 6 5 5 4 4 4 3 3 3 3 3

?9 0.64 9 A 7 6 5 5 4 4 4 3 3 i 3 3n 7 65 4 i 31 .1 8 76 5 5 4 4 4 31 3 3 1 3 30.73 7 7 6 f, s 4 4 4 4 3 3 3 3i 3 3

.4. '0.71 7 6 6 5f 5 4 4 4 4 3 3 3 3 3 3 1-0. e76 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 2

7, 0,78 7 6 5 6 . 4 4 4 3 3 3 3 3 3 307 0.8? 6 6 5 = 4 4 4 '4 3 3 3 3 11 3 3

4 4 4 33 3 3 3 3).*8 7 6 A; 5 4 4 4 3 14 3 3 3 3 3 3 1

A*9~5 5 4 4l 4 3 3 33 3 3 3 3 4

41 p9 1 S 5 4 4 4 3 3 1% 2 3 3 3 3 3 41z4' 0.91 4 4 & 4 3 3 3 3 34 3 3 3 4

4-2 0.96 i ? 1 3 3 3 14 3 3 3 3 a 3 41-44 0.9 3 3 3 3 3 3 3 3 ' 3 3 3 3 41

45 1 .0 or 1 3 3 3 1 3 3 3 3 3 3 1 3

A- 31

Page 52: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

i'J.. 1 .L Tt'(- 2 zj•

'AMVPLF r17E REQUIREr) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Pa

Lm C17TF = 41ýArrFPTANrF NUMPR =

PCT, PROBABILITY OF ACCEPTANCE • (OR Pa" 0FF. .oCl o025 o05 lO *20 *30 s40 ,50 ,60 *70 .80 990 o95 .975 499

o0.0? SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

C0C4 5AVOLING PLAN NOT APPLICABLE - ACCEPT THE LOT""%oC7 5AMPLINC PLAN NOT APPLICABLE - ACCEPT THE LOT

4 0.09 4? 42 42 42 4? 42 40 39 17 34 31 26 23 19 16001.1 41 41 41 40 38 36 34 32 29 27 24 20 17 14 12

4 0o 39 38 36 13 31 29 27 24 22 20 16 14 12 97 U016 18 36 74 32 9? 27 25 2? 21 19 17 14 12 10 8Q 0,18 35 3- 31 29 26 24 22 20 19 17 15 12 10 9 7C02. i3 31 29 27 24 22 20 '8 17 15 13 11 9 8 6

j" 0.?? 30 28 26 24 2? 20 18 16 15 13 12 10 8 7 611 0,?4 7p 26 24 22 20 !A 16 'r, 14 12 11 9 8 7 6I? ý0,7 2f 24 23 21 18 16 15 14 13 11 10 8 7 6 5!" .29 ?5 23 21 10 17 15 14 13 12 10 9 8 7 6 54 po31 23 21 20 )P 16 14 13 12 11 10 9 7 6 5 5

3•03 22 20 19 17 1!.F 13 12 11 10 9 8 7 6 5 5f' ne'.2 ?l I ) I 14 1? 11 10 10ft 9 p 6 6 5 4

Q 18 ,16 15 13 12 11 10 9 8 7 6 5 5 4qA ol. I l 17 i6 !4 '? 11 10 q 9 8 7 6 5 5 4

0942 17 16 i5 13 1? 11 10 9 8 7 7 6 5 4 4M,44 17 15 14 13 11 10 9 8 8 7 6 5 5 4 4ro47 16 1'. 1•3 1? 11 10 9 p 7 7 6 5 5 4 4r.? r49 15 14 13 1! 10 9 8 8 7 6 6 5 5 4 4

14 11 1? 11 in 9 8 7 ' 6 6 5 4 4 4`4 n,5i 14 12 11 10 9 8 8 7 6 6 5 5 4 4 4

13 1? 1" 10 9 8 7 7 6 6 5 5 4 4 412 1! 10 10 8 A 7 7 6 6 5 4 4 4 4?7 12 11 .0 i 8 7 7 6 6 5 5 4 4 4 4

-a 11 Ir i0 9 8 7 7 6 6 5 5 4 4 4 4"1o 10 9 • " ' 6 6 5 5 5 4 4 4 41 0 97 7 6 6 5 5 5 4 4 4 A10 9 8 ? 6 6 6 5 5 4 4 4 4 4

"0.71 10 9 8 7 6 6 5 5 3 4 4 4 4 4"9 8 8 7 6 6 6 S 5 5 4 4 4 4 4

'24 9 a 7 7 5 6 5 5 5 4 4 4 4 4IK 8 8 7 7 6 6 5 5 5 4 4 4 4 4 4

0. . 8k 8 7 7 6 6 5 5 5 5 4 4 4 4 4 417 A 7 '? 6 6 5 5 5 4 4 4 4 4 , 4lp n,94 7 7 6 6 5 5 5 S 4 4 4 4 4 4 440 !" 4 8 7 6 6 5 S 4 4 4 4 4 4 4 441 neg 6 6 f 5, 5 4 4 4 4 A 4 4 4 441 1%69i 5 L 5 4 4 4 4 4 4 4 4 44" ' o-i 4 4 4 4 4 4 4 4 4 4 4 4 4 4 441 1)996 4 4 4 4 4 4 4 4 4 4 4 4 4 4 444 M,99 4 4 4 4 4 4 4 4 4 4 4 4 A 4 44s ] oIn 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-32

Page 53: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

iJAFI TR- 50

"MIAPLr I"!F RC_ (I IPF I) - ("-FP T LOT WITH A PROqAkILITY. O AT MOST OR P

L T Sl I

T-', pT PclFr4APIl. ITv OF ACC'FPTANCF (OR Pa

. 'F' C .01 .025 .0' * 1 , :0 o30 40 .50 o60 *70 e80 .90 .95 .97) o99

0.02 50 49 48 46 41 36 31 26 21 16 11 6 3 2 1C ~4 459, 4 ? 1 Q 7 A 23 19 i r 1? 9 6 3 1

39 .• 3! 2' ?1 17 13 12 8 6 4 ? 1 . 1"" 0 'p 34 30 1ý 7 13 10 q 6 5 3 2 1 1"" " , 29 26 22 1P 14 II 9 7 5 4 3 2 1 1 1

3- 9 2' 29 2A 2? 9 74 3�7 1 1 4 1* 14 7i f) 1~ 14 1~ t- 6 : 3 ? 1 1 2 1

".16 ?1 1p 15 7R 6 4 3 3 2 1 1 1%1A 'Q ?6

0 1' 14 1 1)0 " 6 4 4 i 2 2 1 1 1 1!!?7 16 1" ii • - 5 4 " 3 2 1 1 1 1 1

I 1? r.?4 15 12 10 R , 5 4 3 2 I I 1 1'3 ro? 14 12 1 A 4 3 1 ? 2 1 1 1 1 1

S,4 ".?0 !2 10 9 "• = 4 3 3 2 2 1 1 1 2 1"?1 0 4 4 3 2 2 1 1 1 1 1

1r q 7 4 4 " 7 7 1 1 1 1 1 1-O ".36 10 9 7 C; 4 3 ' ' 1 1 1 1 1 1

I4l - ,. 76 5 4 1. 2 ' 2 1 1 1 1 ! 1

s 4^9 7 6 9,4 1 2 2 2 ! 1 I I I 10,% 7 P 7 6 5 3 ' 2 2 2 1 1 p 1 2 1

"" 42 ? 1 1 1 1 1 1 1 1 1'4 46 7 9 4 2 2 2 7 1 1 1 1 1 1 1

7 4 22

4 A • 2 ? 1 1 1 2 1 1 14 4 • " 2 2 1 1 I I1 1 2

r. " 6 4 " ? 7 2 1 1 1 1 1 1 11

L 4

4 i ? 1 1 1 1

44

It 14

4~ 100 1

4. on " ' ' 1, I ¶ 2 1 1 2 1 1 1

4.11

Iq 4ON^ 1 12 1 1

Page 54: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-50h

'.A"PLF cI 7F R9E0IjIR") TO AC.'FPT LOT WITH A PROBABIL11Y OF AT MOST • (OR P

L'•r ';?F 50Ar("EPTANCF NllM'rQ 1

* DtT, PPOBA~ii L1t' 01- ACCEP'rANCF $ (OR Par,,*" DEF, 001 .0?5 .05 .10 .20 930 940 .50 .60 *70 ,80 o90 .95 .975 .99

S .O? •AMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT"I.C!, 49 49 49 43 4r 42 39 36 32 ?8 23 17 12 q 6

" 47 45 43 40 3Lý 32 29 26 22 19 15 11 8 6 44 3", nR 41 4P 37 34 29 26 23 20 17 14 11 8 6 4 3318 5 3 29 25 21 19 16 14 11 9 6 5 4 314 2I 29 25 ?1 18 16 14 '? 10 8 5 4 3 2

"^!"4 28 25 2? 18 16 14 1? 10 8 7 5 4 3 7S ().16 ?8 2r- 11 20 16 14 12 10 9 7 6 4 3 3 2

o2 2?. lp 15 12 11 9 q 7 5 4 ' 2 224 21 19 16 i3 11 ]0 8 7 6 5 4 .3 2 2

0! •.2? 12 19 17 15 12 10 9 8 7 5 4 3 3 2 21? %0?4 20 18 16 14 11 9 8 7 6 5 4 3 2 2 2

1.11 r.. 10 9 8 7 6 5 4 3 ? 2 ?14 '•"28 18 16 14 12 10 8 7 6 5 4 4 3 2 2 2r 17 15 13 11 9 8 7 6 5 4 3 3 2 ? 2. 32 16 1it 12 10 A 7 6 5 5 4 ? 1 2 2 2'= ", •e 14 l9 !I 12 1 1 1 5 2 _

1A 1A 1 I ') 8 7 6 5 4 4 ? 2 2Ia 14 12 i.1 9 7 6 6 5 4 4 3 2 2 2 2

" , 1' 9o 6 5 5 4 ' 3 2 2 217 s4) 17 l p 7 6 5 4 4 3 3 2 2 2

"" , 9 9 5 5 4 4 3 3 2 2 2""44 1 IC 7 6 5 5 4 " 1 3 2 2 ? 7

"41f, 8 7 6 5 4 4 3 3 2 ? 2 ? 2, 1 P*. r 4 4 2 2 2 2

all , ' 5 4 4 3 3 2 ? 5 4 4a 7 4 4 3 3 3 2 2 2 ?

, 8 7 5 4 4 3 3 2 7 2 2 2q 7 " 3 4 4 2 3 2 2 2 2 ? 2& 7 6 5 4 4 3 32 2 2 2 2 2 2

q 7 6 5 4 4 2 3 2 2 ?IL 5 4 41 3 2 7 2 7 ? 2

1IA 1 2 2 2 ?7 A5 4 3 2 ? 2 2 ? 2

A . 4 4 3 3 2 2 2 7? ~'A 44 3 3 2 2 2 2 2 2

4 " 4 2 3 2 2 2 2 2 2 2 279 4 4 3 3 ?2 2 2 2 2

5 50 4 4 3 3 ' 2 2 2 2 2 2IA .'* a^ 4 4' A ~ 2 1 2 2 7 241 on-) 4 4 1 2 2 ' 2 2 7 2

41 4 4 1 2 2 2 5 7 24- ,s 4 4 4 1 2 2 7 2 7 2 24 A 4 4 1 3 1 2 7 ? 2 2 7 2

44 ILa 4 1 4 7 2 2 2 2 2 2 2 2 24 O *Q7 4 2 4 3 2 2 2 2 2 2 2 2 2 7

41 14Q 3 2 3 2 2 2 2 2 2 2

22 2 22 2 2 2 2 2 2 2 2

3.

Page 55: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

f',aMPLr C,7r RpOUIPF( r TO ACC'FPr LOT WITH A PROP!ARILITY OF AT MOST e (OR Pa)

LM•T e17c = 5CArefPTANCP NlImPFR = 2

n, Pk^T o PROBABILITY OF ACCEPTANVE 5 (OR Pa- r"FF, flFF, .01 ,025 .05 .10 *20 ,30 .40 ,50 *60 *70 .80 *90 95 o975 ,90

1.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOi1,04 SAMPLING PLAN NOT APPLICABLE - ACCEPt THE LOT,0 4 48 4, 48 IL7 4. 43 4,0 38 34 30 24 20 16 12

4 C009 47 47 45 43 40 37 34 31 28 ý5 22 -17 14 11 8[ 0:14 44 4? 40 38 34 31 28 26 23 20 17 13 11 9 7 m001p 41 38 36 33 29 26 24 22 19 17 14 11 9 7 6" 0.14 37 35 12 29 26 23 21 19 17 15 12 10 B 6

27 19 1718 1 15 1321 10 8 6 5 .3 n, 14 32 29 26 23 20 18 16 15 13 11 8 7 6 49 .618 17 ?q ?7 24, 21 18 16 1IS 13 11 10 a 6 5 4

• 2o~n 29 27 24 22 19 17 15 13 12 10 9 7 6 5 4"ii ,? 7 2r ?11 7P 17 15 14 17 11 9 8 6 5 4 4i? 0,,24 25 21 21 19 16 14 12 1 1 10 9 7 6 5 4 3

?0 24 21 1 17 15 13 12 10 9 8 7 5 5 4 3'4 (.2, 22 2r .8 16 14 12 11 10 9 8 6 5 4 4 3

1 A -• 19 17 15 11 11 10 9 8 7 6 5 4 4'6 0.3? ?2 18 16 14 12 11 9 8 8 7 6 5 4 1 31 n o14 I 17 12 if0 9 8 7 6 5 4 4 i .

",1 17 1o6 14 11 11 9 p A 7 6 5 4 A 3

o 4C 1 14 131 11 i I c 7 6 5 5 4 3 3o42 15 11 12 11 9 B 7 7 6 5 5 4 3 3 3

' 0. 44 14 11 12 10 9 8 7 6 6 5 4 4 1 i 314 1? !1 IC 8 7 7 6 5 5 4 4i c

.4P 13 1? 1 0 9 8 7 6 6 5 5 4 3 3 3 3"" ", 12 11 10 9 8 7 6 6 5 4 4 3 3 3"" o 1? 1 9 .8 "7 6 6 5 S 4 4 3 3 31 ^11 0 A 7 6 6 5 4 4 3 3 l 3

1' F,6 c) 8 7 6 5 5ý 4 4 4 3 189 8 7 6 6 5 5 4 4 4 3 1 3 3

1f 9 8 7 6 6 5 S 4 4 3 3 1 3

e% Ok 1 - 7 6 5 5 4 4 4 3 3 " 3"•? o. 7 8 ' 7 5 5 4 4 3 3 4 3 3

9 s 7 6 6 5 4 4 4 3 3 3 3 314 0.06 a A 7 6 5 5 4 4 4 3 3 3 3 3 3

8ý - ý 7 7 6 5 5 4 4 4 3 3 3 14 3f", 017 1 7 6 6 5 5 4 4 4 3 3 3 1 3 1

7 ,. 0.74 7 7 , 6 5 4 4 4 . 3 3 3 3 3p 6 5 5 4 4 A 3 3 3 3 i 3 3

S ~ 6 4 4 4 3 3 3 3 1g 4 4 4 3 3 3 3 3 3 3

41 1% 1 5 A 4 4 4 3 3 3 1

41 &~Q 5 4 4 4 3 3 3 3 3 1 3

4' .Q. a 4 4 3 3 3 3 3 34 1

3 3 3 3 3 3 3 3 3 3 3 3 3 1 3""o9 3 1 3 3 3 3 3 1 3 3 3 3 3 3

1, .00 l 1 3 "3 3 3 3 3 3 3 3 3

3:ý

Page 56: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

!MPLF CI7F RFQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR P a

LmT SIZE " 50AI"CEPTANCF NUMRCR = 3

No, PCT* PROBABILITY OF ACCEPTANCE 0 (OR P )rýPF, flEF. .01 o025 *05 .10 .20 .30 .40 .50 .60 *70 .80 *90 .95 .975 c99

1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT0.04 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT

' 0)C6 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 1008 47 47 47 47 47 46 45 43 41 38 34 29 25 21 17

S o, 46 46 46 45 42 40 37 35 32 30 26 22 16 16 136 0012 45 44 42 40 17 34 32 29 27 25 22 18 15 13 10

f".14 4? 40 18 36 13 30 28 26 23 21 1S 15 13 11 98 ",16 39 37 35 32 29 27 24 22 20 18 16 13 11 9 89 0.CI 36 34 12 30 26 24 22 20 18 16 14 12 10 8 7

1 0.20 34 32 30 27 24 22 20 18 16 15 13 11 9 8 6l1 0.22 32 29 27 25 22 20 18 17 15 13 12 10 8 7 612 0.24 30 27 25 23 20 18 17 15 14 12 11 9 8 7 611 n.76 28 26 74 21 19 17 15 14 13 11 10 8 7 6 514 M.?F 26 24 '7 20 18 16 14 .13 12 11 9 8 7 6 5

1 %0- r )4 ) 2 71 l 161 1 i 17 11 1M 9 7 6 6 516 n.32 23 21 70 18 15 14 13 17 10 9 8 7 6 5 517 n.34 2? 20 18 17 15 13 1UZ 1! 10 9 8 7 6 5 418 "o36 ?1 19 17 16 14 12 11 10 9 8 7 6 5 5 4i9 ,.i3P 20 18 17 15 13 12 11 10 9 8 7 6 5 5 4

..4^ 19 i7 16 I/' 1? 11 10 9 8 8 7 6 5 5 471 n.42 18 16 15 13 12 11 10 9 8 7 7 6 5 4 4

"?? .144 1.7 if, 14 11 11 10 9 a 8 7 6 5 5 4 4"112 .46 16 15 14 1? 11 10 9 8 7 7 6 5 5 4 4?4 (),8 16 14 13 12 10 9 8 8 7 7 6 5 5 4 4? 0.59 15 14 12 11 10 9 8 8 7 6 6 5 4 4 4?6 f.5? 14 11 12 11 9 9 8 7 7 6 S 5 4 4 4

17 not4 14 1? 11 10 9 8 8 7 6 6 5 5 4 4 4? 1.•6 3 i1 11 1n 9 8 7 7 6 6 S S 4 4 4"79 .5sp8 1P 11 11 10 8 8 7 6 6 6 5 4 4 4 4

no 17 11 10 9 8 7 7 6 6 S 5 4 t 4 4""1 no,2 12 11 i0 9 8 7 7 6 6 5 5 4 4 417 '1.64 11 10 9 8 8 7 6 6 S 5 5 4 4 4 4"v3 0.6f 11 10 9 8 7 7 6 6 5 5 S 4 4 4 4

0 O,68 10 9 9 8 7 6 6 6 5 5 6 4 4 4 4" "9I 9 8 8 7 6 6 5 S 5 4 4 4 4 4

if, 0.72 9 8 7 7 6 6 5 5 5 4 4 4 4 4"9 9 8 7 6 6 5 5 S 5 4 4 4 4 4

0 9 8 7 7 6 6 5 5 ' 4 4 4 4 4 4"-1 01,70 p 7 7 A 6 5 5 s 4 4 4 4 4 44m n 08"I oO 7 7 6 6 5 S S 5 4 4 & 4 4 441 n,,? 4 7 7 6 6 5 5 5 4 4 4 4 4 4 4

11 1.84 7 7 c 6 5 5 5 5 4 4 4 4 4 4 4"&d .M,6 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4"tts .ý8A 7 6 6 6 S 5 5 4 4 4 4 4 4 4 4

's fI.9'n 6 6 6 5 5 5 4 4 4 4 4 4 4 4 446 0.92 s 5 S 5 5 4 4 ' 4' 4 4 4 447 0.94 4 4 4 4 4 4 4 4 4 4 4 4 4 4 448 0.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 449 'g98 4 4 4 4 4 4 4 4 4 4 4 4 & 4 4

90 *0 4 4 4 4 4 A 4 4 4 4 $4 4# 4 4

Page 57: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

A'MPLF SIF PEOUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST a (OR Pa)+a

LnT SIZE = 55ArCEPTANCF NUMRFR = 0

Nn. PCT, PROBABILITY OF ACCEPTANCE 0 (OR P ISF F DEF. .01 e025 .05 .10 .20 .30 .40 .50 *60 .70 .80 *90 .95 .975 .99

o.02 55 54 53 50 45 39 ?4 28 23 17 1 6 3 2 1tl *.04 50 46 43 38 31. 25 21 16 13 9 6 3 2 1 10.05 41 39 15 29 23 18 15 12 9 7 4 2 1 1 1

4 .t+ 07 .7 3i 29 24 18 14 11 9 7 5 3 2 1 1 1i 0.09 12 28 24 20 15 12 9 7 6 4 1 2 1 1 1)Oil 29 25 21 17 13 10 8 6 5 4 2 1 1 1 1

7 0o13 26 2? 19 15 11 9 7 5 4 3 2 1 1 1 1a r0.15 23 19 17 13 10 8 6 5 4 3 2 1 1 1 19 C.16 21 18 15 12 9 7 5 4 3 2 2 1 1 1 1n 0.1p 19 16 14 1 a 6 5 4 3 2 2 1 1 1 1

(1 0.20 1i 15 12 1, 7 6 4 4 3 2 2 1 1 1 1M7 16 14 11 9 7 5 4 3 3 2 1 1 1 1 1

14 1 3 11 p 6 5 4 2 1 1 1 1 1

r 0.?5 14 12 10 8 6 4 4 3 2 2 1 1 1 115 fo$?7 13 1! 9 6 t 5 4 3 3 2 2 1 1 1 1 116 0 1? 1018 9 7 5 4 3 2 2 2 1 1 1 1 117 N.il 1 10 8 6 5 4 3 2 2 1 1 1 1 1 .j '2 O.11 9 8 6 4 3 3 2 2 1 1 1 1 1 1

31; 1i 8 7 6 4 3 3 2 2 1 1 1 1 I2 .0036 10 a 7 5 4 3 3 2 2 1 1 1 1 1

N9 8 6 1 4 3 2 2 2 1 1 1 1 12 ? . 9 7 6 5 4 3 2 2 2 1 1 1 1 1 1

8 'A a 7 $ C3 3 3 2 2 1 1 1 1 1 1 14 "4,1 8 7 5 4 3" 2 21 1 1 1 1 1 1

S'" 9.5" 8 6 5 4 3 2 2 2 1 1 1 1 1 1 1

1 f0.47 7 6 5 4 1 2 2 2 1 1 1 1 1 17- I ' 4 2 2 Q 1 A 1 1 i 2 127 f.5 1 7 5 4 , 2 2 1 1 1 1 1 1 1 1,Q 0*5 6 4�. 3 2 2 1 1 1 1 1 1 1 12

05 4445f 6 4 3 2 2 2

5 Ai 5 3 7 2 12'sf s 4 4 2 2 1

2, IA 3 21 1 1 ! 1 1 1 1 1 1

0 .7 ,•.7 ' 21 1 1 1 1 1 1 1 1 18; M. * 3 4 2 2 1 1 1 1 1 1 1 I 1 1.ft 1 3 3 ' 2 1 1 1 1 1 1 1 1. 6 4

a'm ", d", 2• ' 1 1 1 1 1 1 1 1 1' 10.75,e 3 ' 7 2 2 1 1 1• 1 1 1 1 1 1 1

l. ^.Se 3 1 ? 2 1 1 1 1 1 1 1 1 1 1 16.4~ 2 1 1 1 1 1 1 1 1 1 114' ".55 3 ~72 2 1 1 1 1 1 1 1 1 1 1

A- 37

Page 58: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LOT STZE * 55Ar(*FPTANCP NUMPFR = 0

N. PCT. PROBABILITY OF ACCEPTANCE • (OR Paf)FF* FFF' o.01 025 .05 .10 .20 o10 40 .50 .60 .70 *go *90 .95 *975 .99

, .o i 2 1 1 1 1 1 1 1 1 1 1. 2 2 1 1 1 1 1 1 1 1 1 1 1

•. ¼•96 2 2 !. I 1 1 1 1 1 1 1 1 1 1 1"4 2 1 1 1 1 1 1 1 1 1 2 1 1 1'.0, 1 1 1 1 1 1 1 1 1 A 1 1 130

A- 3•

Page 59: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

jm NAFI TE-504

ýAMPLE ý17F RFOUiREr) TO ACCEPT LOT, WITH A PROBABILITY OF AT MOST 8 (OR Pa

F LnVT SIZE 55ArCEPTANCE NUMBER 1

No*

ýl 11O0 PrT, 'PROBABILITY OF ACCEPTANCE 8(OR P.)FF* 'D E *01 o025 *05 .10,'.20 .30 .40 e50 *60 *70 .80 1.90 .95 o975 .99

if0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT0.04 54 54 ~4 50 47 43 40 35 31 25 18 1? 10 6

3 0.05 52 50 48 S 39 35 32 28 24 21 -7 12 8 6 4 5

5 09 42 39 36 32 27 232018 1513 10 7 5 4' 3

6 0.11 38 35 32 28 23 20' 17 15 13 11 8 6 4 3 20 01 ?A ? 1 28 25 20 17 15 13 11 9 7 5 4 3 2Voi 31 28 25 22 18 15 13 11 10 8 6 5 3 3 2"10.16 29 26 21 20 16 14 12 10 9 7 6 4 13 3 2

i 0.18 26 23 ?1 18 '5 12 11 9 8 7 5 4 3 2 2

i7 02 7 0 18 15 12 10 9 8 7 6 4 3 3 2 2

0. n24 21 19 16 14 11 10 8 7 6 5 4 3 2 2 214 0.25 20 17 15 13 11 9 8 7 6 5 4 3 2 2 2

is 02 9 1 4 1 0 8 7 6 5 4 4 3 2 2 216 (1 *,2 391 6 154121098 7 6 54 43 22 2

17 0.31 16 14 13 11 9 7 6 6 5 4 3 3 2 2 211 09? 16 14 12 10 8766 55 4 3 2 2 2 2

9 15 1 11 I 10 8 7 6 5 4 4 3 2 2 2 21 096 14 12 1' 9 7 6 5 5 4 4 14 2 2 2 2

21 )0.38 13 12 '10 9 7 6 5 5 4 3 3 2 2 ~2 2

27 06r 13 11 10 8 7 6 5 4 4 .3 3 2. 2 2 2?4 O.44 12 10 9 a 6 5 5 4 3 3 3 2 27 .2 2?4 1.44 11 10 8 7 6 5 4 4 3 3 2 2 2 2 2'

05.47 10 9 8 7 6 3 2 2 ~2 2 2? 097 10 9 8 7 5 5 4 4 3 3 2 -2 2 2 2

?7 0.519 10 98 76 5 4 4 3 3 3 2 2 2 2 2>0953 10 a 7 6 5 4 4 3 3 3 2 -2 2 2 -2

29 0.55 9 8 7 6 5 4 4 3 3 3 2 2 2 2 .20.55 87 7 6 5 4 4 3 3 2 2 2 -2 2- 2V0.56 8 7 7 6 5 4 4 3 3 3 2 2, 2 2 2 2

338 7 6 5 4 4A 3 3 3 2 2 2 2 2 234 o 0.6 8 7 6 5 4 4 3 3 3 2 2 2 2 2 21 067 7 6 6 5 4 4 3 3 2 2 2 2 2 2 2

i c; 10065 7 6 5 5 4 3 3 3 2 2 2 2 2 2 217 Po65 7 6 5 4 4 3 3 3 2 2 2 2 2 2 237 (0.67 6 6 5 4~ 4 3 3 3 2 2 2 2 2 2 2

18 0 9 6 6 5 43 3 3 3 2 2 2 2 2 2 2 -

Iq .n71 6 5 5 4 3 3 32 2 2 2 2 2 2 24n ( -.75 6 5 5' 4 3 3 3 2 2 2 2 2 2 2 2

41 0.*75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2S4P 0.76 5 5 4 4 3 3 2 2 2 2 2 2 2 2, 2

4? 0.78 5 4 4 3 3 3 2 2 2 2 2 2 2 2 244 0.8? 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2

46 0.8'. 5 4 4 3 3 3A7 0.5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2

46 N84 4 3 3 32 2 2 2 2 2 2 2 2 2

40 08) 4 4 3 3 3 2 2 2 2 2 2 2 2 2 251 .009 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

A- 39

Page 60: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4 '-j

LnT SIZF 55 J1AfCEPTANCF NUMBER - 1

PCT. PROBABILITY OF ACCEPTANCE 0 (ORnFlo o)1 *025 .05 .10 .20 *30 .40 .50 .60 .70 .80 o90 .95 .975 .99

4091 4 3 3 1 2 2 2 2 2 2 2 2 2 2 2(" f95 3 3 3 3 2 2 2 2 7 2 2 2 2 2 2

0.99 2 2 7 2 2 2 .. 2 22 2 2 2 2 2 7

1.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2i

iA

I

numnnnn nn unn n nnununmnnmunm nnuaunmmnn u n mummmumunnmun N • nn • n n n unnnI

Page 61: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

DTAFI TR-5o4

SAMPLP C17*.: ReOUIRFD 10 ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (0R Pa|

LMT SIZE - 55

ArCEPTANCE NUM .FR vNO.r)EFo

60 N1, PCT. PROBABILITY OF ACCEPTANCE 0 (OR ." "Fo DEF. .01 .425 e05 .10 .20 .30 .40 .50 o60 *70 .80 o90 .95 .975 .99 51

.N-0.0? SAMPLING PLAN NOT APPLICAPLE - ACCEPT THE LOT 5A*0C'ý SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4SC:05 53 53 53 53 52 49 47 44 41 38 33 27 21 17 1-

. 0.0, 5? 51 50 47 44 40 37 34 31 28 24 19 15 12 90.09 49 47 44 41 37 34 •I 28 75 2? 19 15 '? 9 7P. .1-1. 45 4 ? 40 16 3? 29 26 24 21 18 16 12 10 8

7 0.13 41 38 36 32 28 25 23 20 18 16 13 10 8 7" 8 !.15 3e, 35 32 29 25 22 20 18 16 14 12 9 7 6 59 0.16 15 32 29 26 2? 20 18 16 14 12 10 5 7 5 4

10 M 1 rep 7 29 27 74 21 18 16 15 11 11 9 7 6 5 411 0V2, 10 27 25 22 19 17 15 13 12 10 9 7 6 5 417 0,2? 2A 25 23 21 17 15 14 1? 11 9 8 6 5 4 4"" .2o24 26 2L 21 19 16 14 13 11 10 9 7 6 5 4 314 .o25 25 22 20 18 15 1" 12 11 9 8 7 6 5 4 3Sr7 21 1 c_ 17 14 1? 11 1M 9 8 7 5 4 4 3:i2 27 2C 18 16 1S 12 10 9 8 7 6 5 4 4 317 21 18 17 15 12 11 10 9 8 7 6 5 4 3 32 06.2? 19 17 16 14 12 10 9 8 7 6 6 5 4 3 3

19 0,?7 28 17 15 13 !1 I' 9 8 7 6 5 4 4 3 37m 0.36 18 16 14 13 11 9 8 7 7 6 5 4 4 3 3S"•. i' 1•5 13 12 10 9 8 7 6 6 5 4 3 3 32 20.40 16 14 13 11 10 8 8 7 6 5 5 4 3 3 3S O.e4? 125 14 12 11 9 8 7 7 6 5 5 4 3 3 3A '0544 15 I3 1? 10 9 8 7 6 6 5 4 4 3 3 3

"14 12 11 10 8 7 7 6 5 5 4 4 3 3 3

0,47 1 ? 9 8 7 6 6 5 5 4 4 3 3 3""7 9 F0 )7 6 5 5 4 4 3 13 13 3

0 1,6 11 1 L 9 8 7 76 5 5 4 4 3 3 3 329 0,; 10 9 8 7 6 6 5 5 4 4 4 3 3 3 310 0, i 9 8 7 6 6 5 5 4 4 3 3 1 3 3

S 0,6? 10 9 a 7 6 5 5 4 4 4 3 3 3 3 3"i5 0,69 9 8 7 6 6 5 4 4 4 4 3 3 3 3'4 065 1 9 8 7 6 6 5 5 4 4 3 3 3 3 3

0.6 0,7 8 7 6 6 5 4 5 4 4 4 3 3 3 3 3 IIs 0.69 9 8 7 7 6 5 4 4 4, 3 3 3 3 3 3S) 0,7. a 7 6 6 5 5 4 4 4 3 3 3 5 3 3i4 0.73 8,7 6 5 4 4 4 3 3 3 3 3 34' 1069 7 7 7 5 5 4 4 4 4 3 3 3 3 3 3IQ .,7 9 6 , 6 5 4 4 4 3 3 3 3 1 3 34' 0,.7P 76 6 . 5 4 4 4 3 3 3 3 3 3 34 01; 7 6 f 5 5 4 4 4 3 1 3 3 3 3 3 3 I4.) 0.8 ,6 o 6 k5 5 45 4 4 4 i 3 3

46 00984 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3

47 0. ~ 6 5 5 4 4' 4' 3 3 3 3 3 3 3 3 349 00~7 f. s 5 4 4 4 3 3 3 3 3 3 3 3 340 M.89 s 5 5) 4 4 3 3 14 3 3 3 3 3 3 35 ti 51 5 4' 4 4 3 3 3 3 3 3 3 3 3 3

A-43.

Page 62: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LM'T 517F 55ArrFPTANCF NUJM~rP 2

PCT* PROBABILITY OF ACCEPTANCE 0 (OR 0 )". DEF. .01 .025 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .9, 975 .99

00.91 5 4 4 4 4 3 3 3 9 5 3 3 3 300•95 4 4 '4 4 3 3 3 3 3 3 3 3 .3 30.98 3 3 3 3 3 3 3 3 3 3 9 3 93 3* 1.00 3 3 3 3 3 3 3 3 3 3 3 3 1 3 •

I41

III

SI

S I,

A.I,2

Page 63: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI ThR-5o4

.AMPLE •I7E RF.UIRED TO ACCEPT LOT WI1H A PROBABILITY OF AT MOST 8 (OR Pa

LMT SIZE , 55AP(EPIANCE NUMSF. NO.

NOr)FF,

.- " CT, 'PROBABILITY OF-ACCEPTANCE 0 (OR P )F . EF .01 o025 .05 .10 .20 .30 o40 o50 e60 .70 .80 e9u .95 .975 o99

1 0.02 SAMPLIN'3 0 LAN NOT APPLICABLE ACCEPT THE LbT2 Ooo4 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 55

3 ." SAMPLING PLAN NOT APPLICABLE -- ACCEPT THE LOT4 0.07 52 52 52 52 52 51 49 47 45 42 38 32 27 23 195 0.09 51 51 51 49 46 43 41 38 36 33 29 24 20 17 146 0.11 50 48 4.6 44 40 38 35 32 30 27 24 20 16 14 117 , 0.13 47 44 4? 39 36 33 30 28 26 23 20 17 14 128 o.15 43 41 39 36 32 29 27 25 22 20 18 14 12 10 -89 !016 4m 38 35 33 29 26 24 22 70 18 16 13 11 9 710 i;1a 37 35 33 30 26 ?4 22 20 18 16 14 12 10 8 711 0.20 i5 3? 30 27 ?4 22 20 18 16 15 1? 11 9 8 6

7 0 2•3 "0 28 25 7? 20 18 17 15 14 12 10 8 7 6l1 ,P o 41 28 76 24 21 19 17 15 14 13 11 9 8 7 614 n.?ý 29 26 ?4 22 19 17 16- 14 13 12 10 8 7 6i5 .) 27 2 c,. 21 18 .16 15 13 72 11 10 8 7 6 516 0.29 26 24 2? 20 17 15 14 13 11 10 9 8 6 6 517 003, 24 22 20 18 16 14 13 12 11 10 9 7 6 516 0.33 23 21 19 17 15 14 12 11 10 9 8 7 6 519 V, 35 2? 2n 18 17 14 13- 12 11 10 9 8 7 6 5 4? 0.36 21 19 17 16 14 12 11 -10 9 8 7 6 5 5 4?I 0,38 20 18 17 15 13 12 11 10 9 8 7 6 5 5 42? 0.40 19 17 16 14 12 11 10 9 8 8 7 6 5 5 4214 Oo42 18 17 15 14 12 11 10 9 8 7 7 6 5 4 424 0.44 17 16 14 13 11 10 9 9 8 7 6 5 5 4 475 0*45 17 15 14 12 11 10 9 8 8 7 6 5 5 426 0.47 16 14 13 12 10 9 9 8 7 7 6 5 5 4 427 0.49 15 14 13 11 10 9 8 8 7 6 6 5 4 4 4[ 1 0,51 15 1 1.2 11 10 9 8 7 7 6 6 5 4 4 432 e.53 14 13 12 11 9 8 7 7 6 5 5 4 4 43C 0.655 1 12 11 10 9 8 7 7 6 6 5 5 4 4 431 0.56 13 12 91 10 9 8 7 7 6 6 5 5 4 4 41 ? 0.58 11 11 O 8 7 7 6 6 6 5 4 4 4I7 0."7, ? 10 1 0 9 8 7 7 6 6 5 5 5 4 4 4 448 0.6? 12 191 1 9 8 7 7 6 6 _5 5 4 4 4 4

35 0.64 1 10 9 9 8 7 6 6 6 5 5 4 4 4 446 0o65 3i 10 9 8 7 7 6 6 5 5 5 4 4 437 (0o67 1O 10 9 8 7 7 6 Is 5 5 5 4 It 4 4.

is 001$9 10 9 9 8 7 6 6 F) 5 5 4 4* 4 4 4

39 0,71 rl, 9 8 7 7 6 6 5• 5 5 4. 4 4 4 4

41 0.75 9 8 8 7 6 6 5 5 5 5 4 4 4 4 442 0.76 9 8 7 7 6 6 5 5 5 4 4 4 4 4 441 0e78 8 8 7 7 6 5 5 5 5 4 4 4 4 4 444 0.80 8 7 7 6 6 5 5 5 5 4 4 4 4 4 445 0.82 8 7 7 6 6 5 5 5 4 4 4 4 4 44_ 6 0.R4 p 7 6 6 5 5 5 5 4 4 4 4 4 4 447 ),Rrl 7 7 6 6 5 5 5 4 4 4 4 4 4 4 448 !o87 7 6 6 6 5 5 5 4 4 4 4 4 4 4 449 0089 7 6 6 5 5 5 4 4 4 4 4 4 4 4 45(l 0.91 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4

A-43

,'l • m u u u n nnm m • uto ••In ni n• mm nn nu

Page 64: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

L'T S17E = 55A, ..PTANCF NUMBER = 3

P CTo PROBABILITY OF ACCEPTANCE 8 (OR a)EF', .01 ,025 ,05 .10 ,20 *30 .40 *50 .60 970 .80, 90 .95 .975 .99

0.93 5 5 5 5 5 4 4 4 4 4 4 4 4 4 40.95 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40.96 4 A 4 4 to 4 4 4 4 4 4 4 4 4 40.98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 41.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-44

Page 65: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

SAMPLE S17E REQUIRED TO ACCEPT LOT WITH PROPABILITY OF AT MUST 8 la)~r LOT SIZE s 60ACCEPTANCE N~UMBER a 0

NOr% E

1E40N. PCT. PROBABILITY OF ACCEPTANCE I OR PafiFF. DEF. .01 *025 .05 .10 *20 o30 .40 .50 *60 970 .80 *90 .95 .975 .999

1 0.02 60 59 5e 5549 433731 2519 13 7 4 2 17 0003 54 51 47 41 3 27 22 1814 10 7 4 2 11 ').05 47 42 18 32 25 20 16 13 10 7 5 3 2 1 14 0.607 40 36 31 2620 1612 10 8 5 4 2 1 1 15 0.00 35 31 27 221613 10 8 6 4 3 2 1 1 156 0.10 31 27 23 19 14 11 9 7 5 4 3 2 1 1 1 5

7 0912 28 24 20 16 12 9 7 6 5 3 2 1 1 1 1 18 0.13 25 21 18 15 11 8 7 5 4 3 2 1 1 1 1 6

9 0.15 23 19 16 13 10 7 6 5 4. 3 2 1 1 1 110 0.17 21 18 15 12 9 7 5 4 3 2 2 1 1 1 1ii 0.18 19 16 14 11 8 6 5 4 3 2 2 1 1 1 1

El? M020 ii is 12 10 7 6 4 4 1 2 ? I 1 1 I13 0.22 17 14 12 9 7 5 4 3 3 2 1 i 1 1 1140.o23 15 13 11 9 6 5 4 3 2 2 1 1 1 1 115 0.25 14 12 10 8 6 5 4 3 2 2 1 1 1 1 116 0.0?'? 14 11 9 7 5 4 3 3 ? 2 1 1 1 *? 117 0.28 .13 11 9 7 5 4 3 3 2 2 1 1 1 1 1L 18 0.01C 1? 10 8 7 5 4 3 2 2 2 1 1 1 1 1i9 0.3? 1i 9 8 6 5 4 3 2 2 1 1 1 1 1 120 0.33 11 9 7 6 4 3 3 2, 2 1 1 1 1 1 121 0639, 10 8 7 6 4 3 3 2 2 1 1 1 1 1 13 22 0.37 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1

~23 0.38 9 a 6 5 4 3 2 2 2 1 1 1 1 1 124 0.40 9 7 6 5 4 3 2 2 2 1 1 1 1 1 175 0.42 9 7 6 5 3 3 2 2 1 1 1 1 1 1 1

0. O4l q 7 6 4 3 3 2 2 1 1 1 1 1 1 1?7 0.45 9 6 5 4 3 2 2 2 i 1 1 1 1 1 1

28 0.47 7 6 5 4 3 2 2 2 1 1 1 1 1 1 129 0.48 7 6 5 4 3 2 2 2 1 1 : 1 1 1 1

-n 000 7 6 5 4 3 2 2 2 1 1 1 1 1 1 11 o2 6 5 4 4 3 2 2 1 1 1 1 1 1 1 1

C4.O85 5 4 2 2 2 1 1 1 1 1 11 1 1145 0.58 5 5 4 3 2 2 2 1 1 1 1 1 1 1 116 0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1I 7 0.62 5 4 4 3 2 2 1 1 1 1 1 1 1 1 119 0.63 mi 4 3 3 2 2 1 1 1 1 1 1 1 1 139 0065 5 4 3 3 7 2 1 1 1 1 1 1 1 1 1

4m A*67 4 4 12 1 1 1 1 1'1 0.68 4 4 3 7 2 2 1 I 1 1 1 1 1 1 1

42 0.70 4 3 3 2 2 2 1 1 1 1 1 1 1 1 14 3 Col? 4 3 3 2 2 1 1 1 1 1 1 1 1 1 144 0.73 Is 3 3 2 2 1 1 1 1 1 1 1 1 1 1

4 M07 It 3t 2 2 7

so 0.93 1 3 2 2 1 1 1 1 1 1 1 j 1 1

Page 66: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

IT

NAFI TR-50 4

LMT SIZE 60A"CEPTANCF NlJmp a 0

0, PCT, PROBABILITY OF ACCEPTANCE I (OREF. DEF. .01 .025 .05 .10 o20 *30 .40 *.0 960 *70 80 .90 .95 o975 o99

"1 0.85 3 2 2 2 1 1 1 1 1 1 1 1 1 1 10.87 3 2 2 2 1 1 1 N 1 1 1 1 1 1 1

"'5 0.88 3 2 2 2 1 1 1 1 1 1 1 1 1 15. 0.92 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1-5. 0.92 2 2 2 2 1 1 1 1 1 1 1 1 1 1 156 0.93 7 2 2 1 1 1 1 1 1 1 1 1 1 1 .57 0.95 2 2 2 1 1 1 1 1 1 1 1 1 1 1 158 0.97 ? 2 1 1 1 1 1 1 1 1 1 1 1 1 1

60 1.00 0 1 1 1 1 1.1 1 1 1 1 1 1 1 1

A.Ielm

Page 67: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pal

LVT SIZE 60ACCEPTAINCE NUMBER a,

1406DEF.

NO* PCT, PROBABILITY OF ACCEPTANCE (OR Paf)FF' DEF. o01 .*5 .05 .10 *20 930 s40 .50 .60 .70 .80 .90 .95 .975 .99 si

1 0,02 SA14ALING PI.AN NOT APPLICABLE ACCEPT THE LOT 532 0.03 59 ,9 59 57 54 51 47 43 39 34 28 20 14 1) ? 543 0.05 56 54 52 48 43 39 34 31 27 22 18 13 9 7 5 55

0*O1 46 43 19 35 ?9 25 22 1916 14 11 8 5 4 35

6 0.10 42 38 14 30 25 22 19 16 14 11 9 6 5 4 3 587 0.12 3, 34 31 27 ?2 19 16 14 12 10 8 6 4 3 2 598 0.13 34 31 28 24 20 17 14 12 11 9 7 5 4 3 2 609 0.15 31 28 25 22 I8 15 13 11 9 8 6 4 3 3 2

10 0.17 29 26 23 2C 16 14 32 10 9 7 6 4 3 2 2S11 0.18 27 24 ?1 18 75 12 11 9 8 6 5 4 3 2 212 O.20 25 22 19 17 13 11 10 8 7 6 5 4 3 2 213 0.22 2 20 18 15 12 11 9 8 7 6 4 3 3 2 214 0.23 2? 19 17 14 12 10 8 7 6 5 4 3 2 2 215 0.o2 20 18 .6 13 !1 9 8 7 6 5 4 3 2 2 216 0.27 19 17 15 13 10 9 7 6 5 5 4 3 2 2 217 0.*2 18 16 14 12 10 8 7 6 5 4 4 3 2 2 218 0.30 17 1S 13 11 9 8 7 6 5 4 3 3 2 2 219 0.32 16 14 12 11 9 7 5 5 4 3 3 2 2 220 0.33 15 13 12 10 8 7 5 4 4 3 2 2 2 2?1 0.35 15 13 '1 10 7 6 5 4 4 3 2 2 2 222 0.03 14 12 11 9 8 f 6 5 5 4 3 3 2 2 2 223 O.38 11 12 10 9 7 6 5 5 4 3 3 2 2 2 224 0.40 13 11 10 8 7 6 5 4 4 3 3 2 2 2 228 O242 1? 11 9 8 6 5 5 4 4 3 3 2 2 2 2

26 0.43 12 10 9 8 6 5 5 4 4 3 3 2 2 2 227 0.45 1 i 10 9 7 6 4 4 3 3 3 2 2 2 228 0.4 1' 9 8 7 6 5 4 4 3 3 2 2 2 2F 29 0.48 10 9 8 7 5 5 4 4 3 3 2 2 2 2 230 (.5Os 10() 9 8 6 5 5 4 4 3 3 ? 2 2 2 231 0,52 9 8 7 6 5 4 4 3 3 3 2 2 2 2 232 0.53 9 8 7 6 5 4 4 3 3 3 2 2 2 233 0.55 9 a 7 6 5 4 4 3 3 3 2 2 2 234 0.57 a 7 6 6 5 4 3 3 3 2 2 2 2 2 235 o0.8 P 7 6 5 4 4 303 3 2 2 2 2 2 236 0.60 8 7 6 5 4 4 3 3 3 2 2 2 2 2 237 0.62 0 7 6 5 4 4 3 3 3 2 2 2 2 2 238 0.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2

39 0.65 6 5 5 4 3 3 3 2 2 2 2 2 2 240 0.67 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2

42 0.70 6 6 5 4 4 3 3 3 2 2 2 2 2 243 0.72 6 5 5 41 3 3 3 2 2 2 2 2 2 2 2

4 0.73 ft 5 5 4 3 3 3 2 2 2 2 2 2 2 245 0.75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 246 0.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 247 0.78 5 5 4 4 3 3 2 1 2 7 2 248 0.80 5 4 4 3 3 3 2 2 7 2 2

19 0.8? 5 4 4 3 3 3 71 7 2 2 c%2 7 2 2so 0.83 5 4 4 3 3 3 2 2 17- 2 2 2 2

A- 117

Page 68: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR- 504

LOT SIZE " 60A"CEPTANCF NUMBER a 1

PCT. PROBABILITY 0O ACCEPTANCF 0 (OR PDEF. .01 .025 .05 .10 .20 .30 .40 .50 o60 .70 o80 *90 .95 .975 .99

0.85 4 4 4 3 3 2 2 2 2 2 2 2 2 2 20o87 4 3 3 1 2 2 2 2 2 2 2 2 2 20.8 4 3 3 3 2 2 2 2 2 2 2 2 2 2

0.90 A 3 3 3 2 2 2 2 2 2 2 2 2 2 20.92 4 3 3 3 2 2 2 2 2 2 2 2 2 2 20.93 1 3 3 3 2 2 2 2 2 2 2 2 2 2 20.95 3 3 3 2 2 2 2 2 2 2 2 2 2 2 20.97 3 2 3 2 2 2 2 2 2 2 2 2 2 2 20098 2 2 2 2 2 2 2 2 2 2 2 2 2 2 21.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2

Page 69: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-50~4I

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST I OR Pa

V LOT SIZE:- 60ArCEPTANCE NUMBFR 2 NC

DE

NO. PCT, PROBABILITY OF ACCEPTANCE B (OR P )af)EF, DEF. .01 e025 .05 .10 e20 o30 .40 .50 .60 s70 o80 o90 ,15 o975 .99

1 0:02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT I2 0,03 SAMPLING PLAN NO! APPLICABLE - ACCEPT THE LOT3 0.05 e5 58 58 ,8 56 54 51 48 45 41 36 29 23 19 144 0.07 57 56 54 52 48 44 41 37 34 30 26 20 16 13 10P77 5s 008 53 ,51 48 45 41 37 14 31 27 24 20 16 15 10 86 0.10 49 46 43 40 35 32 29 26 23 20 17 13 10 8 67 0.12 45 42 39 35 3! 28 25 22 20 17 15 11 9 7 6

S 8 0.13 41 38 35 32 28 25 22 20 17 15 13 10 8 6 59 0.15 38 35 32 29 25 22 20 18 16 14 11 9 7 6 5

10 0.17 35 32 30 26 23 20 18 16 14 12 10 8 6 5 411 0.18 31 30 27 24 2! 18 16 14 13 11 9 7 6 5 412 0.20 31 28 25 22 1q 17 15 13 12 10 9 7 6 5 473 0.22 29 26 24 21 18 16 14 12 11 10 8 6 5 4 4[ 14 0&23 27 24 22 19 17 15 13 11 10 9 8 6 5 4 315 1ý0.5 25 2 ?1 18 1 14 12 11 8 7 6 516 0.27 2' 21 19 17 15 13 11 10 9 8 7 5 4 4 3

'17 0.28 23 20 18 16 14 12 11 10 8 7 6 5 4 4 318 0.32 21 19 17 15 11 11 10 9 8 7 6 5 4 4 319 0.32 20 18 16 14 12 11 10 9 8 7 6 5 4 3 320 0.33 19 17 16 14 12 10 9 8 7 6 5 4 4 3 321 0.35 18 16 15 13 1! 10 9 8 7 6 5 4 4 3 322 0.37 18 16 14 12 11 9 8 7 7 6 5 4- 4 3 323 0.08 17 15 14 12 10 9 8 7 6 6 5 4 3 3 324 .40 16 14 13 11 10 9 8 7 6 5 5 4 3 3 3( 25 ,.42 15 14 17 118 7 6 5 5 4 3 3 3

26 .o43 15 13 1? 10 9 8 7 6 6 5 4 4 3 3 3"27 0.45 14 13 11 ,0 9 8 7 6 5 5 4 4 3 3 328 0.47 14 12 11 i0 8 7 7 6 5 5 4 4 3 3 31,?9 0.48 13 1? 11 9 8 7 6 6 5 5 4 3 3 3 330 0.50 13 I1 10 9 8 7 6 6 5 4 4 3 3 3 33- 0.52 12 11 10 9 7 7 6 5 5 4 4 3 3 3 33. 0.53 12 10 9 8 7 6 6 5 5 4 4 3 3 3 333 0.55 11 10 9 8 7 6 6 5 5 4 4 3 3 3 I3

0.57 11 10 o3 8 7 6 5 5 4 4 4 3 3 3 335 0.58 10 9 8 7 6 6 5 5 4 4 4 3 3 3 336 0.60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 3t- 37 0,62 10 9 8 7 6 5 5 4 4. 4 3 3 3 3 3

38 0.63 9 8 8 7 6 5 5 4 4 4 3 3 3 3 339 0.65 9 8 7 7 6 5 5 4 4 4 3 3 3 3 I40 0.67 9 8 7 6 6 5 5 4 4 4 3 3 3 3 34' 0768 8 8 7 6 5 5 4 4 4 3 3 3 3 3 342 0.70 p 7 7- 6 5 5 4 4 4 3 3 3 3 3 3

• 43 0,72 8 7 6 6 5 5 4 4 4 3 3 3 3 3 344 0.73 8 7 6 6 5 4 4 4 4 3 3 3 3 3 345 005• 7 7 6 5 5 4 4 4 3 3 3 3 3 3 346 O,07 7 7 6 5 5 4 4 4 3 3 3 3 3 3 347 0.'18 7 6 A 5 5 4 4 4 3 3 3 3 3 3 3 I

48 0.80 7 6 55 i 4 4 3 3 3 3 3 3 3 349 082 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3j 50 0983 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3

A-49

Page 70: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LMVT 517F 60ArCEPTANCE NUMBER a 2

400 PCT* PROBABILITY OF ACCEPTANCE 0, (OR)EFo DEF. .01 9025 .05 .10 *20 #30 .40 .50 .60 970 *80 .901.95 .975 099

51 0.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 352 0.87 6 5- 5 4 4 4 3 3 3 3 3 3 3 3 353 0.88 5 5 5 4 4 4 3 3 3 3 3 3 3 3 354 0.90 5 5 4 4 4 3 3 3 3 3 3 1 3 3 355 0.92 5 5 4 4 4 3 3 3 3 3 3 3 3 3 356 0.93 5 4 4' 4 3 3 3 3 3 3 3 3 3 3 357 0. 95 4 4 4 4 3 3 3 3 3 3 3 3 3 3 358 0.97 3 3 3 3- 3 3 3 3 3 3 3 3 3 3 359 0.98 3 3 3, 3 3 3 3 3 3 3 3 3 3 3 360 1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A-50

Page 71: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI CR.5o4

SAMPLE SIE REQUIRED TO ACCEPr LOT WITH A PROBABILITY OF AT MOST 0 (ORPa

LOT SIZE = 60ACCEPTANCE NUMBER a 3

NO

- 1m- NO. PCT, PROBABILITY OF ACCEPTANCE 0 (OR Pa)OFF. DEF. .01 .025 .05 .10 .20 .30 .40 .50 .60 .70 8e0 .90 .95 .975 .99

* 1 0.02 SAMPLING PLAN NOT APPLICABLE- ACCEPT THF LOT 52 0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 53 0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 5I 0.07 57 57 57 57 057 56 53 51 49 45 41 35 30 25 21 515 0.08 56 56 56 53 50 47 45 42 39 36 32 26 22 18 is 56 0.10 55 53 51 48 44 41 38 35 32 29 26 21 18 15 127 0.12 51 48 46 43 39 36 33 31 28 25 2Z 18 15 13 10 5198 013 47 45 42 39 35 32 29 27 24 22 19 16 13 11 9 6.9 0.15 44 41 39 36 32 29 26 24 22 20 17 14 12 10 810 0.17 41 38 36 33 29 26 24 22 20 18 15 12 10 9 71 11 0.18 38 35 3? 30 26 24 22 20 18 16 14 11 10 8 7

12 0.20 36 33 3128 24 22 20 18 16 15 13 10 9 8 613 0.22 34 31 29 26 23 20 19 17 15 14 12 10 8 7 6I 14 0.23 32 29 27 24 21 19 17 16 14 13 11 9 8 7 6!!5 0.25 30 27 25 23 20 18 16 15 13 12 10 9 7 6 516 0.27 28 26 24 21 19 17 15 14 12 11 10 8 7 6 517 0.28 27 24 22 20 18 16 14 13 12 11 9 8 7 6 518 0.30 25 23 2] 19 17 15 14 12 11 10 9 7 6 5 519 0.32 24 22 20 18 16 14 13 12 11 10 8 7 6 5 520 0.33 23 21 19 17 15 13 12 11 10 9 8 7 6 5 5t1 0.35 22 20 18 16 14 13 12 11 10 9 8 6 6 5 43 22 0.37 21 19 17 16 14 12 11 10 9 8 7 6 5 5 423 0.38 20 18 17 15 13 12 11 10 9 8 7 6 5 5 424 0.40 19 17 16 14 12 11 10 9 8 8 7 6 5. 5 4S 25 0.42 18 17 15 14 12 11 10 9 8 7 7 6 5 4 426 0.43 18 16 15 13 11 10 9 9 8 7 6 5 5 4 427 0.45 17 15 14 13 11 10 9 p 8 7 6 5 5 4 428 0.47 16 15 14 12 11 10 9 8 7 7 6 5 5 4 4S 29 0.48 16 14 13 12 10 9 8 8 7 6 c 5 5 4 430 0.50 15 14 13 1i 1C 9 a a 7 6 6 5 5 4 431 0.52 15 13 12 11 10 9 8 7 7 6 6 5 4 4 43? 0.53 14 13 12 11 9 3 8 7 6 6 t 5 4 4 4i33 0.55 14 12 11 10 9 8 7 7 6 6 5 5 4 4 434 0.57 13 12 11 10 9 8 7 7 6 6 5 5 4 4, 435 0.58 13 11 1I 10 8 8 7 6 6 6 5 4 4 4 436 0.60 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4S 37 C.62 12 11 10 9 8 7 7 6 6 5 5 4 4 4 438 0.63 11 10 10 9 8 7 6 6 6 5 5 4 4 4 439 0.65 11 10 9 8 7 7 6 6 5 5 5 4 4 4 440 0.67 1i 10 9 8 7 1 6 6 5 5 5 4 4 ,44] 0.68 10 9 9 8 7 6 6 6 5 5 4 4 4 4 442 0.70 10 9 8 8 7 6 6 5 5 5 4 4 4 443 0.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 4 144 ,6 0.73 9 9 8 7 6 6 6 5 5 5 4 4 4 4 445 0.75 9 8 8 7 6 6 5 5 5 4 4 4 4 446 0.77 9 8 7 7 6 6 5 5 5 4 4 4 4 4 4 347 0.78 8 8 7 7 6 5 5 5 5 4 4 4 4 4 448 0.80 8 7 7 6 6 5 5 5 5 4 4 4 4 4 449 0.82 8 7 7 6 6 5 5 5 4 4 4 4 4 4 450 0,83 8 7 7 6 5 5 5 5 4 4 4 4 4 4 4

A-51

I i., --

Page 72: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

LOT SIZF 60A(("EPrANCF NUMFP = 3

)O, PCT. PROBABILITY OF ACCEPTANCE 8 (OR P )EF. DEF. .01 ,025 .05 .10 *20 *3C *40 o50 *60 .70 ,80 09 0 .95 -975 *99

51 0.85 7 7 6 6 5 5 5 4 4 4 4 4 4 4 452 0.87 7 7 6 6 5 5 5 4 4 4 4 4 4 4 453 0.88 7 6 6 5 5 5 4 4 4 4 4 4 4 4 454 0.90 7 6 6 5 5 5 4 4 4 4 4 4 4 4 455 0.92 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 -

56 0.93 5 5 5 5 5 4 4 4 4 4 4 4 4 4 457 0.95 4 4 4 4 4 4 4 4 4 4 4 4 4 4 458 0.97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 459 0098 4 4 4 4 4 4 4 4 4 4 4 4 4 4 460 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-52

Page 73: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

lNAFI TR-5o4

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa

LOT SIZE a 65ACCEPTANCE NUMBER a 0

NO.

NO, PCT, PROBABILITY OF ACCEPTANCF 0 (OR

rEF. DEF. .01 *025 .05 .10 920 .30 .40 .50 .60 .70 .80 *90 .95 .975 .99 r1

1 0.02 65 64 62 59 53 46 40 33 27 20 14 7 4 2 1 532 0.03 59 55 51 45 36 30 24 19 15 11 7 4 2 1 1 543 0.05 51 46 41 35 27 22 17 14 11 8 5 3 2 1 1 554 0.06 44 39 34 28 2 17 13 11 8 6 4 2 1 1 1 565 0.08 38 33 29 2418S14 11 9 7 5 3 2 1 1 1 576 0.09 34 29 25 20 15 12 9 7 6 4 3 2 1 1 1 587 0.11 30 26 22 18 13 10 8 6 5 4 2 1 1 1 1 598 0.12 27 23 20 16 12 9 7 6 4 3 2 1 1 1 1 609 0.14 25 21 18 14 10 8 6 5 4 3 2 1 1 1 1 61

10 0.15 23 19 16 13 9 7 6 5 4 3 2 1 1 1 1 6211 0.17 21 18 15 12 9 7 5 4 3 2 2 1 1 1 1 6312 0.18 19 16 14 11 8 6 5 4 3 2 2 1 1 1 1 6413 0.20 18 15 13 10 7 6 4 4 3 2 2 1 1 1 1 65ý14 0.22 17 14 12 9 7 5 4 3 3 2 1 1 1 1 115 0.23 16 13 11 9 6 5 4 3 2 2 1 1 1 1 116 0.25 15 12 10 8 6 5 4 3 2 2 1 1 1 1 117 0.26 14 12 10 8 6 4 3 3 2 2 1 1 1 1 1S 18' 0.28 13 11 9 7 5 4 3 3 2 2 1 1 1 1 119 0.29 12 10 9 7 5 4 3 2 2 2 1 1 1 1 120 0.31 12 10 8 6 5 4 3 2 2 1 1 1 1 1 121 0.32 11 9 8 6 5 4 3 2 2 1 1 1 1 1 122 0.34 11 9 7 6 4 3 3 2 2 1 1 1 1 1 123 0.35 10 8 7 6 4 3 3 2 2 1 1 1 1 1 124 0.37 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1S 25 0.38 9 8 6 5 4 3 2 2 2 1 1 1 1 1 126 0.40 9 7 6 5 4 3 2 2 2 1 1 1 1 1 127 0.42 8 7 6 5 3 3 2 2 1 1 1 1 1 -1 128 0.,43 8 7 6 4 3 3 2 2 1 1 1 1 1 1 129 0.45 1 6 5 4 3 3 2 2 1 1 1 1 1 130 0.46 7 6 5 4 3 2 2 2 1 1 1 1 1 171 0.48 7 6 5 4 3 2 2 2 1 1 1 1 1 1 132 0.19 7 6 5 4 3 2 2 2 1 1 1 1 1 133 0.45 7 5 5 4 3 2 2 1 1 1 1 1 1 134 0.52 6 5 4 4 3 2 2 1 1 1 1 1 1 135 0.54 6 5 4 3 3 2 2 1 1 1 1 1 1 136 0.55 6 5 4 3 2 2 2 1 1 1 1 1 1 137 0.57 6 5 4 3 2 2 2 1 1 1 1 1 1 138 0 58 5 5 4 3 2 2 2 1 1 1 1 1 1 1039 0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 1

40 0962 ý5 4 4 3 2 2 1 1 1 1 1 1 1 141 0.65 5 4 3 3 2 2 1 1 1 1 1 1 1 1

43 0.66 5 4 3 3 2 2 1 1 1 1 1 1 1 144 0.68 4 4 3 3 2 2 1 1 1 1 1 1 1 1 445 0.69 4 4 3 2 2 2 1 1 1 1 1 1 1 1 146 0.71 4 ? i 2 2 1 1 1 1 1 1 1 1 147 0.72 4 3 3 2 2 1 1 1 1 1 1 1 1 1 148 0.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 149 0.75 4 3 3 2 2 1 1 1 1 1 1 1 1 1 150 0.77 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1

A-53

Page 74: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NITAI TR-504

LOT SIZE x 65ArCEPTANCF NUMAER x 0

PCT. PROBABILITY OF ACCEPTANCE 0 (OR PaDEF. .01 s025 *05 .10 ,20 .30 ,40 .50 .60 .70 .80 .90 .95 .975 .99

0.78 3 3 2 2 2 1 1 1 1 1 1 1 1 I 10.82 3 3 2 2 1 1 1 1 1 1 1 1 1 1 10.83 3 3 2 2 1 1 . 1 1 1 1 1 -1 1 10.85 3 2 2 2 1 1 11 1 1 1 1 10.86 3 2 2 2 1 1 1 1 1 1 1 1 1 1

0.88 3 2 2 2 1 1 1 1 1 1 1 1 1 1 10.89 3 ? 2 2 1 1 1 1 1 I 1 1 1 1 1n.91 2 ? 2 1 1 1 1 1 1 1 1 1 1 10.92 2 2 2 1 1 1 1 1 1 1 1 1 1 1 10,94 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 I0.95 2 2 1 1 1 1 1 1 1 1 1 1 1 1 10.97 2 2 1 1 1 1 1 1 1 1 1 1 1 1 10098 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1

A- 54

Page 75: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SAMPLE SIZE REQUIRED 1•, ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa)

LOT SIZE = 65ACCEPTANCF NUMSER 1 1 NO.

DEF

I NO. PCT. PROBABILITY OF ACCEPTANCE ( (OR P ) 51f)F r DEF. .01 .025 .05 .10 o20 .30 .40 .50 o60 .70 .80 .90 .95 .975 .99 52

* I0753S1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 1 54

7-2 0.03 64 64 64 62 59 55 51 t' 44' 36 30 21 15 11 7 553 0.05 61 59 56 52 47-42 37 3-4 29 24 19 14 10 7 564 .06 5652 49443833292522181410 7 5 4575 .0#08 50 46 42 38 32 28 24 21 18 15 12 8 6 4 3 586 0.09 45 41 37 33 27 24 20 19 15 12 10 7 5 4 3 597. 0.11 41 37 33 29 24 20 18 15 13 11 8 6 4 3 2 I 608 0.12 37 33 30 26 21 18 16 13 11 9 7 5 4 3 2 ! 619 0,14 34 30 27 23 19 16 14 12 10 8 7 5 4 3 2 62

10 0.15 31 28 25 21 17 15 13 11 9 8 6 4 3 3 2 63II 0.17 29 26 23 20 16 13 12 -10 8 7 6 4 3 2 2 I 6412 0.18 27 24 21 18 15 12 11 9 8 6 5 4 3 2 2 6513 0.20 25 22 20 17 14 11 10 8 7 6 5 4 3 2 214 0.22 24 21 18 16 13 11 9 8 7 6 4 3 3 215 0.23 22 19 17 15 12 10 9 7 6 5 4 3 2 2 216 0.25 21 18 16 14 11 9 8 7 6 5 4 3 2 2 217 0.26 20 17 15 13 10 9 8 7 6 5 4 3 2 2 218 0.28. 19 16 14 12 10 8 7 6 5 4 4 3 2 2 219 0.29 18 15 14 12 9 8 7 6 5 4 3 3 2 2 220ý 0.31 17 15 13 11 9 7 6 6 5 4 3 3 2 2 221 0.32 16 14 12 10 8 7 6 5 5 4. 3 2 2 2 2U 22 0.34 15 13 12 10 8 7 6 5 4 4 3 2 2 2 223 0.35 15 13 11 9 8 7 6 5 4 4 3 2 2 2 224 0.37 14 12 11 9 7 6 5 5 4 3 3 2 2 2 225 0.38 13 12 10 9 7 6 5 4 4 3 3 2 2 2 226 0.40 13 11 10 8 7 6 5 14 4 3 3 2 2 2 227 0.4? 12 11 9 8 6 6 5 A 4 3 3 2 2 2 228 0.43 12 10 9 8 6 5 5 4 4 3 3 2 2 2 229 0.45 11 10 9 7 6 5 4 4 3 3 3 2 2 2 2 I30 0.46 11 9 8 7 6 5 4 4 3 3 2 2 2 2 231 0.48 10 9 8 7 6 5 4 4 3 3 2 2 2 2 I

S33 0.51 10 8 7 6 5 4 4 3 3 3 2 2 2 234 O.52 9 8 7 6 5 4 4 3 3 13 2 2 2 2 235 0.54 9 8 7 6 5 4 4 3 3 3 2 2 2 236 0.55 9 a 7 6 5 4 4 3 3 2 2 2 2 2 237 0.57 8 7 6 6 5 4 3 3 3 2 2 2 2 2 238 0.58 8 7 6 5 4 4 3 3 3 2 2 2 2 2 239 0.86 8 7 6 5 4 4 3 ? 3 2 2 2 2 2 294 0.62 8 7 6 5 4 4 3 3 3 2 2 2 2 2 2 .

41 0.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 242 0.65 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2I 3 0.66 7 6 5 5 4 3 3 3 2 2 2 2 2 2 244 0.68 7 6 5 4 4 3 3 3 2 2 2 2 2 2 245 0.69 6 6 5 4 4 3 3 3 2 2 2 2 2 2 246 0.67 6 5 5 4 4 3 3 2 2 2 2 2 2 247 0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 248 0.74 6 5 5 4 3 3 3 2 2 2 2 2 2 2 249 0.75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2

8 0.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2

A-55

Page 76: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI 'iR-504

LOT SIZE 65A(CEPTANCF NUMBER 1

* PCTo PROBABILITY OF ACCEPTANCE ( (OR Pa IF. DEF. .01 o025 .05 .10 *20 *30 .40 o50 960 .70 .80 a 9 0 *95 o975 ,99

0.78 5 5 4 4 3 3 2 2 2 2 2 2 2 22 0.80 5 4 4 3 3 3 2 2 2 2 2 2 7 2 ?3 0.82 5 4 4 3 3 3 2 2 2 2 2 2 2 2 24 0.83 5 4 4 3 3 3 2 2 2 2 2 2 2 2 25 0.85 5 4 4 3 3 2 2 2 2 2 2 2 2 2 25 0.986 4 4 3 3 3 2 2 2 2 2 2 2 2 2 27 0.88 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2

0.89 4 4 3 3 3 2 2 2 2 2 2 2 2 2 20.91 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

D 0*92 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2I1 0.94 1 3 3 3 2 2 2 2 2 2 2 2 2 2 2? 0.95 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2

0.97 3 3 3 2 2 2 2 2 2 2 2 2 2 2 20.98 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

11ift

AII

A- 56

Page 77: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAF1 TR- 504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST • (OR Pa

LOT SIZE * 65ACCEPTANCE NUMBER a 2

NO.flEF.

m NO. PCT. PROBABILITY OF ACCEPTANCE 8 (OR P ) +

•Fg, DEF. .01 .025 ,05 .10 .20 .30 .40 .50 *60 .70 .80 .90 .95 .975 .99 515?

1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 532 003 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 5463 5853 0005 63 63 63 61 61 58 55 52 49 44 39 31 25 20 15 5

0.06 62 61 59 56 52 4F 44 41 37 33 28 22 17 14 10 565 0.08 5@ 55 53 49 44 40 36 33 30 26 22 17 13 1 8 576 0.09 53 50 47 43 38 34 31 28 25 22 18 14 11 9 587 0.11 49 45 42 38 34 30 27 24 21 19 16 12 10 8 6 * 598 0.12 45 41 38 35 30 27 24 21 19 16 14 11 8 7 5 609 0.14 41 38 35 31 27 24 21 19 17 15 12 9 8 6 5 61

10 0.15 38 35 32 29 25 22 19 17 15 13 11 9 7 6 4 6211I 0.17 36 32 30 26 22 20 18 16 14 12 10 8 6 5 4 6312 0.18 31 30 27 24 21 I8 16 14 13 11 9 7 6 5 4 6413 0.20 31 28 26 23 19 17 15 13 12 10 9 7 5 5 4 6514 0.22 29 26 24 21 18 16 14 12 11 10 8 6 5 4 415 0.23 28 25 22 20 17 15 13 12 10 q 8 6 5 4 3 I1-6 0.25 26 23 21 19 16 14 12 11 10

17 o .26 25 22 20 18 15 13 12 10 9 8 7 5 4 4 318 0.28 23 21 19 17 14 12 11 10 9 8 6 5 4 4 319 0.29 22 20 18 16 13 12 10 9 8 7 6 5 4 4 320 0.31 2! 19 17 15 13 11 10 9 8 7 6 5 4 , 321 0.32 20 18 16 14 12 11 9 8 7 7 6 5 4 322 0.34 19 17 15 14 11 10 9 8 7 6 5 4 4 3 I23 0.35 18 16 15 13 11 10 9 p 7 6 5 4 4 3 324 0.37 18 16 14 12 11 9 8 7 7 6 5 4 4 3 325 0.38 1' 15 14 12 10 9 8 7 6 6 5 4 3 1 326 0.40 16 14 13 11 10 9 8 7 6 5 5 4 3 3 327 0.42 16 14 !2 11 9 8 7 7 6 5 5 4 3 3 328 0.43 15 13 12 11 9 8 7 6 6 5 4 4 3 ? 329 0.45 14 13 12 10 9 8 7 6 6 r, 4 4 3 3 330 0.46 14 12 11 10 8 7 7 6 5 5 4 4 3 3 331 0.48 13 12 11 9 8 7 6 6 5 5 4 3 3 3 332 0.49 13 11 10 9 8 7 6 6 5 5 4 3 3 3 3 133 0.51 1? 11 10 9 8 7 6 5 5 4 4 3 3 3 334 0.52 12 11 10 9 7 6 6 5 5 4 4 3 3 3 335 0.54 12 10 9 8 7 6 6 5 5 4 4 3 3 3 3F 36 0.55 11 10 9 8 7 6 5 5 5 4 4 3 3 3 3S 37 0*57 11 10 9 8 7 6 5 S. 4 4 4 3 3 3 338 0.57 10 9 8 7 6 6 5 5 4 4 4 3 3 3 339 0.60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 3

"40 0.62 10 9 8 7 6 5 5 5 4 4 3 3 3 3 3 I42 0.65 9 8 8 7 6 5 5 4 4 4 3 3 3 3 343 0.66 9 8 7 6 6 5 5 4 4 4 3 3 3 3 3

43 0.66 9 8 7 6 6 5 5 4 4 43 3 3 3 3 3, 44 0.68 9 8 7 6 5 5 4 4 4 3 3 3 3 3 I45 0.69 8 7 7 6 5 5 4 4 4 3 3 3 3 3 346 0.71 t 7 7 6 5 5 4 4 4 3 3 3 3 3 347 0.7? 8 7 6 6 5 5 4 lfý 3 3 3 ? 3 348 0.74 8 7 6 6 5 4 4 . 3 3 3 3 3 349 0.75 7 7 6 5 5 4 4 3 3 3 3 3

50 0.77 7 6 6 5 5 4 4 4 3 3 3 3 3 ?

A-57

S- +

Page 78: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

4

LnT SIZE = 65ArCEPTANCF NUMBER = 2

PCTo PROBABILITY OF ACCEPTANCE 0 (OR Pa )DEFo .01 .025 o05 .10 o20 .30 .40 .50 o60 o70 .80 .90 .95 .975 .99

0.78 7 6 6 5 5 4 4 4 3 3 3 3 3 30080 u 6 5 4 4 4 3 3 3 3 3 3 3 3

0.82 6 6 5 5 4 4 4 3 3 3 3 3 2 3 30.83 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3

5 0.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 36 0.86 6 5 5 4 4 4 3 3 3 3 3 3 3 3 37 0.88 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3B 0,89 5 5 5 4 4 3 3 3 3 3 3 3 3 3 39 0.91 5 5 4 4 4 3 3 ? 3 3 3 3 3 3 30 0.92 5 5 4 4 4 3 3 3 3 3 3 3 3 3 31 0.94 5 4 4 4 3 3 3 3 3 3 3 3 3 3 32 0.95 4 4 4 4 3 3 3 3 3 3 3 3 3 3 33 0.97 3 3 3 3 3 3 3 3 3 3 3 3 1 3 34 0.98 3 3: 3 3 3 3 3 3 3 3 3 3 . 3 35 •0oc 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A

A-58

Page 79: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( (OR Pa

LMT SIZE. 65A(cEPTANCF NUMBER a I .NO*

"NO. PCT, PROBABILITY OF ACCEPTANCE . (OR Pa)')FFo DEF. .01 *025 .05 .10 .20 .30 .40 .50 o60 o70 .80 .90 .95 .975 .99 5!* I ">

1 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 53

2 0.00 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 54

3 0.05 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 5

4 0.06 62 62 6262 62 6058 5553 49 443993227 22 5- 0.08 61 61 60 58 54 51 48 45 42 38 34 28 24 20 166 0.09 59 57 55 52 48 44 41 38 35 32 28 23 19 16 137 0.11 55 53 50 47 42 39 36 33 30 27 24 19 16 13 11 159

8 0.12 5! 48 46 42 18 35 32 29 76 24 21 17" 14 12 10 60

9 0.14 4R 45 42 39 34. 31 28 26 24 21 18 15 0 961

10 0.15 44 41 39 35 ?1 ?8 26 23 21 19 17 13 11 9 p62

17120.1842 383633 29 2624 ?1 19 17 19 12 10 9 ; 7 6312 0018 39 36 3:3 30 26 24 22 20 I8 16 14 11 9 8 7 6

13 0,20 37 34 31 28 25 22 20 18 16 1 .3 10 9 7 6 6514 0.22 34 32 29 26 23 21 19 17 15 14 12 10 8 7 615 0.23 32 30 27 25 22 19 17 16 14 13 11 9 8 7 616 0.25 3' 28 26 23 20 16 16 15 1? 12 11 9 7 6 517 '1.26 29 27 24 22 19 171 IS 14 13 '!! 10 a 7 A 918 0.28 28 25 23 21 18 16 15 13 12 a 9 8 7 6 519 0.29 26 24 2? 20 17 15 14 13 11 10 9 7 6 6 520 0.31 25 23 21 19 16 15 13 12 11 10 9 7 6 5 5I 11 0.02 24 22 20 18 16 14 13 11 10 9 8 7 6 5 522 0.34 23 21 19 17 25 13 12 11 10 9 8 7 6 5 423 0.35 2? 20 18 16 14 13 i2 10 10 9 8 6 6 5 424 0.37 21 19 17 16 14, 12 11 10 9 8 7 6 5 5 425 0.38 20 18 17 15 13 12 1110 9 8 7 6 5 5 426 0.4 19 18 16 14 17 11 10 9 8 8 7 6 5 5 /A

27 0.42 19 17 15 14 12 11 10 9 8 7 7 6 5 4 4L 8 0.43 18 16 15 13 1? 10 9 9 8 7 6 5 i 4 4, 29 04.4,5 1? 16 14 13 11 10 9 8 8 7 6 5 5 4 430 0.46 17 15 14 12 11 10 9 8 7 7 6 5 5 4 4?1 0.48 16 15 .3 12 10 9 9 8 7 7 6 5 5 4 4

32 0.49 15 14 13 12 10 9 8 8 7 6 6 5 4 4 433 0051 15 14 1? 11 10 9 8 7 7 6 6 5 4 4 434 0.52 14 13 12 11 9 9 F 7 7 6 r5 5 4 4 435 0.54 14 13 1? 10 9 8 8 7 6 6 5 5 4 4 436.O55 14 12 11 10 9 8 7 7 6 6 5 5 4 4 437 0.57 1? 12 11 10 9 8 7 7 6 6 5 5 4 4 438 0.58 13 11 II 10 8 8 7 6 6 5 5 4 4 4 439 0.86 12 11. 10 9 8 7 7 6 6 5 5 4 4 4 434 0.62 12 11 10 9 8 7 7 6 6 5 5 4 4 4 441 0.63 12 10 10 9 8 7 6 6 6 5 5 4 4 4 442 0.65 11 10 9 8 7 7 6 6 5 5 5 4 4 4 443 4 06 lO 1 0 9 8 7 7 6 6 5 5 5 4 4 4 444 0.68 10 9 9 8 7 6 6 8 5 5 4 4 4 4 445 0.69 10 9 9 8 7 6 6 5 5 5 4 4 4 4 446 0.71 10 9 8 8 7 6 6 5 5 5 4 4 4 4 447 0.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 448 0.74 9 8 8 7 6 5 5 5 5 4 4 4 4 449 0.75 9 8 8 7 6 6 5 5 5 4 4 4 4 4 450 0.77 € 8 7 7 6 6 5 5 5 4 4 4 4 4 4

A-59

Page 80: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-.504

LOT SIZE " 65AfCEPTANCF NUMBER a 3

PCT. PROBABILITY OF ACCEPTANCE 0 (OR PafEFO .01 .025 .05 .10 o20 *30 .40 o50 e60 .70 ,eO .90 .95 .975 .99

0.78 8 8 7 7 6 5 5 5 5 4 4 4 4 4 40.80 8 8 7 6 6 5 5 5 5 4 4 4 4 4 40082 8 7 7 6 6 5 5 5 4 4 4 4 4 4 40.83 9 7 7 6 5 5 5 5 4 4 4 4 4 4 40865 7 7 6 6 5 5 5 4 4 4 4 4 4 4 40.86 7 7 6 6 5 5 5 4 4 4 4 4 4 4 40.88 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4089 7 6 6 5 5 5 4 4 4 4 4 4 4 4 40.91 6 6 6 5 5 5 4 4 4 4 4 4 4 40.92 6 6 5 5 5 4 4 4 4 4 4 4 4 4 40.94 5 5 5 5 s 4 4 4 4 4 4 4 4 4 40.95 A 4 4 4 4 4 4 4 4 4 4 4 4 4 40.97 A 4 4 4 4 4 4 4 4 4 4 4 4 4 40.98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 41.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-60

Page 81: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

5AmPLE SI7E REQuIRED 70 ACCEPT.-LOT WITH A PROBABUIiTY OF Ar MOST re(RP

LAT0SZE 7ArCEPANCENU"iBFR 0

Poo"0 PCTo PROBABILITY OF ACCEPTANCE 8 (OR Pa.-o DEF* .01 .025 .05 910 *2 0 .30 .40 950 .60 e70 .80 *90 .95 *975 .99

1E 0.01 70 69 67 64 5750 43 36 29 22 15 8 4 2 12 0.03 62159 '54 48 19 32 26 2116 12 8 4 2 i 13 0.04 55 49 44 3729 23 1915 11 8 5 3 2 1 1 54 0*06 47 42 37 30 2`3 18 15 11 9 6 & 2 1 1 1 r.5 0*C7 41 36 31 26 19 15 12 9- 7 5 1 2 1 1 1 16 0.09 37 31 27 22 16 13 7-0 8 6 4 3 2 1 i I7 i-0.10 33 28 24 19 1' 11 9 7 5 4 3 2 1 1 i8 '611 30 25, 21 17 1s 1I 8D 5 3 2 1 1 1 19 0.13 27 23 19 15 i 1 9 7 5 4 3 2 1 1 1 17

11) 0.14 25 21 17 14 10 8 6 5 4 3 2 1 1 1 1 .S11 0.16 2? 19 16 13 9 7 6 4 3 3 2 1 1 1 1

12 .17 21 18 15 '12 9 7 5l 4 3 2 2 1 1 -1 1-13 0.19 20 16 14 11 8 t 5 4 3 2 2 1 1 1 f1f14 0.20 18 is 13 10 7 6 5 -4 3 2 t 1 I 1 1 f -7-

15 1)0f 1 1 4 12 9 7 5 4 'A 3 2 1 1 1 I i 6j16 0.23 16 13- 11 9 6 -5 4 3 2 2 1 1 1 1 1Il

17 0.24 15 13- 10 8 6 5 4 3 2 2 1 1 1 1 1i 026 14 12 10 8 6 4 4 34 2 2 1 1 1 1

19 027 1& 11 9 7 5, & 3 3 2 2 1 1 1 1 1* 20 0929 13 11 9: 7 5 4 3 3 2 2 1 1 1. 1 1

-o 2 030 1-210 8 7 5 4 3 2 2 2 1 1 1 1 122 0.31 12 le 8 6 5 4 3 2 2 1 1 1 1 1 1

23 0.33i .11 9 8 6 4 3 3 2 2 1 1 1 1 1 124 0.34 1i 9 7 6 4 3 3 2 2 1 1 1 1 1I 25 0*2'6 10 8 7 6 4 3 3 2 2 1 1 1 1 1 1

26 0937 10 f8 7 5 4 3 2 2 ? 1 1 1 1 177 00,21 9 8 6 5 4 3 ? 2 ' 1 1 1 1 1 1

?5 0.40 C 9 7 6 5 4 3 2 2 ? 11 1 1 12 041 9 7 6 5 3 3 2 2 1 1 1 1 1 1 1

F30 0:43 8 7 6 4 3 3 2 2 1 1 1 1 1 1 131 0.44 8 6 5 4 3 3 2 2 1 1 1 1 1 1 .1

0.46 8 6 5 4 3 2 2 2 1 1 1 1 1 1 I3 1 0.47 -7 6 5 4 3 2 2 2 1 1 i I I 1 I

~34 0.49 7 6 5 4 3 2 2 2 1 1 1 1 1 1 135 ),!.C 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1r'0151 7 5 5 4 3 2 2 1 1 1 1 1 1 1 1

17 0.53 6 5 4 3 3 2 2 1 i 1 I 1 I 1 138l C,54 6 5 4 3 3 2 2 1 1 1 1 1 1 1 1

. . 6 5 4 3 2 2 2 1 1 1 1 1 1Oo057 6 ' 4 3 2 2 2 1 1 1 1 1 1 1 1

0.9 5 5 4 3 2 2 2 1 1 1 1 1 1 110 .60 5 4 4 3 2 2 2 1 1 1 1 1 1 1

42 (),61 5 4 4 3 2 2 1 1 1 1 1 1 1 144 '.63 5 4 3 3 2 2 1 1 1 1 1 1 1 1 145 0.64 5 4 3 ? 2 2 1 1. 1 1 1 1 1 1 146 f).66 5 4 3 3 2 2 1 1 1 1 1 1 1 147 C'.67 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1

49 M*7C 4 3 3 2 2 2 1 1 1 1 1 1 1 1 150 r! 71 .4 3 3 2 2 1 1 1 1 1 1 1 1 1 1

A-61

Page 82: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

I

LrAT CIZF ?0 3Af*CEDTANCF NUMP-D 0

Pr!T. PQOBABILITY OF ACCEPTANCE 8 (OR &.1t.IFe .o! o025 .05 .l0 .20 .30 .40 .50 o60 o70 .*0 *90 o95 .975 *99

o7 e 71 Is 2 2 1 1 1 1no; 4 4 3 2 2i

-ý -7 i 1 2 2 1 1 11

3.8 7 2 1 I I I I I I I I ?I-i6 8oen 3 2 2 2 :

".84 75 2 2 7 1 1 1 1 1 1 1 1 1 1."86 3 2 2 2 ] 1 1 1 1

1.•7 3 2 2 2 !1 1 I I I€'f% 08 '2 2 2 1 1 1 1 1 1 1 !

2 2 1 11 1 1 1 1 1 1 191 3 2 2 1 1 l I I 1 1 1 I 1 I I

Pt. I57 f.8• 2 7 2 1 1 I 1 1 1 1 1 1 1 1 1

•,o9 3 3 2 2 1 1 1 1 1 1 1 1 1 i 1

93 3 ] ? 2 2_ 1 1 1 1 1 1 1 1 1 1

I

%86 3* 2 2 2 1 1 -1 1 1 1 1 1 1 i

09 2 2 i

A-62a

.96 2 'I mu mmm rasn 1 in1n1 1

Page 83: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

IIC"m-PLC -17'rF R 1ED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR P

IrIT I?F 70Arf.FPTANCF PfU40FR = I

.PCT, PROBABILITY Or Ar~ePTANCE 8 (OR -a

''F. lDF. .t*1 .025 .05 .10 .20 *30 .40 450 .60 .70 .80 *90 .95 .975 .99

1 0.0! SAMPLING PLAN NOT APPLICABLE - ArCCEPT T4E LOT00?,C.03 69 69 69 67 61 59 55 50 45 39 32 23 17 12 8

- .or E., 6! 61 56 50 45 40 36 31 26 21 15 10 8 3

0.06 60 56 52 49 41 36 31 27 274 0 , 1,1 a 6 4%ý 54-, 5,. 6- 41 , 4, 30 26 27 19 16 12 9 6 5 3 • :f 0009 '9 44 40 35 30 25 22 19 16 13 10 7 5 4 3

Po.i 44 AC 36 '1 16 22 IQ 16 14 11 9 6 5 , 3

I " 'I'1 40 36 32 28 320 17 1 12 10 8 6 3? 2eel '4• 7 .3. 29 25 21 1?15 1_3 13 9 7 5 4

0.14 34 30 27 23 19 16 14 12 13 8 6 5 2 31 .1 f 11 28 ?5 21 17 14 12 11 9 7 6 4 '3 3 ,24

I,? 1 .7 29 26 23 19 16 13 11 10 8 7 5 4 3 2 "

-•.! 27 ?4 2! I8 15 12 11 9 8 6 5 1 3 2 21*.2" ?6 22 21 17 14 11 10 p 7 6 5 4 3 2 ..

!5 24 21 19 16 13 11 9 8 7 6 5 3 3 2 2 k Q"f.• ,21 21 20 17 15 12 10 9 7 72 • '

U' f%-24 21 19 16 14 11 9 -8 7 6 5 4 3 2 2 2I " ".,- 2n 18 16 13 11 9 8 7 6 5 4 3 2 2 2 £

".19 !7 15 3? 10 9 7 6 5 5 I 3 2 2 2%*29 1i 16 14 12 1C 8 7 6 5 4 4 3 2 2 2

'1 0.30 17 15 13 11 9 8 - 6 5 4 3 3 ? 2 ?, " 0.31 17 14 13 11 9 7 6 2 S . "3

o 0.3! 16 1I 12 IC 8 7 6 i" 5 4 3 2 2 2 2?, 0.34 15 1i 12 10 -8 7 6 5 4 4 3 2 2 2 2

i.s6 15 13 1 9 8 6 6 5 4 4 3 2 2 226 C4.3" 14 12 11 9 7 6 5 5 4 3 3 2 2 2 2

.. 9 13 12 1c 9 7 6 5 4 4 3 2 2 22 0.4C0 13 11 10 8 7 6 5 4 4 3 3 2 2 2 2?a 1 2 1I 9 8 7 6 5 4 4 3 3 2 2 2

, n 12 1C 9 p 6 5 5 4 4 3 3 7 7 2 I.1 5.44 11 10 9 ' 6 5 4 4 3 3 3 2 2 2 2

0 .46 11 10 8 7 6 5 4 4 3 3 2 2 2 2 ?"" 0.47 11 9- 8 7 6 5 4 4 3 3 2 2 2 2 234 0.49 10 9 8 7 5 5 4 & 3 3 2 2 2 2 2i5 0.50 10 9 8 6 5 5 4 4 3 3 2 2 2 ? 236 0.51 10 8 7 6 5 4 4 3 3 2 2 2 2 2

7 , 5 -2 9 8 7 6 5 4 4 3 3 3 2 2 2 L. 2 Ii7 0.54 9 8 7 6 5 4 4 3 3 3 2 2 2 2 2" "9 0.46 9 8 7 6 5 4 4 3 3 3 2 2 2 2 2

4C 0957 8 7 6 6 5 4 3 3 3 2 2 2 2 2 2

41 [oS5q 8 7 6 5 4 3 3 3 2 2 2 2 2 214 C.6r 8 7 6 5 4 4 3 3 3 2 2 2 2 2 241 P.61 8 7 6 5 4 4 3 3 3 2 2 2 2 2 2 *44 0 .63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 24I r,64 7 6 6 5 4 3 3 3 2 2 2 2 2 2 246,6 0.66 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2I 7 0.67 7 6 5 5 4 3 3 3 2 2 2 2 2 2 248 0.69 7 6 5 4 4 3 3 3 2 2 2 2 2 2 2 849 0.70 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2

a 0.71 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2

A-63

Page 84: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

L'" CIF 7C.&rC'FPThN,"F NIJM9CQ = ]

PCT. PROBABILITY OF ACCEPTAN('C 8 (OR Pa IDFF. .01 .C25 oC5 .10 .20 .30 .40 .50 .6C .70 .80 a 9 0 .95 o975 o99

,)73 6 • 5 4 3 3 3 2 2 2 2 2 2 2 ,-2ON .74 A C 4 4 'A 3 3 2 2 2 2 2 2 21

76 6 5 3 3 3 2 2 2 2 2 2 2f0l77 5 5 4 " 3 3 3 2 2 2 2 2 2 2 ?r' a 79 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2

.. 5 4 4 3 3 2 2 2 2 2 2 2 2 2I"I.as 5 & , 3 3 3 2 2 2 2 2 2 2 2 2

5ol 3 3 2 2 2 2 2 2 25 9 4 4 i 3A 2 2 2 2 2 2 2 2- 2 23

p.86 L 4 3 " 3 2 " ? 2 2 2 2 2 2 24. 4 " 3 3 2 ? 2 2 2 2 2 2 24.89 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2

(." 4 3 3 2 2 2 2 2 2 2 2 2 2 2I4 3 3 "• 2 2 2 2 2 2 2 2 2 2 24 3 3 3 2 2 2 2 2 2 2 2 2 2 2 -•

c.3 3 2 2 2 2 2 2 2 2 2 2 23 ' 3 7 2 2 2 2 ? 2 2 2 2 2

S 2 ' 2 2 2 7 2 ? 2 2 2?0 2 2 _ 2 2 ? 2

? ?2 ? 22 2 2 2 It 2 2 2 2

A-64

ml m r lm i m • • • mi i mm mmm lm mm lmmnm mlm n l l N am mmI

Page 85: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

5 AF1 lp.-5OA

€'-APLC 17c REOLUIPED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 IOR P )a

LnT SIZE "'rrEP T ANCF NUM9FR = 2

"./•, PCT, PROBABILITY OF ACCEPTANCE B (OR Pa•cr nFF, 0111 ,.n.25 l)5 *In *20D e30 940 e5n o60 ,70) *80 ,90) *95 °-975 eO99 •

1) " 0(!! SAMPLING PLAN NOT APPLICABLE - ACCEPT THF LOTS0.* cAMPLIN#: PLAN NOT APPLICABLE - ArrEPT THE LOT =4C.C4 68 68 68 68 66 63 60 56 52 48 42 34 27 22 16

4 .eO6 67 65 53 60 59 51 47 44 40 35 30 23 19 15 1162 59 57 Sl 47 43 39 16 12 28 24 18 1" 12 9

f. r% 57 54 "1 46 41 17 33 30 27 23 20 15 12 10 77 C.I' 53 49 46 Al 36 32 29 26 23 20 17 13 10 8 6 1 r.

o8 45 15 37 32 29 26 2? ?o0 1 15 11 9 7 60 f,.1 ,5 'aT 18 34 29 26 23 '0 "8 16 13 10 8 7 5 A.

" .14 41 10 35 31 26 23 21 19 16 14 12 9 7 6 5 A'U .16 ?9 35 3? 28 ?4 21 19 17 '5 i3 II 9 7 6 4

,' 33 1 C 26 22 20 17 15 14 12 10 8 6 5 "1. .9 1, .. f.•," 9 24 21- 18 16 14 13 11 9 7 6 5 4

17n 12 29 116 21 _• 7 1 13 1' 10 9 7 5 5

2" 27 'A 21 18 16 14 1' 11 10 8 6 5 4 416 ".2ý 29 25 23 20 17 15 13 12 10 9 8 6 5 4 317 2.2' ?7 24 2? 19 1 14 12 i1 10 9 7 6 5 4

0.26 ?5 23 20 18 15 13 12 10 9 8 7 5 5 4 310 c,,27 24 22 19 17 14 13 11 10 9 8 7 5 4 4 3

"o?0 23 2. 19 16 14 12 1? 9 8 7 6 5 4 4 3P r 1* 7? 2C 13 15 11 11 10 q 8 7 6 5 4 4 3• j2 i 21 19 17 15 12 11 10 9 R 7 6 5 4 3 3

-'3 r'A3 20 19 16 i1 12 10 9 8 7 6 6 4 4 3 34 1. "44 19 17 1.5 13 11 i 9 9 ? 6 5 4 4 3 3"

75 C06 19 16 15 13 11 10 9 8 7 6 5 4 4 3 3?6 0.'7 18 16 14 12 10 9 8 7 7 6 5 4 4 3 3?7 r 1) 17 ]- 14 12 10 9 9 " 6 6 5 4 3 3 3'8 •,4 16 15 13 11 10 9 8 7 6 5 5 4 3 3 3' C *.41 16 1' & 3 11 9 8 7 v 6 5 5 4 3 3 3

.43 15 1U 12 11 9 9 7 6 6 5 4 4 3 3 3 r41 0.44 15 13 12 10 9 8 7 6 6 5 4 4 3 3 3-7 ".46 14 1? 11 10 8 7 7 6 5 5 4 4 3 3 3

"^,,47 14 12 11 10 8 7 6 6 5 5 4 4 'A "1 344 C.49 13 12 1i 9 8 7 6 6 5 5 4 3 3 3 3

U '5 1 11 10 9 8 7 6 6 5 4 4 3 3 3 3"" t r.,51 12 11 10 9 7 7 6 5 5 4 4 " ? i 3

? .7 0,5"A 12 !1 10 8 7 6 6 5 5 4 4 3 3 3 3"40 "75/ 12 10 9 8 7 6 6 5 5 4 4 3 1 3 3v *.56 11 10 9 8 7 6 5 5 5 " 4 3 3 3 34" '.57 !1 10 9 8 7 6 5 5 4 4 4 3 3 3 341 %,59 l1 9 8 7 6 6 5 5 4 4 4 3 3 3 347' C*6.60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 343 0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3 3

44 0:63 10 9 8 7 6 5 5 4 4 4 3 3 3 3 345 n*64 9 8 8 7 6 5 5 4 4 4 3 3 3 1 3"46 0.66 9 8 7 6 6 5 5 4 4 4 3 3 3 3 3 ,

47 '7.6' 9 8 7 6 5 5 4 4 4 4 3 3 1 1 349 ,0*AQ 9 8 7 6 5 5 4 4 4 3 3 3 3 ' 349 ,07c 4 7 7 6 5 5 4 4 4 3 3 3 3 3 3

5m .'?1 8 7 7 6 5 5 4 4 4 3 3 3 1 3

P,-65

Page 86: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

:;'AFj TR-5014

LfT <1ZF = 71Ar(CEPANCF NUMRER = 2

-T PPOPARILITY OF ACCEPTANC7E O (OR P•=Fo .01 .025 .05 .10 .?0 .30 .40 .50 .60 .70 .80 a.90 .95 .975 .99

7 q 7 6 6 5 4 4 4 4 3 3 3 3 3 3

"7•C 7. 8 7 6 6 5 4 4 4 3 3 3 3 3 3 3

0*76 7 7 6 5 5 4 4 4 3 3 3 3 3 3 30.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3•')79 7 6 6 5 4 4 4 A 3 3 3 3 3 3 3-9.8 7 6 I 5 4 4 4 3 3 3 3 3 3 3 3 1

C081 6 6 5 5 4 4 4 3 3 3 3 3 1 3 36 6 5 5 4 4 4 3 3 3 3 3 3 3 3

•,84 6 5 5 5 4 4 4 3 i 3 3 3 3 3--186 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3

.- 5 4 4 3 3 3 3 3 3 3 3 35 5 4 4 4 3 3 3 3 3 3 3 3 3

"4 5 4 4 , 3 3 ; 3 3 3 3 3 3 34 5 4 4 4 3 3 3 i 3- 3 3 3

"093 5 4 ', 4 4 3 3 3 3 3 3 3 3 i 3oQ- 5 . '- 4 3 3 3 3 3 3 3 3 3 3 3

".96 4 AL 4 4 3 3 3 3 3 3 3 3 3 3 33 3 3 3 3 3 3 3 3 3 3 3 3

3 • 3 3 3 3 3 3 3 3 3 3 3 3 3i.0o0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A-66

Page 87: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

r N~AF1 -TR-5o4

ca4PtF eI7 R OUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

LMT SIZE z 7,Ar'EPTANCF NYA'PFR 3 3No

• DOCT. PROBABILITY OF ACCEPTANCE 0 (OR P )

S'E ~. DEFo .01 .025 .05 .10 .20 ,30 .40 -50 .60 .70 .80 t90 .95 e975 .99

r if ! gA'4PLING PLAN NOT APPLICABLE - ACCEPT THE LOTS*#)i AMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 5

1.)4 SAMPLING PLAN NOT APPLICAPLE -- ACCEPT THE LOT 5

0.06 6' 67 67676765 62 60 56 53 48 41 34 29 24 5607 57.0o 66 66 65 62 59 55 52 49 45 41 37 30 25 21 17 s7n609 64 61 59 56 51 48 44 41 18 34 30 25 20 17 6

359 57 5 50 46 42 39 36 32 29 25 21 17 14 7?

' 0.]] 55 52 316 4 5 27 24 2 28 16 24 15 13 10 659 091 3 51 48 45 42 17-34 31 28 25 23 20 16 13 11 9 61

it) n,14 40 45 42 38 34 30 28 -25 23 20 IS 14 12 10 8 624 • 01 5- 42 39 15 31 28 25 2? PI1]9 16 13 11 9 9 63

V 1.17 4? 39 36 0 3 '9 26 23 21 19 17 15 12 10 9 7 6411 %!9 ?9 36 34 25 27 24 22 20 18 16 14 11 9 8 7 65

17 0";0 37 34 26 28 2!0 18 16 1 5 13 10 9 7 6 66

;a *.?6 35 2? 35 22 19 17 16 14 13 1607

223 21 15 14 12 1] 1 0 8 7 6 5:30 2 8 25 0 1 20 18 4 6 4? 3 11 9 8 7 6?7 ro,4 25 23 2 1 18 16• 1 14 12 11 9 7 6 5 69

I 1.33 27 2 2 8 19 17 16 1 ]3 12 9 0 8 7 6 5 70"i- 0.2739 26 24 21 18 17 15 14 10 11 0 8 7 6 5V r.29 27? 5 3 - 20 18 16 14 13 12 9 0 9 8 6 6 5

1C37 26 21 22 19 14 15 14 121 9 7 6 5 4"".e31 25 23 21 18 16 1 13 12 11 10 8 7 65 5 5

?i O,33 24 22 20 18 165 14 132 1 10 9 8 7 6 5 .54, 2 21 9 17 .15 13 12 10 9 8 7 6 5 4

-Av (o ? 20 18 16 5 11 3 1 1 0 9 8 7 6 5 5 4".447 7 19 87 16 14 12 !1 l0 9 8 7 6 5 5 4

%47 639 ?c 18 17 15 13 13 11 1 0 9 8 7 6 5 5 4

?;R 4r'* " ?n 18 1 14 12 11 109 9 87 7 6 5 5 44

4• '.49 19 17 16 34 12 1 9 8 8 7 7 6 5 4 4S o43 18 141 135 11 1 10 9 0 9 8 7 6 5 5 4 4

944 1.5 1 6 13 13 11 10 9 8 8 7 6 5 4 4. 9 4.6 17 15 14 13 11 !0 9 8 7 7 5 5 !"".537 16 13 14 ? 2 11 10 9 8 7 7 6 5 5 4 4

"14 .149 16 14 13 12 0 0 9 8 8 7 6 6 5 4 4 4" . 56 1-5 14 3 11 10 9 8 8 7 6 6 5 4 4 4

"r o5l i5 1? 12 11 10 9 8 7 7 6 6 5 4 4 4

ý) 1 14 1? 11 10

12 I 10 97 6 5 5 4 4 4 49 10,54 14 1' 11 10 9 8 8 7 6 6 5 5 4 4 4

"" 0 .56 12 1? 10 l- 9 8 7 7 6 6 5 5 4 4 4

"41 ý7 16 1 1 1 10 )9 8 7 7 6 6 5 4 4 4 446 0.6 1 10 1 10 8 7 7 6 6 5 5 4 4 4 44? ()06n 12 '11 i0 9 8 7 7 6 6 5 5 4 4 4 4

472 1,67 •1 1 0 9 8 7 7 6 6 5 5 4 4 4 444 f•o63 12 11 10 9 a 7 6 6 6 5 5 4 4 4 4

45 %.6 11 10 9 9 8 7 6 6 5 5 5 4 4 4 446 (ý * 66 11 10 9 8 7 7 6 6 5 5 5 4 4 4 447 )06 ,7 11 i0 9 8 7 7 6 6 5 5 5 4 4 4 44Q .116P le) 9 9 8 7 6 6 6 5 5 4 4 4 4 4

n,71 if 9 8 8 7 6 6 5 5 5 4 4 4 4 4,).71 V 9 8 7 7 6 6 5 5 5 4 4 4 4 4

A-67

Page 88: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI T-R-50o4

LMT SIZE 70ArCEPTANCE NUMBER z 3

PCT, PROBABILITY OF ACCEPTANCE 0 (OR . )OEFo 901 ,025 .05 .10 ,20 *30 .40 650 o60 970 e80 ,90 .95 9975 .99

0.73 9 9 8 7 6 6 6 5 5 5 4 4 4 4 40.74 9 8 8 7 6 6 5 5 5 5 4 4 4 4 40.76 9 8 q 7 6 6 5 5 5 4 4 4 4 4 4

4 C.77 9 a 7 7 6 6 5 5 5 4 4 4 4 4 45 0079 8 e 7 7 6 5 5 5 5 4 4 4 4 4 46 0.80 8 8 7 6 6 5 5 5 4 4 4 4 4 4 47 0.81 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4

,083 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4q C.84 7 7 6 6 5 5 5 5 4 4 4 4 4 4 40 0.86 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4

0.87 7 6 6 6 5 5 5 4 4 4 4 4 4 4? 0089 7 6 6 5 5 5 4 4 4 4 4 4 4 4 43 .09r 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4

0.91 6 6 6 5 5 5 4 4 4 4 4 4 4 4 45 0.l93 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4

n994 5 5 5 5 5 4 4 4 4 4 4 4 4 4 47 0.96 4 4 4 4 4 4 4. 4 4 4 4 4 4 4 4

0*97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40699 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4I.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

i

A-68

Page 89: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

F NFI TR-504

FAMPLE IPF PCEQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa)

SLT SIZE a 75ArrFPTANCF NUMPFsN = 0 N

S'v. P0 T. PROBABILITY OF ACCEPTANc ! 'OR Pa)FFo FFo .01 .025 .05 .10 o?0 &30 .40 .50 .60 .70 .80 $90 .95 .975 .99

f5 0.01 f 74 72 68 61 53 46 38 31 23 16 8 4 2 1(ell 68 63 59 51 4? 34 29 22 17 13 8 4 2 1 10.04 59 53 47 40 31 25 20 16 12 9 6 3 2 1 1

4 1O05 51 45 39 ?3 25 20 16 12 9 7 4 2 1 1 10.07 44 39 33 27 21 16 13 10 8 6 4 2 1 1 1

1 0.08 39 34 29 24 18 14 II 8 6 5 3 2 1 1 1r '¾09 35 30 26 21 15 12 9 7 6 4 3 2 1 1 19 0.11 32 27 23 18 14 10 8 6 5 4 2 1 1 1 19 0.12 29 24 21 17 12 9 7 6 4 3 2 1 1 1 1I- 0.13 26 22 19 15 11 8 9 5 4 3 2 1 1 -1 111 0.15 24 20 17 14 10 8 6 5 4 3 2 1 1 1 11? 0.16 23 19 16 13 9 7 6 4 3 3 2 1 1 1 1!3 0.17 21 17 15 12 9 7 5 4 3 2 2 1 1 1 114 0.19 20 16 14 II 8 6 5 4 3 2 2 1 1 1 115 0.20 18 15 13 10 7 6 5 4 3 2 2 1 1 1 1J .?1 17 14 !2 10 7 5 4 3 3 2 1 1 1 1 11 0.23 16 13 1i 9 7 5 4 3 2 2 1 1 1 1 110, no.24 1r 13 i1 8 6 5 4 3 ? 2 1 1 1 1 1

0 iS 12 10 p 6 5 4 3 2 2 1 1 1 1 114 0?7 14 11 10 8 6 4 3 1 2 2 1 1 1 1 113 1? q 7 5 4 3 i 2 2 1 1 1 1

27 0*29 i1 1e 9 7 5 4 3 2 2 2 1 1 1 !11 0.31 12 10 7 5 4 3 2 2 1 1

'4 ).32 11 9 8 6 5 4 3 2 2 1 1 1 1 1 1f ?5 0.3• ii 9 8 6 4 3 3 2 2 1 1 1 1 1 1• 0.35 I0 9 7 6 4 3 3 2 2 1 1 1 1 1 1

'7 0.36 10 8 7 5 4 3 3 2 2 1 1 1 1 1 119 .37 10 a 7 5 4 3 2 2 2 1 1 1 1 1 1

90o0 9 8 6 5 4 3 2 2 2 1 1 1. 1 1 1- 9 7 6 5 4 3 2 2 2 1 1 1 1 1 1

! 0.041 7 6 5 3 3 2 2 1 1 1 1 1 1 1I41 .43 8 1 6 5 3 3 2 2 1 1 1 1 1 1 i

0, 8 7 5 4 3 3 2 2 1 1 1 1 1 1 1-*4 A 6 5 4 3 2 2 2 1 1 1 1 1 1 1O.1,047 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1

i6 0.48 7 6 5 4 3 2 2 2 1 1 1 1 1 1 117 049 7 6 5 4 3 2 2 2 1 1 1 1 1 1 10.5! 6 5 4 3 2 2 2 1 1 1 1 1 1* .57 6 5 4 4 3 2 2 1 1 1 1 1 1 1 1

0052 6 5 4 3 3 2 2 1 1 1 1 1 1 1 14 1.5 6 5 4 3 2 2 1 1 1 1 1 1 1

4' .6 6 5 4 13 2 2 1 1 1 1 1 1 1 1I4-2 n, 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1

4 9.59 5 5 4 3 2 2 2 1 1 1 1 1 i 1 14 0 06( 5 4 4 i 2 2 2 1 1 1 1 1 1 1 146 0*.61 5 4 4 3 2 2 1 1 1 1 1 1 1 1 14 7 ,6l3 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1

9 ".6 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1m.67 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1

A-69

Page 90: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAJ'I Th-504

LnT S17F 75

ArrCrPTANr'F NUMRFR 0

11, P*T* PR~OBABILITY OF ACCEPTANCE 0 (OR PaýCF* ')FF. .01 *025 .05 .10 .20 *30 .40 .56 .60 .70 .80 .90 o95 .975 .999

.i * P4 4 3 2, 2 2 i i 1 1 1. 1 1 1 14 L 7 7 2 1 1 1 1 1 1 1 1 1C7 0.71 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1

54 0 s72 4 3 2 2 1 1 1 1 1 1 1 1 1 11* 14 1 3 2 1 1 1 1 1 1 1 1 1 1

6 ." 4 3 2 2 1 1 1 1 1 1 1 1 1%76 4 'A 3 2 2 1 1 1 1 1 1 1 1 1 1

"5F! .ý77 4 3 2 2 2 1 1 1 1 1 1 1 1 1n,79 1 2 2 2 1 1 1 1 1 1 1 1 1 1

3 ~o 2 2 2 1 1 1 1 1 1 1 1 1 167 '1 ? 1 1 1 1 1 1 1 1 1 1 1

34 3 2 1 1 1 11 1 1 1 1 1 14 2 2 1 1 1 1 1 1 1 1 11

3ý ? 2 1 1 1 1 1 1 1 1 1 1136 ? 9881 l 1 1 1

f3 7 1 1 1

?

Af ~ 1 1 1 91 1 1

24 77

71 ~.9 2 I 1 1 1 A1 710

Page 91: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SNArIT TR-5o4

SAMrPLE SI7F RFQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR P,,i ~t.tr M ITR = 77

Ar(CPTANCF NUMSFP = ]

t PCTo PROBABILITY OF ACCEPTANCE f (OR Pa cm"* DEF. .01 .025 .05 .10 .20 .30 .40 ,50 *60 .70 o80 o90 .95 o975 .99

0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT ""0.03 74 74 74 72 68 63 59 54 48 42 34 25 18 13 a0.04 71 68 65 61 54 48 43 38 33 28 22 15 11 8 54 0.05 64 60 56 51 44 38 34 29 25 21 17 11 8 6 4- 0s07 58 53 ý49 44 17 32 28 24 20 17 13 9 7 5 3S0.08 5? 47 43 38 32 27 23 20 17 14 11 8 6 4 3 517 . 09 47 43 38 34 28 24 20 17 15 12 10 7 5 4 1 59q 0,11 43 39 35 30 25 21 18 15 13 11 8 6 4 3 2 )4.1? 4n 3I 31 27 2 19 16 14 12 10 8 5 4 3 2 0'1n.13 16 32 29 25 20 17 15 12 11 9 7 5 4 3 2i1 0.15 34 30 26 2• 18 16 13 11 10 8 6 4 1 3 200.6 11 28 24 21 17 14 12 10 9 7 6 4 3 3 2 413 C%!7 29 26 23 19 16 13 11 10 8 7 5 4 3 2 2 69r 14 0114 28 24 21 18 15 12 11 9 8 6 5 4 3 2 2 S)?5 ".o0 26 2! 20 17 14 12 10 8 7 6 5 3 'A 2 2 724 7 9 l 311 9 9 8q 7 6 8 ~A17 023 23 20 18 15 12 10 9 7 6 5 4 3 3 2 2In n.74 7? 19 17 14 11 10 8 7 6 5 4 3 2 2 279 0.25 21 18 16 13 11 9 8 7 6 5 4 2 2 270.7 ?0 17 15 13 10 9 7 6 5 5 4 3 2 2 221 0.28 19 16 14 12 10 8 7 6 5 4 4 3 2 2 2 4"? ".29 19 16 14 12 9 8 7 6 5 4 3 3 2 2 2 74S0.31 17 15 13 11 9 8 6 6 5 4 3 3

4 .? 16 14 12 11 9 7 5 5 4 3 3 2 2 73 ' 0.3 16 14 12 10 8 7 6 5 4 4 3 2 2 2 2

'- ".95 15 19 11 10 8 7 6 5 4 4 3 2 2 2 2""7 1.6 15 13 '1 9 8 6 6 5 .4 4 3 2 7 2 20 .,37 14 12 11 9 7 6 5 5 4 3 3 2 2 2 239 O09 13 12 10 9 7 6 5 4 4 3 3 2 2 2I 0.4. 1311 10 8 7 6 5 4 4 3 3 2 , 2 20,4 1' 1 9 8 7 6 5 4 4 3 3 2 2 2i7 0*43 12 10 9 8 6 5 5 4 4 3 3 2 2 2 2""*44 110 9 8 6 5 5 . 3 3 ? 2 2 3P 945 11 1) 9 7 6 5 4 4 3 2 2 2 2 2,o *47 11 9 8 7 6 5 4 4 , 3 2 2 2 2 ,A 0 e4 1) 9 8 7 6 5 4 4 3 3 2 2 27 .4Qn10 9 8 7 3 5 4 4 3 , 2 2 2 2 ?0.1 10 98 7 6 5 4 4 3 3 3 2 2 2 2 290 1 08 7 6 5 4 4 3 3 3 2 2 2 2 2a7 f.69 7 6 5 4 4 1 3 3 2 2 2 2 24"' ()#51 9 8 7 6 5 4 4 3 3 2 2 2 22

974 3 3 2 2 2 2r 41 0.57 7 6 5 4 3 3 2 2 2 2 2 29 8 7 6 4 3 3 2 2 2 2 2Oý 98 7 65 4 4 33 3 2 2 2 2 2 2

44 C059 5 a 3 3 2 2 2 2 2 ?a706 76 6 S 4 4 3 3 3 2 2 2 2 2 24 if,4 7 6 6 4 ' 3 32 2 2 2 2 2 247 0,~l 7 6 56 4 4 3 32 2 2 2 2 2 24Q .M67 7 6 5 5 4 3 3 3 2 2 2 2 2 .

40 ~ ~ ~ ~ A ms5 7 5 4 3

Page 92: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

LnT SIF - 75ArCFPTANCF NUMBFR -

P"T, PROBABILITY OF ACCEPTANCE B (OR Pa |OFF• *()1 ,025 .05 .10 .20 o30 .40 *50 .60 o70 .80 e90 .95 .975 .99

0.68 7 6 5 4 4 3 3 S 2 2 2 2 2 2 2

0.69 6 6 5 4 4 3 3 3 2 2 2 2 2 2 23.72 6 5 5 4 4 3 3 3 2 2 2 2 2 2 20.7? 6 5 5 4, 3 3 3 2 2 2 2 2 2 2 20.73 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2

o,7r3 6 5 4 4 3 3 3 2 2 2 2 2 2 2 20976 6 5 4 4 5 3 3 2 2 2 2 2 2 2 70.77 5 5 4 4 1 3 3 2 2 2 2 2 2 2 2

5)o79 s 5 4 4 .3 3 2 2 2 2 2 2 2 2 2M.90 5 4 A 4 3 3 2 2 2 2 2 2 2 2 2

45 4 4 3 3 2 2 2 2 2 2 2 2 25 4 4 3 3 3 2 2 2 2 2 2 2 2 2

0.94 5 4 4 3 3 2 2 2 2 2 2 2 2 2 24 4 4 3 3 2 2 2 2 2 2 2 2 2 24 4 3 3 1 4 2 2 2 2 2 2 2 2 24 4 13 3 3 2 2 2 2 2 2 2 2 2 24.89 4 4 3 21 2 2 2 2 2 2 2 2 2 2

0.91 4 1 3 3 2 2 2 2 2 2 2 2 2 2 20.9? 4 3 3 3 2 2 2 2 2 2 2 2 2 2 210.9i 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

3oq i 3 i i 2 2 2 2 2 2 2 2 2 20096 3 3 3 2 2 2 2 2 2 7 2 2 2 2 2f- ,9 7 1 2 2 2 2 2 2 2 2 2 2 2 2

""? ? 2 2 ? 2 2 2 2 2 2 7 7 2 71.00 ) 2 ? 2 2 2 2 2 2 2 2 2 2 2 2

• i I-'inn a i ii i i ii e m ii l

Page 93: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-50h4

CAMPLr 517F RFQUIQFr TO ACCEPT LOT WITH A PROPABILITY OF AT MOST 8 (OR P )

LMT SUtE 75ArCEPTANCF NUMBFR =2 NO

r FF,

- N•, PrT, PROBABILITY OF ACCEPTANCE • (OR Pa 1-%FF, DEF. .01 s025 .05 .10 .20 .30 .40 *50 .60 970 .80 .90 .95 .975 .99

I oC3 SAMPLING PLAN NOT APOLICABLE - ACCEPT THE LOT515 2 1 00? SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 54

' 0.04 73 ",3 73 71 70 67 64 60 56 51 45 36 29 23 17 554I 4 0.05 72 70 68 65 59 55 51 47 42 38 32 25 20 16 12 56

, 0.07 67 64 6] 56 51 46 42 38 34 30 25 20 15 12 9 576 0.08 61 58 54 50 44 39 36 32 29 2ri 21 16 13 10 8 5,

_ 7 0.09 •6 53 49 44 39 35 31 28 25 21 18 14 11 9 7 59

8 52 48 44 40 35 31 27 24 22 19 16 12 6 8 6S.. .. 6 1q C*1? 48 44 40 36 31 28 25 22 19 17 14 11 8 7 5

A45 'I 37 13 28 25 22 20 17 15 13 10 8 6 5 6?11 n*15 41 38 31, 31 '6 23 20 18 16 14 12 9 7 6 6412 0.16 39 35 32 28 24 21 19 17 15 13 11 8 7 5 46!3 0.17 36 33 30 26 22 19 17 15 14 12 10 8 6 5 4 65_ 1, 0.19 34 31 28 25 21 18 16 14 13 11 9 7 6 5 4 66

"215 '.2a 32 29 26 23 19 17 1 13 12 10 9 7 5 5641 .. 1 683 021 ?m 27 25 22 18 16 14 13 11 10 8 6 5 69

"").2? 29 26 ?3 20 17 15 13 12 10 9 8 6 5 4 3( C0.24 27 24 22 19 16 14 13 1' 10 9 7 6 5 4 3 70

C'.2S 26 23 21 18 15 13 12 11 9 8 7 6 5 4 3 72

. .27 25 22 20 17 15 13 11 10 9 8 7 5 4 322, 0.2R 24 21 '9 17 14 12 11 10 9 7 6 5 4 4 32 ? 0,29 23 20 18 16 13 12 10 9 8 7 6 5 4 4 3 73? 3 1o31 22 19 17 15 13 11 10 9 8 7 6 5 4 3 32) e.?2 21 18 17 15 12 11 10 8 8 7 6 5 4 3 32: 0.33 20 18 16 14 12 10 9 8 7 6 5 4 4 3 3?6 3 19 17 15 13 11 10 9 8 7 6 5 4 4 3 1?7 0.36 18 16 15 13 11 10 8 8 7 6 5 4 4 3 32P 0.37 1e 16 14 12 10 9 8 7 7 6 5 4 4 3 3

1 .3o 17 1 14 12 10 1 8 9 6 6 5 4 1 3 3j 0.40,C 16 15 13 12 10 9 8 7 6 5 5 4 3 3 332 ,0,4 16 14- 13 11 9 8 7 7 6 5 5 4 3 3 3

19 14 12 31 9 8 7 6 6 • 4 4 1 3 1n.44 15 13 12 10 9 8 7 6 6 5 4 4 3 3 3

14 34 ',45 14 13 11 10 9 8 7 6 5 5 4 4 3 3 315 0.47 14 1? 11 1c 8 7 7 6 5 5 4 4 3 3 3i6 %,48 13 1? 11 9 8 7 6 6 5 5 4 3 3 ' I37 0.49 13 12 10 9 8 7 6 6 5 5 4 3 3 3 3 )18 0.51 13 11 i0 9 8 7 6 5 5 4 4 3 3 3 339 05,,2 1 11 1 9 7 6 6 5 5 4 4 3 3 14n 0.53 1? 11 9 8 7 6 6 5 5 4 4 3 3 3 341 0.55 11 10 9 8 7 6 6 5 5 t 4 3 3 3 1

0 r.56 11 1 9 8 7 6 5 5 4 4 4 3 1 141 57.9 11 10 9 8 7 6 5 s 4 4 4 3 i 3 3

* 46 0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3347 0,3 10 9 8 7 6 5 5 4 4 4 3 3 3 3 349 l.64 9 8 8 7 6 5 5 4 4 4 3 3 3 3 34 0,65 9 8 7 6 6 5 5 4 4 4 3 3 3 3 3

r 1.6• 7 6 6 5 5 4 4 4 3 1 1

A-73

Page 94: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

11AFI TR-50o4

LnT IIZF = 75A"CEPTANCF NUMSFR z 2

PCT PROBABILITY OF ACCEPTANCE ( (OR Pa-F. DFF, .01 .025 .05 .10 ,20 .30 .940 #50 .60 ,70 ,80 .90 .95 ,975 .99

0.68 9 8 7 6 5 5 4 4 4 3 3 3 3 3 30.769 8 8 7 6 5 5 4 4 4 3 3 3 3 3 3

,l ".71 8 7- 7 6 5 5 4 4 4 3 3 3 3 3 3i -,A8 7 6 6 5 5 4 4 4 3 3 3 3 3 36 0.73 8 7 6 6 5 4 4 4 4 3 3 3 3 3i 0.75 7 7 6 5 5 4 4 4 3 3 3 3 3 3 39 0.76 7 7 6 5 5 4 4 4 3 3 3 3 3 3 3S 0.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 39 .79 7 6 6 5 4 4 4 4 3 3 3 3 3 3 33 0.80 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3

'1 0.81 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3i? 0.83 6 6 5 5, 4 4 4 3 3 3 3 3 3 3 3)3 0.84 6 6 5 5 4 4 4 3 3 3 3 3 3 3 31) 0.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3

0.87 6 5 5 & 4 4 3 3 3 3 3 3 3 3 36 .9p 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3

O 0,9 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3C 0,91 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3

'9 0.92 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3ro 0.93 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3r1 -0.95 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3r2 0*96- 4 .4 4 4 3 3 3 3 3 3 3 3 3 3 313 0.97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 314 0.99 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3r5 1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

AI

A-74

Page 95: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

TNArI TR-504

SAMPLE SI7F RPOUIRFý TO ACCEPT LOT WITH A PROBABILITY OF AT HOST ' IOR Pa a

L"T SIZE = 75ArCFP T ANCr NUMPFP = 3

N•, PCTo PROBABILITY OF ACCEPTANCE ; {OR Pa )-ro DEF. #01 e025 905 910 *20 *30 .40 O50 *60 .70 *80 #90 #95 *975 *99

I Cool SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT7 ,,• 1* ;AmPLING PLAN NO? APPLICABLE -- ACCEPT THE LOT

? cAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 54 ý005 7 777 7272 77 69 67 64 60 56 513 4 37 31 25 57

S.0' 71 71 69 67 63 59 56- 52 48 44 39 32 27 23 196 ,08R 68 66 63 60 55 51 47 44 40 37 32 26 22 18 15 58

" ) . 0o9 64 61 58 54 49 45 41 38 35 31 27 22 18 15 12 3 ()

4 061i 5q 56 53 49 44 40 37 33 30 27 24 19 16 13 11 63

9 0.12 55 52 48 45 40 36 33 30 27 24 21 17 14 12 10 62

10 09..1 51 48 45 41 36 33 30 27 24 22 19 15 13 11 63

1! 0.15 48 45 41 38 33 30 27 25 22 20 17 14 12 10 8 41 0 0,16 45 42 39 35 31 28 25 23 20 1F 16 13 11 9 71" ? C1"' 4 2 39 36 33 26 76 23 ?1 19 17 15 12 10 8 7 6614 n.19 40 ( 37 14 31 27 4 7? ?O 18 16 14 11 9 8 7 m 6715 o 38 35 32 29 25 22 20 18 16 15 13 10 9 7 6 616 0,?31 16 11 10 27 2? 21 19 17 15 14 12 10 8 7 6 6917 . ?i 34 31 28 25 22 20 18 16 15 13 11 9 8 7 6 7n

47 0 71 74 71 19 1 7 1 r, 1t 1? 11 9 7 6 5 7119 O? 1 28 76 21 20 I8 16 1 m 13 12 10 8 7 6 5 7

r, 0.27 29 27 74 22 19 17 15 14 17 11 10 8 7 6 5 72'1 0,78 78 2' 7? 21 18 16 15 13 1? 11 9 8 7 6 5 74

77 0.2 ?7 24 72 20 17 15 14 13 11 10 9 7 6 6 5 75i 06,41 26 21 71 19 16 15 13 12 11 10 9 7 6 5 5'4 0.3? 25 2? 20 IS 16 14 :1 12 10 9 8 7 6 5 5?5 n633 24 21 20 17 15 14 12 11 10 9 8 7 6 5 4?6 0.05 23 71 19 1v 15 13 1? 11 i0 9 8 6 6 5 4 I'7 M,9", 72 7t, 18 IA 14 VA 11 10 9 8 7 6 5 5 478 0.37 21 iq 17 16 13 12 11 10 9 8 7 6 5 5 40 0..AQ )0 is 17 15 13 12 11 10 9 8 7 6 5 5 4

0*4n 2f 18 16 15 13 11 10 9 8 8 7 6 4ii _0941 19 17 16 14 1? 11 10 pi 7 7 6 5 4 4" " 0.*4 18 17 15 14 1? 11 10 9 8 7 6 5 5 .4 4

0.44 !A 16 15 I" '1 10 9 8 8 7 6 5 5 4 4'14 Cea5 i7 16 '4 13 11 10 9 8 8 7 6 5 S 4 4

1 , LI04- 7 15 14 12 11 10 9 8 7 7 6 5 5 4 4-%6 r%*40 1(, tc 13 1? 10 9 9 a 7 7 6 5 s 4 4 I"17 ,04q 16 14 13 12 10 Q 8 8 7 6 6 5 4 4 4

'. 51 1 S 14 1. II 10 9 8 7 7 6 6 5 4 4 410 ̂ f? 165 !i 12) 11 Im 9 a 7 7 6 5 5 4. 4 4.

4A 1, 1? 11 11 9 8 / 7 6 6 5 5 4 4 44114 12 11 10 9 7 6 6 5 5 4 4 4

4. 11 12? i1 10 9 8 7 7 6 6 5 4 4 4 444. %, Q 13 1? 11 10 q 8 7 6 6 5 S 4 4 4 I

4 ' 1 10 9 8 7 7 6 6 5 5 4 4 4 44A ? 1 9 a 7 1? 6 6 5 5 4 4 4 4.47 f*1 17 11 i0 9 8 7 6 6 6 5 5 4 4 4 4.

116 110 9 9 B 7 6 6 5 5 5 4 4. 4 44 11 10 9 M 7 7 6 6 5 5 5 4 4 4 4

11 10 9 a 7 7 6 6 5 5 5 4 4 4

Page 96: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

TR-504

LnT 1,17F =7SArCFDTANCF NLP4SFP =3

PC-To PROBABILITY OF ACCEPTANCE $(OR PaDFF. .01 o0?5 *05 910 o2'% .30 e40 .50 e60 .70 980 .90 .95 e975 .99

106P i 10 9 8 7 6 6 6 5 5 4 4 4 4 49 9 7 6 5 5 5 4 4 4IM97 0 9 9 8 7 6 6 5 5 5 4 4 4 4 4

0.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 4r.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 40*75 9 9 8 7 6 6 6 5 5 5 4 4 4 4 40.*75 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40977 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40.79 9 8 7 7 6 6 5 5 5 4 4 4 4 4 40679 8 8 7 7 6 5 5 5 5 4 4 4 4 4 4100.81 8 8 7 6 6 5 5 5 4 4 4 4 4 4 40.83 8 7 7 6 6 5 5 5 4 4 4 4 4 4 40.83 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4M* 85 7 7 6 5 5 4 4 4 4 4 40.84 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4

008 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4n*99 7 7 6 6 5 5 4 4t 4 4 4 4 4 4 40.881 6 6 6 5 5 5 4 4 4 4 4 4 4 40892 7 6 6 5. 5 5 4 4 4 4 4 4 4 4 40.91 6 6 6 5 5 5 4 4 4 4 4 4 4 4 40,92 65 5 5 5 4 4 4 4 4 4 4 4 4 4I

0.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 si0.97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40.99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4S I0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-76

Page 97: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NFAI TR-504

,rAPLE SI'E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST e (OR Pa)

Ln T SIZE z S0ArrFPTANCF NUMPFR = 0

NO,

NO. PCTe PROBABILITY OF ACCEPTANCE 0 (OR Pa) DE

-FF, DEF. .01 *025 *05 .10 .20 *30 .40 .50 *60 *70 .80 *90 o95 9975 ,9S 51

1 0.01 80 79 77 73 65 57 49 41 33 25 17 9 5 3 1 5;

2 0.02 72 67 62 55 44 36 30 24 18 13 9 5 3 2 1 5-

3 0.04 62 56 50 43 33 27 21 17 13 9 6 3 2 1 1 51

4 005 54 48 4? 35 26 21 17 13 10 7 5 3 2 1 1 !

9 0 ,C6 47 41 36 29 22 17 14 61 5t

6 0.07 42 16 31 25 19 15 11 9 7 5 3 2 1 1 17 0.09 38 32 27 22 16 13 10 8 6 4 3 2 1 1 1 "8 0.10 34 29 24 20 14 11 9 7 5 4 3 2 1 1 19 0.11 31 26 22 12 13 10 8 6 5 3 2 1 1 6 1 61

10 0.13 28 24 20 16 12 9 7 6 4 3 2 1 1 16

11 0*14 26 22 18 15 11 8 6 5 4 3 2 1 1 6 1 6

12 0.15 24 20 17 13 10 8 6 5 4 3 2 1 1 113 0.16 23 19 16 12 9 7 6 4 3 2 2 1 1 1 114 0.17 21 17 15 12 8 7 5 4 3 2 2 1 1 16

15 0,Q 20 16 14 11 8 6 5 4 3 2 2 1 1 ] 1 61

16 0720 19 15 13 10 7 6 5 4 3 2 2 1 1 1 i 6817 0.21 17 14 12 10 7 5 4 3 3 2 1 l 1 1 1 6918 0.22 17 14 11 9 7 5 4 3 2 2 1 1 1 1 1 7fl

19 0.24 16 13 11 9 6 5 4 ? 2 2 1 1 ? 1 1 71

20 0.25 15 12 10 8 6 5 4 3 2 2 ? 1 1 1721 0.26 14 12 10 8 6 4 3 3 2 2 1 1 1 l 1 7?? ? 0 .27 14 11 9 7 5 4 3 3 7 2 1 1 1 1 1 3

S740.O,29 13 11 9 7 5 4 3 3 2 2 1 1 1 1 1 75

24 0.6.30 12 10 8 7 5 4 3 2 2 2 1 1 1 1 1 76

25 0.31 12 10 8 6 5 4 3 2 2 1 1 1 1 1 1 77

26 032 1i1 9 8 6 4. 4 3 2 7 7 1 1 1 1 1 78

07 0,34 11 9 7 6 4 3 3 2 2 1 1 1 1 178

28 0.35 1) 9 7 6 4 3 3 2 2 1 1 1 1 1 1

29 0.36 10 8 7 5 4 3 3 2 2 1 1 1 1 1 1 80

30 0.38 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1 i31 0.39 9 8 6 5 4 3 2 2 2 1 1 1 1 1 132 0.40 9 7 6 5 4 3 2 2 2 1 1 1 1 1 133 0.41 9 7 6 5 3 3 2 2 1 1 1 1 134 0.42 8 7 6 5 3 3 2 2 1 1 1 1 1 135 0.44 8 7 6 4 3 3 2 2 1 1 1 1 1 1 1-A6 0,,A 4 6 5 4 3 2 2 2 i 1 1 1 117 0.46 8 f 5 4 3 2 2 2 1 1 1 1 1 1 1 i38 0,47 7 6 5 4 3 2 2 2 1 1 1 1 1 1 139 0.09 7 6 5 4 3 2 2 2 1 1 1 1 1 1 140 0.50 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1 I41 0.51 7 5 5 4 3 2 2 1 1 1 14.2 0,52 6 5 4 4 3 2 2 1 1 1 1 I l l41 0.54 6 5 4 3 3 2 2 1 1 1 1 1 1 1 144 0655 6 5 4 3 2 2 2 1 1 1 1 1 1 . 1 i45 0,56 6 51 4 3 2 2 2 1 1 1 1 I 1 II46 0.57 6 5 4 3 2 2 2 1 1 1 1 1 1 1 147 0.59 5 5 4 3 2 2 2 1 1 1 1 1 1 1 148 0.60 5 4 4 3 2 2 2 1 1 1 14q 0.61 5 4 4 3 2 2 1 1 1 1 1 1 1 1 150 0.63 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1

A-77

Page 98: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NTAI TR-50O

LMT SIZE = 80ACCEPTANCE NUMBER = 0

0. PCT. PROBABILITY OF ACCEPTANCE 0 (OR .•EF, DEF. .01 .025 .05 .10 *20 *30 o40 .50 *60 o70 h80 .90 .95 .97' .99

51 0.64 5 4 3 3 2 2 1 1 1 1 1 1 1 1 152 0.65 5 4 3 3 2 2 1 1 1 1 1 1 1 1 153 0.66 5 4 3 3 2 2 1 ' 1 1 1 1 1 1 -54 0.67 4 4 3 3 2 2 1 1 1 1 1 1 1 1 155 0969 4 4 3 2 2 2 1 1 1 1 1 1 1 1 15b 0.70 4 3 3 2 2 2 1 1 1 1 1 1 1 1 157 0.71 4 3 3 2 2 1 1 1 1 1 1 1 1 1 I58 0.72 4 3 3 2 2 1 1 1 1 1 1 1 1 1 159 0.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 160 0.75 4 3 3 2 2 1 1 1 1 1 1 1 1 1 161 0.76 4 3 3 2 2 1 1 1 I 1 1 1 1 1 162 0.77 3 3 2 2 2 1 1 1 1 1 1 1 1 1 163 00.9 3 3 2 2 2 1 1 1 1 1 1 1 1 1 164 0.80 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1

65 0.81 3 3 2 2 1 1 1 1 1 1 1 1 1 1 166 0.82 3 3 2 2 1 1 1 1 1 1 1 1 1 1 167 0.84 3 2 2 2 1 I 1 1 1 1 1 1 1 168 0.85 3 2 2 2 1 1 1 1 1 1 1 1 1 1 169 0.86 3 2 2 2 1 1 1 170 n.88 3 2 2 2 1 1 1 1 1 1 1 1 1 1 171 0.89 3 2 2 2 1 1 1 1 1 1 1 1 1 1 172 0.90 2 2 2 2 1 1 1 1 1 1 1 1 1 1 173 0.91 2 2 2 1 1 1 1 1 1 1 1 1 1 1 174 097 7 2 2 I 1 1 1 1 1 1 1 1 1 1 175 0.94 ? 2 2 1 1 1 1 1 1 1 1 1 1 1 176 .0095 2 2 1 1 1 1 1 1 1 1 ] 1 1 177 0.96 2 2 1 1 1 1 1 1 1 1 1 1 1 178 0.97 2 2 1 1 1 1 1 1 1 1 1 1 1 1 179 0.99 I I I i 1 1 1 1 1 1 1 1 1 180 1.00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

A-78

Page 99: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

r NAKI TR-504

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR PF)

LOT SIZE * 80ACCEPTANCF NUMBER = 1

NO*SNO* PCT . PROBAB IL ITY OF ACCEPTANCE (OR P IEF

t)F. DEF. .01 .025 *05 .10 *20 930 .40 .50 ,60 *70 .80 a90 .95 .975 .99 5152

1 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 532 0.02 79 79 78 76 72 68 63 57 51 45 37 26 19 14 9 54S 3 0.04 75 73 69 65 57 51 46 41 35 30 24 16 12 8 6 554 0.05 68 64 60 54 47 41 36 31 27 22 18 12 9 6 4 565 0.06 6? 57 52 47 39 34 29 25 22 18 14 10 7 5 4 576 0.07 56 51 46 41 34 29 25 21 18 15 12 8 6 4 3 58S 7 0.09 50 46 '4 36 30 25 22 19 16 -13 10 7 5 4 3 598 0.10 46 41 37 32 26 22 19 16 14 11 9 6 5 3 3 609 0.11 42 38 34 29 24 20 17 15 12 13 8 6 4 3 2 61

10 0.13 39 35 31 26 21 18 15 13 11 9 7 5 4 3 2 6211 0.14 36 32 ?8 24 20 17 14 12 10 8 7 5 4 3 2 6312 0.15 34 30 26 22 18 15 13 11 9 8 6 4 3 3 2 6413 0.16 31 28 ?4 21 17 14 12 10 9 7 6 4 3 3 2 65

S 14 0.17 30 26 23 19 16 13 11 10 8 7 5 4 3 2 2 6615 0.19 28 24 21 18 15 12 10 9 8 6 5 4 3 2 2 6716 0.20 26 23 ?o 17 14 12 10 8 7 6 5 3 3 2 2 6817 0.21 25 22 19 16 13 11 9 8 7 6 5 3 3 2 2 6918 0.22 23 20 18 15 12 10 9 8 6 5 4 3 3 2 2 7019. 0.24 2? 19 17 14 12 10 8 7 6 5 4 3 2 2 2 7120 0.25 21 18 16 14 11 9 8 7 6 5 4 3 2 2 2 7221 0.26 20 18 15 13 10 9 8 6 6 5 4 3 2 2 2 7322 0.27 19 17 15 12 '0 8 7 6 5 4 4 3 2 2 2 7423 0.29 18 1,6 )4 12 10 8 7 6 5 4 4 3 2 2 2 7524 0.30 18 :,5 13 11 9 8 7 6 5 4 3 3 2 2 2 7625 0.31 V? 15 13 11 9 7 6 5 5 4 3 3 2 2 2 7726 0.32 16 14 12 10 8 7 6 5 5 4 3 2 ? 2 2 7827 0.34 16 14 12 10 8 7 6 5 4 4 3 2 2 2 2 7928 0.35 15 13 i1 10 8 7 6 5 4 4 3 2 2 2 2 8029 0.36 15 13 i1 9 8 6 5 5 4 4 3 2 2 2 230 0.38 14 12 I1 9 7 6 5 5 4 3 3 2 2 2 231 0.39 13 12 i0 9 7 6 5 4 4 3 3 2 2 2 232 0.40 13 I. 10 8 7 6 5 4 4 3 3 2 2 2 233 0.41 13 11 !0 8 7 6 5 4 4 3 3 2 2 2 234 0.42 12 11 9 8 • 5 5 4 4 3 3 2 2 2 235 0.44 1? 10 9 8 6 5 5 4 3 3 3 2 2 2 236 0.45 1i. 10 9 7 b 5 4 4 3 3 3 2 2 2 237 0.46 11 10 8 7 6 5 4 4 3 3 2 2 2 2 238 0.47 II 9 8 7 6 5 4 4 3 3 2 2 2 2 239 0.49 10 9 8 7 5 5 4 4 3 3 2 2 2 2 240 0.50 10 9 8 7 5 5 4 4 3 3 2 2 2 2 241 0.51 10 8 7 6 5 4 4 3 3 3 2 2 2 2 242 0.52 q 8 7 6 5 4 4 3 3 3 2 2 2 2 243 0o54 q 8 7 6 5 4 4 3 3 3 2 2 2 2 244 0.55 9 8 7 6 5 4 4 3 3 3 2 2 2 2 245 0.56 9 8 7 6 5 4 4 3 3 2 2 2 2 2 246 0.57 8 7 6 6 5 4 3 3 3 2 2 2 2 2 247 0.59 q 7 6 5 4 4 3 3 3 2 2 2 2 2 248 0.60 8 7 6 5 4 4 3 3 3 2 2 2 2 2 249 0.61 q 7 6 5 4 4 3 3 3 2 2 2 2 2 250 0.63 7 7 6 5 4 4 3 3 3 2 2 2 2 2 2

A-79

Page 100: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LnT SIZE U 80A("CEPTANCE NUMBER s 1

PCT. PROBABILITY OF ACCEPTANCE ý (OR .F. DEF. .01 .025 ,05 .10 ,20 o30 .40 *50 &60 .70 e80 .90 .95 o975 .99

1 0.64 7 6 6 5 4 3 3 3 2 2 2 2 2 2 22 0.65 7 6 5 5 4 3 3 3 2 2 ? 2 2 2 213 0.66 - 6 5 5 4 3 3 3 2 2 2 2 2 2 214 0.67 7 6 5 4 4 3 3 3" 2 2 2 2 2 2 2'5 0.69 7 6 5 4 4 3 3 3 2 ? 2 2 2 2 26 0.70 6 6 5 4 4 3 3 3 2 2 2 2 2 2 27 0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2'8 0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 29 0.74 6 5 5 4 3 3 3 2 2 2 2 2 2 2 20 0.75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 22 0.76 6 5 4 4 3 3 3 2 2 2 2 2 2 2 22 0,77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 23 0.79 5 5 4 4 3 3 2 2 2 2 2 2 2 2 24 0.80 5 4 4 4 3 3 2 2 2 2 2 2 2 2 25 0.81 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2.7 0.82 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2.7 0.84 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2

8 0.85 I 4 3 3 3 2 2 2 2 2 2 2 2 2 2ý9 0*136 I, 4 3 3 3 2 2 2 ? 2 ? 2. ? 2 " 20 0.88 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2

'1 0.89 L 4 3 3 3 2 2 2 2 2 2 2 2 22 0.90 & 4 3 3 2 2 2 2 2 2 2 2 2 2 .2'3 0.91 ' 3 3 3 2 2 2 2 2 2 2 2 2 2 2"4 0.92 4 3 3 3 2 2 2 2 ? 2 2 2 2 z 25 0.94 3 3 3 3 2 2 2 2 2 2 2 2 2 2 26 0.95 1 3 3 2 2 2 2 2 ? 2 2 2 2 2 27 0.96 3 3 3 2 2 2 2 2 2 2 2 2 2 2 28 0.97 3 3 2 2 2 2 2 2 2 2 2 2 2 2 29 0.99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 20 1.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

A-8o

Page 101: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SAMPLE SIE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST a (OR Pa

LnT SIZE a 80ACCEPTANCE NUMBER a 2 NO,

!) EF.

NO, PCT. PROBABILITY OF ACCEPTANCE 0 (OR P 51r)Fre DEF. .01 e025 *05 .10 920 .30 .40 .50 960 e70 .80a 9 0 .95 .975 ,99 52

1 001 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT52 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 54

3 0.04 78 78 78 78 75 72 68 64 60 54 48 35 31 25 19 56

4 0.05 77 75 72 69 63 59 54 50 45 40 34 27 21 17 13 56

5 0.06 7! 68 65 60 54 49 45 41 36 32 27 21 16 13 10 57

6 0.07 66 62 58 53 47 42 38 34 30 27 22 17 13 1] 8 58r 0.09 60 56 5? 47 4! 37 33 30 26 23 19 15 11 9 76

8 0.10 56 51 47 43 37 33 29 26 23 20 17 13 10 8 6 60

9 0.11 51 47 43 39 33 29 26 23 21 18 15 11 9 7 6 6210 0.13 40 43 40 35 30 27 2& 21 19 16 13 10 8 7 5 6311 0.14 44 40 37 33 28 24 22 19 17 15 12 9 7 6 5612 0915 41 37 34 30 26 22 20 18 16 13 11 9 7 6 5 65

13 0.16 39 35 32 28 24 21 18 16 !4 12 10 8 6 5 4 6614 0.17 37 33 30 26 2? 19 17 15 1? 12 10 8 6 5 4 6715 0.19 34 31 28 25 2! 18 16 14 13 11 9 7 6 5 4 6816 0.20 33 29 26 23 20 17 15 13 12 10 9 7 5 5 4 6917 0.21 31 28 25 22 18 16 14 13 11 10 8 6 5 4 4 7018 0.22 29 26 24 21 17 15 13 12 11 9 -8 6 5 4 4 7119 0.24 28 25 22 20 17 14 13 13 10 9 7 6 5 47220 0.25 27 24 21 19 16 14 12 11 10 8 7 6 5 4 3 7321 0.26 25 23 20 18 15 13 12 10 9 8 7 5 4 4 3 7422? 0.27 24 22 19 17 14 12 11 10 9 8 6 5 4 4 3 7523 0.29 23 21 19 16 14 12 11 9 8 7 6 5 4 4 3 7624 0.30 22 20 18 16 13 11 10 9 8 7 6 5 4 4 3 7725 0631 21 19 17 15 13 11 10 9 8 7 6 5 4 3 7826 0.32 21 18 16 14 12 11 9 8 7 7 6 5 4 3 3 7927 0.34 20 18 16 14 12 10 9 8 7 6 5 4 4 3 38028 0.35 19 17 15 13 11 10 9 8 7 6 5 4 4 3 329 0.36 18 16 15 13 11 9 8 8 7 6 5 4 4 3 330 0.38 18 16 14 12 10 9 8 7 6 6 5 4 4 3 331 0.39 17 15 14 12 10 9 8 7 6 6 5 4 3 3 332 0.40 17 15 13 12 10 9 8 7 6 5 5 4 3 3 333 0.41 16 14 13 11 9 8 7 7 6 5 5 4 3 3 334 0.42 15 14 i? 11 Q 8 7 6 6 5 4 4 3 3 335 0.44 15 13 12 10 9 8 7 6 6 5 4 4 3 3 336 0.45 15 13 1? 10 9 8 7 6 5 5 4 4 3 3 337 0.46 14 1? 1! 10 8 7 7 6 5 5 4 4 3 3 338 0.47 14 12 1) 10 8 7 6 6 5 5 4 3 3 3 339 0.49 1? 12 11 9 8 7 6 6 5 5 4 3 3 3 340 0.50 1? 11 10 9 8 7 6 6 5 4 4 3 3 3 341 0.51 12 11 10 9 7 7 6 5 5 4 4 3 3 3 342 0.52 12 11 10 9 7 6 6 5 5 4 4 3 3 3 343 0.54 12 10 9 8 7 6 6 5 5 4 4 3 3 3 344 0.55 11 10 9 8 7 6 6 5 5 4 4 3 3 3 345 0,56 11 10 9 8 7 6 5 5 4 4 4 3 3 3 346 0.57 11 10 9 8 7 6 5 5 4 4 4 3 3 3 347 0.59 11 9 8 7 6 6 5 5 4 4 4 3 3 3 348 0.60 10 9 4 7 6 6 5 5 4 4 3 3 3 3 349 0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3 350 0.63 10 9 9 7 6 5 5 4 4 4 3 3 3 3 3

A-81

Page 102: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

r.AFI TR-50o1

LOT SIZF 80ArCEPTANCF NUMBER a2

PCT. PROBABILITY OF ACCEPTANCE 0 (OR Pa,DEF. .01 *021 .05 .10 *20 *30 .40 s50 s60 .70 .80 .90 .95 .975 o99

0.64 9 8 8 7 6 5 5 4 4 4 3 3 3 3 30*65 9 8 7 6 5 5 4 4 3 3 3I0.65 9 8 7 76 6 5 5 4 4 4 3 3 3 3 30.66 9 8 7 6 6 5 4 4 4 4 3 3 3, 3 30.67 9 8 7 6 5 5 4 4 4 3 3 3 3. 3 30697 9 8 7 6 5 5 4 4 4 3 3 3 3 3 -30.70 8 7 7 6 5 5 4 4. 4 3 3 3 3 3 30.72 8 7 7 6 5 5 4 4 4 3 3 3 3 3, 30.72 8 7 5 6 5 4 4 4 4 3 3 3 3 3 30.74 7 6 6 5 5 4 4 4 3 3 3 3 3 3 310.75 7 7 6 5 5 4 4 4 3 3 3 3 3 3 30.76 7 7 6 5 5 4 4 4 3 3 3 13 3 3 30.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 30080 7 6 5 4 4 4 3 3 3 3 30.79 7 6 6 5 4 4 4 4 3 3 3 3 3 3 30.802 6 6 5 4 4 .4. 3 3 3 3 3 3 3 30.81 7 6 5 5 4 4 4 3 3 3 3 3 3 3 30.682 6 6 5 5 4 4 34 3 3 3 3 3 3 3 30.84 6 6 5 5 4 4 3 3 3 3 3 3 3 3 30.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 30.86 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.880 5 5 4 4 43 3 3 3 3 3 3 3 3 30.891 5 5 4 4 4 4 3 3 3 3 3 3 3 3 30.90 5 5 4 4 4 3 3 3 3 3 3 3 3 3 30.91 5 4 4 4 4 3 3 3 3 3 3 3 3 3 30.92 5 4 4. 4 3 3 3 3 3 3 3 3 3 10.-94 4 4 4 3 3 3 3 3 3 3 3 3 3 30.95 5 4 4 4 3 3 3 3 3 3 3 3 3 3

0.99 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A-82

Page 103: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NTI4AM TR-50o

SAMPLE SIZE REQUIRED TO ACCEPT L01 WITH A PROBABILITY OF AT M4OST .0 (OR Pa

1LT SiZE s 80ArrEPTANCE NUMBER

"NO*DEF.

W NO. PCTo PROBABILITY Or ACCEPTANCE 0 (OR Pa)EF. DE'F .01 -025 .05 ic1 *20 .30 o40 .50 .60 .70 .80 .90 .95 e975 .99 51

1 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 532 0.02 SAMPLING PLAN NOT APPLICABLF - ACCEPT THE LOT 543 0.04 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 554 0.05 77 77 77 77 76 74 71 68 64 60 55 46 39 3B 27 565 0.06 76 76 74 71 67 63 59 56 52 47 42 34 29 24 19 576 0.07 73 70 68 64 59 54 51 47 43 39 34 28 23 19 15 587 0.09 68 65 62 58 52 48 44 41 37 33 29 23 19 16 13 598 0010 63 60 56 52 47 43 39 36 32 29 25 20 17 14 11 609 0.11 59 55 52 48 42 38 35 32 29 26 22 18 15 12 10 61

10 0.13 55 51 48 44 38 35 32 29 26 23 20 16 13 11 9 62S 11 0.14 51 48 44 40 35 32 29 26 24 21 18 15 12 10 8 6312 0.15 48 45 41 37 33 29 27 24 22 19 17 !4 11 9 1 6413 0.16 45 42 39 35 3C 27 25 22 20 18 16 13 10 9 7 65

S 14 0.17 43 39 36 33 28 25 23 21 19 17 14 12 10 9 7 6615 0.19 40 37 34 31 27 24 22 19 18 16 14 11 9 8 6 6716 0.20 38 35 32 29 25 22 20 -3 16 15 13 10 9 ' 6 6817 0.21 36 33 30 27 24 21 19 17 16 14 12 10 8 7 6 6918 0.22 35 31 29 26 22 20 18 16 15 13 11 9 8 7 6 7019 0.24 33 30 27 25 21 19 17 15 14 12 11 9 7 6 5 7120 0.25 31 29 26 23 20 18 16 15 13 12 10 8 7 6 5 72?21 026 30 27 25 22 19 17 16 14 13 11 10 8 7 6 5 7322 0.27 29 26 24 21 18 16 15 13 12 11 9 8 7 6 5 7423 0.29 28 25 23 20 18 16 14 13 1? 10 9 7 6 6 5 7524 0.30 27 24 22 20 17 35 14 12 11 10 9 7 6 5 5 76S 25 0.31 25 23 2] 19 16 14 13 12 11 10 8 7 6 5 5 7726 0.32 25 22 20 18 16 1ý 13 11 10 9 5 7 6 5 5 7827 0.34 24 21 19 17 15 13 12 11 10 k 8 7 6 5 4 7928 0.35 23 21 19 17 14 13 12 11 10 9 8 6 6 5 4 8c29 0.36 22 20 18 16 14 12 11 10 9 8 7 6 5 5 430 0*36 21 19 17 16 13 12 11 10 9 8 7 6 5 5 431 0.39 20 18 17 15 13 12 11 10 9 8 7 6 5 5 432 0.40 20 18 16 15 13 11 10 9 8 8 7 6 5 5 433 0.41 19 17 16 14 12 11 10 9 8 7 7 6 5 4 434 0.42 19 17 15 14 12 11 10 9 8 7 6 5 5 4 435 0.44 18 16 15 13 11 10 9 9 8 7 6 5 5 4 436 0.45 17 16 14 13 11 10 9 8 8 7 6 5 5 4 437 0.46 17 "5 14 12 11 10 9 8 7 7 6 5 5 4 438 0.47 16 15 14 12 10 9 9 8 7 7 6 5 5 4 439 0.49 16 14 13 12 10 9 A 8 7 6 6 5 4 4 440 0.50 15 14 13 11 10 9 8 8 7 6 6 5 4 4 441 0.51 15 .14 12 11 10 9 8 7 7 6 6 5 4 4 442 0.5? 15 13 12 11 9 9 8 7 7 6 5 5 4 4 443 0.54 14 13 12 11 9 8 8 7 6 6 5 4 4 4 I44 0,55 14 13 11 10 9 8 7 7 6 6 5 5 4 4 445 0.56 13 12 11 10 9 8 7 7 6 6 5 5 4 4 446 0.57 1 12 11 10 9 8 7 7 6 6 5 4 4 4 447 C.59 13 12 11 10 8 8 7 6 6 5 5 4 4 4 448 0.60 12 11 10 9 8 7 7 6 6 5 5 4 4 4 449 0.61 12 11 10 9 8 7 7 6 6 5 5 4 4 4 450 0.63 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4

A-83

Page 104: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR- 504

LOT SIZE " 80A(rCEPTANCF NUMRFR = 3

PCT, PROBABILITY OF ACCEPTANCE 7 (OR RDEF. 001 *025 s05 .10 .20 .30 &40 o50 s60 .70 .80 a'O .95 .975 .99

0.64 11 10 10 9 8 7 6 6 6 5 5 4 4 4 40.65 ii 10 9 8 7 7 6 6 5 5 5 4 4 4 40.66 11 10 9 8 7 7 6 6 5 5 5 4 4 4 40.67 11 10 9 8 7 6 6 6 5 5 5 4 4 4 40,69 10 9 9 8 7 6 6 6 5 5 4 4 4 4 40070 10 9 8 8 7 6 6 5 3 4 4 4 4 40.71 10 9 a 8 7 6 6 5 5 5 4 4 4. 40.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 40.74 9 9 8 7 6 6 5 5 5 5 4 4 4 4 40.75 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40.76 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40.77 9 8 7 7 6 6 5 5 5 4 4 4 4 4 40.79 8 8 7 7 6 5 5 5 5 4 4 4 4 4 40.80 8 8 7 6 6 5 5 5 4 4 4 4 4 4 40.81 8 7 7 6 6 5 5 5 4 4 4 4 4 4 40.82 8 7 7 6 6 5 5 5 4 4 4 4 4 4 40.84 8 7 7 6 5 5 5 5 4 4 4 4 4 4 40.85 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4086 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4

0e88 7 6 6 6 5 5 5 4, 4 4 4 4 4 4 40.89 7 6 6 5 5 5 4 4 4 4 4 4 4 4 40,90 7 f 6 5 5 5 4 4 4 4 4 4 4 4 40.91 6 6 6 5 5 5 4 4 4 4 4 4 a 4 40.92 6 6 5 5 5 4 4 4 4 4 4 4 4 4 40.94 6 6 5 5 5 4 4 a 4 4 4 4 4 4 40.95 5 5 5 5 4 4 4 4 4 4 4 4 4 4 40.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40.97 4 4 4 4 4 4 4 4 4 4. 4 4 4 4 4

0.99 4 4 4 4 4 4 4 4 4 & 4 4 4 4 4

1,00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-8~4

Page 105: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

PNAFI TR-504

SA'4PLE S1E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR Pa)

LMT SIZE x 85ACCEPTANCE NUMRER = 0 NO*

DEF

NO. PCT. PROBABIL!TY OF ACCEPTANCE 0 (OR PDFF*. DEi. .01 .025 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .9, .975 .99 51

5?

1 COO. 85 83 81 77 69 60 52 43 35 26 18 9 5 3 1 53

2 0.02 77 72 66 58 47 39 32 25 20 14 9 5 1 2 1 54

3 0.04 66 60 54 46 35 28 23 18 14 10 7 3 2 1 1 554 0.05 58 51 'A 5 37 28 22 18 14 11 a 5 3 2 1 1 56

5 0.06 5044 38 312318 14 11 9 6 4 2 1 1 1 576 0.07 45 38- 33 27 20 15 12 9 7 5 4 2 1 1 1 587 0.08 40 34 29 23 17 13 11 8 6 5 3 2 1 1 1 598 0.09 36'31 26 2115 12 9 7 6 4 3 2 1 1 1 609 0.11 33 28 23 19 14 11 8 6 5 4 2 1 1 1 1 61

"o 0.12 30 25 21 17 12 10 8 i 5 3 2 1 1 1 1 6?

11 0,13 28 23 20 16 11 9 7 5 4 3 2 1 I 1 63

12 0.1-4 26 21 18 14 10 8 6 5 4 3 2 1 1 1 64

13 0.15 24 20 17 13 10 7 6 5 4 3 2 1 1 1 1 65? 14 0.16 22 19 16 12 9 7 5 4 3 2 1 1 1 16615 0.18 21 17 15 12 8 6 5 4 3 2 2 1 1 1 1 67

16 0.19 20 16 14 11 8 6 5 4 3 2 2 1 1 1 6817 0.20 19 15 13 10 7 6 5 4 3 2 2 1 1 1 1 6918 0.21 18 15 12 10 7 5 4 3 3 2 1 1 1 1 1 119 0.22 17 14 12 9 7 5 4 3 3 2 1 1 1 1 1 7120 0.24 16 13 11 9 6 5 4 3 2 2 1 1 1 1 1 7221 0.25 15 12 10 8 6- 5 4 3 2 2 1 1 1 1 122 0.26 14 12 10 8 6 4 4 3 2 2 1 1 123 0.27 14 11 9 7 5 4 3 3 2 2 1 1 1 1 7524 0.28 13 11 9 7 5 4 3 3 2 2 1 1 1 7625 0.29 13 10 9 7 5 4 3 2 2 2 1 1 1 726 0.31 12 10 8 7 5 4 3 2 2 1 1 1 1 7827 0.32 12 10 8 6 5 4 3 2 2 1 1 1 1 1 1 8n28 0.33 11 9 8 6 4 3 3 2 2 1 1 1 1 1 1n29 0.34 1i 9 7 6 4 3 3 2 2 1 1 1 1 1 8130 0..35 10 9 7 6 4 3 3 2 2 1 1 1 i 1 8231 0.36 10 8 7 5 4 3 3 2 2 1 1 I 1 1 1 83

32 0.38 10 8 7 5 4 3 2 ? 2 1 1 1 1 1 1 3 8433 0.39 9 8 6 5 4 3 2 2 2 1 1 1 1 1534 0.40 9 7 b 5 4 3 2 2 2 1 1 1 1 1 135 0.41 9 7 6 5 3 3 2 2 1 1 1 1 1 136 0.42 8 7 6 5 3 3 z 2 1 1 1 137 0.44 8 , 6 4 3 3 2 2 1 11 1138 0.45 8 6 5 4 3 3 2 2 I 1 1 139 0.46 8 6 5 4 3 2 2 2 1 I 1 1 1 1

40 0.47 7 6 5 4 3 2 2 ? 1 141 J.48 7 6 5 4 3 2 2 2 1 1 1 1 1 1 142 0.49 / 6 5 4 3 2 2 2 1 1 1 1 1 143 0.51 7 6 N 4 3 2 2 1 1 1 1 1 1 144 0.52 7 5 5 4 3 2 2 1 1 1 1 1 1 1 I45 0.53 6 5 4 4 3 2 2 1 1 11 146 0.54 6 5 4 3 3 2 2 1 11 1 1 147 0.5ý 6 5 4 3 2 2 2 1 1 1 1 1 1 1 148 0.56 6 5 4 3 2 21 1 1 149 0a58 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1

4 5n 0.59 5 5 4 3 2 2 2 1 11

A-85

Page 106: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAPI TR-504 I

LMT SIZE = 85 TA"CEPTANCF NUMBER 0

PCT. PROBABILITY OF ACCEPTANCE 0 (OR Pa)-Fe DEF. .01 .025 .05 .10 .20 *30 .40 .50 .60 .70 .80 490 .95 .975 .99

0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1'2 0.61 5 4 . 3 2 2 1 1 1 1 1 1 1 1 1Ii3 0.62 5 4 4 3 2 2 1 1 1 1 I i i 1

o4 0.64 5 4 3 3 2 2 1 1 1 1 1 1 1 1 10.65 5 4 3 3 2 2 1 1 1 1 1 1 1 1 10.66 5 4 3 3 2 2 1 1 1 I 1 1 1 1 1

i7 0.67 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1i8 0968 4 4 ? 2 2 2 1 1 1 1 1 1 1 1 1

0.069 4 4 3 2 2 2 1 1 1 1 1 1 1 1 1 F0.71 4 3 3 2 2 1 1 1 1 1 1 i 1 1 1

01 0.72 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 r0.73 4 3 3 2 2 1 1 i 1 1 1 1 1 1 10.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1

t4 0.75 4 1 3 2 2 1 1 1 1 1 1 1 1 ' 1P5 0.76 4 ? 3 2 2 1 1 1 1 1 1 1 1 1

0.78 3 3 2 2 2 1 1 1 1 1 1 1 1 17 0.79 3 3 2 2 2 1 1 1 1 1 1 1 1 1 18 0.80 3 3 2 2 2 1 1 1 1 1 1 1 1 1 19 0.81 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1'0 0.82 3 3 2 2 1 1 1 J 1 1 1 1 1 1 11 0.84 3 3 2 2 1 1 1 1 1 1 1 1 12 0.85 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1

0.86 3 2 2 2 1 1 1 1 1 1 1 1 1'4 0.87 3 2 2 2 1 1 1 1 1 1 1 1 1 15 0088 3 2 ? 2 1 1 1 i 1 1 1 1 1 1 16 0.89 3 2 2 2 1 1 1 1 1 1 1 1 1 1 17 0.91 ? 2 2 1 1 1 1 1 1 1 1 1 1 18 0#92 2 2 2 1 1 1 1 1 1 ' 1 1 1 1 19 0.93 2 2 2 1 1 1 1 1 1 ' 1 1 1 1 1

0.94 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 I0.95 2 2 1 1 1 1 1 ; I I 1 1 1 1

2 0.96 2 2 1 1 1 1 1 1 1 1 1 1 1 1 13 0.98 2 1 1 1 1 1 1 1 1 1 1 1 1 1 14 0.99 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 d

5 1.00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

4

4

'I

el

A- 86

S. ... • + i ii • •

I I III I4

Page 107: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE S17E REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST (OR P

LOT SIZE - 85A(CEPTANCF NUMSFR a 1Noe S~DEF*

SP,0. {CT. PROBABILITY OF ACCEPTANCE 0 (OR Pa ) 52u)FFe DEF. 001 o025 005 .10 .20 .30 .40 .50 .60 e70 .80 090 995 o975 .99 52" ~53

1 0001 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 542 0002 84 84 83 81 77 72 66 61 54 47 39 28 20 14 9 553 0.04 80 77 74 69 61 54 49 43 37 32 25 17 12 9 6 56

574 0.05 73 68 64 58 50 43 38- 33 28 24 19 13 9 7 5 585 0.06 66 60 56 49 42 36 31 27 23 19 15 10 7 5 4 596 0.07 59 54 49 43 36 31 27 23 19 16 13 9 6 5 3 60

7 0.08 54 48 44 '38 31 27 23 20 17 14 11 7 5 4 3 68 0.09 49 44 39 34 28 24 8 17 15 12 10 7 5 4 3 619 0.11 45 40 36 31 25 21 18 16 13 11 9 6 4 3 2 62

. 10 0o12 42 37 33 28 23 19 16 14 12 10 8 5 4 3 2 6311 0.13 39 34 30 26 21 18 15 13 1. 9 7 5 4 3 2 6412 0.14 36 32 28 24 19 16 14 12 10 8 7 5 3 3 2 6513 0.15 34 29 26 22 1C 15 13 11 9 8 6 4 3 3 2 6614 0.16 31 28 24 21 1' 14 12 10 9 7 6 4 3 2 2 6715 0.18 30 26 23 19 16 13 11 10 8 7 5 4 3 2 2 6816 0.19 28 24 21 18 15 12 10 9 8 6 5 4 3 2 2 6917 0.20 26 23 20 17 14 12 10 8 7 6 5 3 " 2 2 1 70

7118 0.21 25 22 1,9 16 13 11 9 8 7 6 5 3 3 2 2 7219 0.22 24 21 18 15 12 10 9 8 6 5 4 3 3 2 2 7220 0.24 23 20 17 15 12 10 8 7 6 5 4 3 2 2 2I 2i 0.25 22 19 16 14 11 S 8 7 6 5 4 3 2 2 722 0.26 21 18 16 13 11 9 8 7 6 5 4 3 2 2 2 7523 0.27 20 17 15 13 10 9 7 6 5 5 4 3 2 2 2 76

p 24 0.28 19 16 14 12 10 8 7 6 5 4 4 3 2 2 2 77

25 0.29 I8 16 14 12 9 8 7 6 5 4 3 3 2 2 2 7826 0.31 17 15 13 11 9 6 7 6 5 4 3 3 2 2 2 7927 0.32 17 15 13 11 9 7 6 5 5 4 3 3 2 2 2 8028 0*33 16 14 12 10 8 7 6 5 4 4 3 2 2 2 2 8129 0.34 16 13 12 10 8 6 5 4 4 3 2 2 2 2 8230 0035 15 13 11 10 8 7 6 5 4 4 3 2 2 2 2 8331 0.36 14 13 11 9 7 6 5 5 4 4 3 2 2 2 2 84

32 0038 14 12 11 9 7 6 5 5 4 3 3 2 2 2 233 0.39 14 12 10 9 7 6 5 4 4 3 3 2 2 2 234 0.40 13 11 10 8 7 6 5 4 & 3 3 2 2 2 215 0.41 13 11 10 , 7 6 4 4 3 3 2 2 2 236 0,42 12 11 9 a 6 5 5 4 4 3 3 7 7 7 I37 0.44 12 10 9 8 6 5 5 4 3 3 3 2 2 2 238 0.45 12 10 9 7 6 5 4 4 3 3 3 2 2 2 239 0.46 11 10 8 7 6 5 4 & 3 3 2 2 ? 2 240 0.47 1V 9 8 7 6 5 4 4 3 3 2 7 2 2 241 0.,8 11 9 8 7 6 5 4 4 3 3 2 2 2 2 242 0.49 10 9 8 7 5 5 4 4 3 3 2 ? 2 2 243 0.51 10 9 8 6 5 4 4 3 3 3 2 2 2 2 2 I44 0.52 10 e 7 6 5 4 4 3 3 2 2 2 2 245 0053 9 8 7 6 5 4 4 3 3 3 2 2 2 7 246 0054 . 9 7 6 5 4 4 3 3 3 2 2 2 2 247 0.55 9 1 7 6 5 4 4 3 3 2 2 2 2 2 248 0.56 Q 7 7 6 5 4 4 3 3 2 2 2 2 2 249 0.58 8 7 6 5 S 4 3 3 3 2 2 2 2 2 250 1.59 8 7 6 5 4 4 3 3 3 2 2 2 2 2 2

A-87

Page 108: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5O1 4

Lf')T SIZE: 85ACCEPTANCE: NUMBER u 1I

PCTe PROBABILITY OF ACCEPTANCE (OR PaDEF. .01 *025 .05 .10 .20 .30 .40 *50 060 *70 o80 *90 .95 .975 .99

0.60 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20961 8 7 5 4 4 3 3 2 2 2 2I0.62 a 7 6 5 4 4 3 3 3 2 2 2 2 2 20s62 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20965 7 6 6 5 4 3 3 3 2 2 2 2 2 2 20.65 7 6 6 5 4 3 3 3 2 2 2 2 2 2 20*67 7 6 5 4 3 3 2 2 2 2 2I0.66 7 6 5 4 4 3 3 3 2 2 2 2 2 2 20.67 7 6 5 4 4 3 3 3 2 2 2 2 2 2 20.68 7 6 5 4 4 3 3 3 2 2 2 2 2 2 20.69 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2I0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 20.73 6 5 5 4 3 3 3 2 2- 2 2 2 2 2 20.75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 20.76 6 5 5 4 3 3 3 2 2 2 2 2 2 2 20.76 6 5 4 4 3 3 3 2 2 2 2 2 2 2 20.78 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2

0*80 5 4 4 3 3 2 2 2 2 2 210.79 5 5 4t 4 3 3 2 2 2 2 2 2 2 2 20.80 5 4 4 3 3 3 2 2 2 2 2 2 2 2 20.84 5 4 '4 3 3 3 2 2 2 2 2 2 2 2 20.82 5 -4 4 3 3 3 2 2 2 2 2 2 2 2 20.84 4 4 4 3 3 3 2 2 2 2 2 2 2 2 210.85 & 4 3 3 3 2 2 2 2 2 2 2 2 2 20.86 4 4 4 3 3 2 2 2 2 2 2 2 2 2 20*89 4 4 3 3 2 2 ? 2 2 2 210.871A 4 3 3 32 2 2 2 2 2 2 2 2 2 20.882 4 3 3 32 2 2 2 2 2 2 2 2 2 20891 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2

094 3 3 3 2 2 2 2 2 2 2 2 2 2 20.925 3 3 3 2 2 2 2 2 2 2 2 2 2 20.996 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

0.98 3 3 2 2 2 2 2 2 2 2 2 2 2 2 20.99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 21.00 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

A- 88

Page 109: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SI7E REQUIRED TO ACCEPT LOT WITH A PROEABILITY OF AT MOST 5 (OR Pa)

LOT SIZE a 85ArCEPTANCF NUMBER z 2 NO*

SDEF.NO, PCTo PROBABILITY OF ACCEPTANCE 0 (OR Pa 51DEF. DEF. *01 *025 *05 .10 .20 .30 o40 .50 .60 .70 *80 .90 .95 .975 .99 52

53I 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 42 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 55

0.04 83 83 83 83 79 76 72 68 63 58 51 40 32 26 20 564 0.05 81 79 77 73 67 62 58 53 "8 43 36 28 22 18 13 575 0.06 76 72 69 64 57 52 47 43 39 34 29 22 17 14 10 586 0.07 70 66 62 56 50 45 40 36 32 28 24 18 14 11 9 597 0.08 6' 60 55 50 44 39 35 31 28 24 20 15 12 10 7 608 0.09 59 55 50 45 39 35 31 28 24 21 18 13 11 8 7 619 0.11 55 50 46 41 35 31 28 25 22 19 16 12 9 8 6 6210 0.12 51 46 42 38 32 28 25 22 20 17 14 11 9 7 5 63

11 0:13 47 43 39 35 29 26 23 20 18 16 13 10 8 6 5 6412 0.14 44 40 36 32 27 24 21 19 16 14 12 9 7 6 5 6513 0.15 41 37 34 30 25 22 20 17 15 13 11 8 7 6 4 6614 0o16 39 35 3? 28 24 21 18 16 14 12 10 8 6 5 4 67is 0,18 37 33 30 26 22 19 17 15 13 12 10 7 6 5 4 6816 0.19 35 31 28 25 21 18 16 14 12 11 9 7 6 5 4 6917 0.20 33 2q 27 23 20 17 15 13 12 10 9 7 5 5 4 7018 0.21 31 28 25 22 19 16 14 13 11 10 8 6 5 4 4 7119 0.22 10 27 24 21 18 15 14 22 11 9 8 6 5 4 4 7220 0.24 28 25 23 20 17 15 13 11 10 9 7 6 5 4 3 7321 0,25 27 24 22 19 16 14 12 1l 10 8 7 6 5 4 3 7422 0#26 26 23 21 18 15 13 12 10 9 8 7 5 4 4 3 75

23 0.27 25 22 20 17 15 13 11 10 9 8 7 5 4 4 3 7624 0.28 21, 21 19 17 14 12 1! 10 8 7 6 5 4 4 3 7725 0.29 ?3 20 18 16 13 12 10 9 8 7 6 5 4 4 3 7826 0.31 22 20 18 15 !3 11 !0 9 8 7 6 5 4 3 3 7927 0.32 21 19 17 15 12 11 10 9 8 7 6 5 4 3 3 8028 0.33 20 18 16 14 12 10 9 8 7 6 6 4 4 3 3 8129 0.34 20 17 16 14 II 10 9 8 7 6 5 4 4 3 3 8230 0.35 19 17 15 13 11 10 9 8 7 6 5 4 4 3 3 8331 0.36 18 16 15 13 11 9 8 7 7 6 5 4 4 3 3 8432 0[38 18 16 14 12 10 9 8 7 6 6 5 4 3 3 3 8533 0*39 17 15 14 12 10 9 8 7 6 6 5 4 3 3 334 0.40 17 15 13 12 10 9 8 7 6 5 5 4 3 3 335 0.41 16 14 13 11 9 8 7 7 6 5 5 4 3 3 336 0.42 16 14 12 11 9 8 7 6 6 5 4 4 3 3 3 I37 0.44 15 13 121 9 a 7 6 5 5 4 4 3 3 338 0945 15 13 12 10 9 8 7 6 6 5 4 4 3 3 339 0946 14 13 11 10 8 7 7 6 5 5 4 4 3 3 340 0.4? 14 12 11 10 8 7 6 6 5 5 4 3 3 3 341 0.48 13 11 11 9 8 7 6 6 5 5 4 3 3 3 342 0.49 13 12 10 9 8 7 6 6 5 5 4 3 3 3 347 0.51 ! 11 10 9 8 7 6 5 5 4 4 3 3 3 3L 4 0.52 12 11 10 9 7 7 6 5 5 4 4 3 3 345 0.53 1? 11 10 8 7 6 6 5 5 4 4 3 1 3 i46 0.54 12 10 9 8 7 6 6 5 5 4 4 3 3 3 347 0.55 11 10 9 4 7 6 5 5 5 4 4 3 3 3 3 148 0.56 11 10 9 8 7 6 5 5 4 4 4 3 3 3 349 0,58 11 10 9 8 7 6 5 5 4 4 4 3 3 3 3so 0.59 11 9 8 7 ' 6 5 5 4 4 4 3 3 3 3

A~W)

Page 110: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5(4

LOT SIZE " 85ArCEPTANCF NUMBER x 2

PCT. PROBABILITY OF ACCEPTANCE 0 (OR PaDEFo. .01 .025 .05 .10 .20 .30 .40 .50 .60 .70 .80 o90 .95 o975 .99

0.60 10 9 8 7 6 6 5 5 4 4 3 3 3 3 30.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3 30.62 10 9 8 7 6 5 5 4 4 4 3 3 3 3 30.64 10 9 8 7 6 5 5 4 4 4 3 3 3 3 30,65 9 8 7 7 6 5 5 4 4 4 3 3 3 3 30.66 9 8 7 6 6 5 5 4 4 4 3 3 3 3 30.67 9 8 7 6 5 5 5 4 4 4 3 3 3 3 30.68 9 8 7 6 5 5 4 4 4 3 3 3 3 3 30.69 8 8 7 6 5 5 4 4 4 3 3 3 3 3 30.71 8 7 7 6 5 5 4 4 4 3 3 3 3 " 30.72 8 7 7 6 5 5 4 4 4 3 3 3 13 3 30.73 8 7 6 6 5 4 4 4 4 3 3 3 3 3 30.74 8 7 6 6 5 4 4 4 3 3 3 3 3 3 30.75 7 7 6 5 5 4 4 4 3 3 3 3 3 3 30.76 7 7 6 5 5 4 4 4 3 3 3 3 3 3 30078 7 6 6 5 5 4 4 4 3 3 3 3 3 3 30.79 7 6 6 5 4 4 4 4 3 3 3 3 3 3 30.80 7 6 6 5 4 4 4 3 3 3 3 3 3 3 30.81 7 6 5 5 4 4 4 3 3 3 3 3 3 3 30482 6 6 5 5 4 4 4 3 3 3 3 3 3 3 30.84 6 6 5 5 4 4 4 3 3 3 3 3 3 3 30.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 30.86 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.87 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.88 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.89 5 5 5 4 4 3 3 3 3 3 3 3 3 3 30.91 5 5 4 4 4 3 3 3 3 3 3 3 3 30.92 5 5 4 4 4 3 3 3 3 3 3 3 3 3 30.93 5 4 4, 4 3 3 3 3 3 3 3 3 3 3 30.94 5 4 4 4 3 3 3 3 3 3 3 3 3 3 30.95 4 4 -4 4 3 3 3 3 3 3 3 3 3 30.96 4 4 4 4 3 3 3 3 3 3 3 3 3 3 30.98 3 3 3 3 3 3 3 3 3 3 3 3 3 30099 3 3 3 3 3 3 3 3 3 3 3 3 3 3 31,00 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A111

A-Q)O

Page 111: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

f NAFI TR-504

SAMPLE SIE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pal

I LOT SIZE a 85ACCEPTANCE NUMBER 3

,,pF,

NO. PCTo PROBABILITY OF ACCEPTANCE 8 (OR Pa )DEF. DEr .01 .o025 05 .10 .20 .30 .o40 50 *60 e70 .80 .90 .95 .975 .99 521 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT I2 0.04 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 553 0.04 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 3 564 0.05 52 82 82 82 81 78 75 72 68 64 58 49 41 35 28 575 0.06 RI 80 79 76 71 67 63 59 55 50 44 37 30 26 20 586 0.07 7774 72 68 62 58 54 50 46 41 36 30 24 20 16 59Sc.08 72 68 65 61 55 51 47 43 39 35 31 25 21 17 14 61a 0.09 67 63 60 55 50 45 41 38 34 31 27 22 18 15 12 619 0011 63 58 55 51 45 41 37 34 31 27 24 19 16 13 11 67

10 0.12 59 54 51 46 41 37 34 31 28 25 21 17 14 12 10 63r 0.13 55 50 47 43 38 34 31 28 25 22 19 16 13 11 9 641 12 0.14 51 47 44 40 35 31 28 26 23 21 18 14 12 10 8 6513 0.15 48 44 41 37 32 29 26 24 21 19 16 13 11 9 8 66r 14 0.16 46 41 38 35 30 27 24 22 20 18 15 12 10 9 7 3 6715 0.18 43 39 36 33 28 25 23 21 19 17 14 12 10 8 7 6816 0.19 41 37 34 31 27 24 21 19 17 16 1- 11 9 8 6 6917 0.20 39 35 32 29 25 22 20 18 16 15 13 10 9 7 6 7r)f 18 0.21 37 33 31 28 24 21 19 17 16 14 12 10 8 7 6 7119 0.22 35 31 29 26 23 2C 18 16 15 13 11 9 8 7 6 7220 0.24 34 30 28 25 21 19 17 16 14 13 11 9 8 6 5 73.21 0.25 32 28 27 24 20 18 16 15 13 12 10 9 7 6 5 I 7422 0.26 '1 27 25 23 20 17 16 14 13 11 10 8 7 6 5 7523 0.27 30 26 24 22 1ýi 17 15 14 12 11 10 8 7 6 5 7624 0.28 28 25 23 21 17 16 14 13 12 11 9 8 6 6 5 '7725 0.29 7 24 22 20 17 15 14 13 11 10 9 7 6 6 5 7q26 0.31 26 23 22 19 17 15 13 12 11 10 q 7 6 5 5 7927 0.32 25 22 21 19 16 14 13 12 11 9 8 7 6 5 5 R128 0.33 24 21 20 18 15 14 12 11 10 9 8 7 6 5 4 l 8129 C,34 24 21 19 17 15 13 12 11 10 9 8 7 6 5 4 n 8230 0.35 23 20 19 17 14 13 12 11 10 9 8 6 5 5 4 8331 0.36 22 19 18 16 14 12 11 10 9 8 7 6 5 5 4 84f 32 0.38 21 19 17 16 1- 12 11 10 9 8 7 6 5 5 4 8533 0.39 21 18 17 35 13 12 11 10 9 8 7 6 5 5 434 0.40 20 18 16 15 13 11 10 9 8 8 7 6 5 5 435 0.41 19 17 16 14 12 11 10 9 8 7 7 6 5 4 4 I36 0.42 19 17 15 14 12 11 10 9 8 7 6 6 5 4 437 0.44 18 16 15 13 12 10 9 9 8 7 6 5 5 4 438 0.45 18 16 14 13 11 10 9 8 8 7 6 5 5 4 439 0.46 17 15 14 13 11 10 9 8 7 7 6 5 5 4 4 i40 0,47 17 15 14 12 11 10 9 8 I 7 6 S 5 4 441 0*4A 16 14 13 12 10 9 8 B 7 6 6 5 4. 4 441 0.49 16 14 13 12 10 9 8 8 7 6 6 5 4 4 443 C.51 15 14 13 11 10 9 8 7 7 6 6 5 4 4 45 ,44 0.52 15 13 12 1 o 10 9 8 7 7 6 5 5 4 4 445 0.53 15 13 12 11 9 a 8 7 7 6 5 5 4. 4 446 0.54 14 13 12 10 9 8 8 7 6 6 5 5 4 4 44.7 1*5's 14 17 11 10 9 8 7 7 6 6 S 5 4 4 448 0.56 13 12 11 10 9 8 7 7 6 6 5 5 4 4 449 0,5'8 13 12 11 10 9 8 7 7 6 6 5 4 4 4 45A 1.659 13 11 11 10 8 8 7 6 6 5 5 4 4 4 4

A- ().

Page 112: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAF TR-50,14

LrnT 5 1?E t 85ArCEPTANCF NU'ARFQ 3

)e PCT, PROBABILITY OF ACCEPTANCE 8 (OR Pa 9 -"-Fe DEr, *01 ,025 *05 .lO *20 .30 #40 ,50 *60 .70 .80 ,90 ,95 ,975 #99

0j .o60 12 1. iO 9 8 7 7 6 6 5 5 4 4 4 4'2 0.61 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4006? 12 11 10 9 8 7 7 6 6 5 5 4 4 4 44 0*6z 12 10 10 9 8 7 6 6 6 5 5 4 4 4 4i5 0.65 11 10 9 8 7 7 6 6 5 5 5 4 4 4 46 ý, * 66 i1 10 9 8 7 7 6 6 5 5 5 4 4 4 417 0*67 11 10 9 8 7 7 6 6 5 5 5 4 4 4 417 0.68 1] 9 9 8 7 6 6 6 5 5 5 4 4 4 489 0.69 I0 9 9 8 7 6 6 5 5 5 4 4 4 4 49c 0971 10 9 9 8 -7 6 6 5 5 5 4 4 4 4 411 0.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 40 073 10 9 8 7 6 6 6 5 5 5 4 4 4 4 43 0,74 9 8 8 7 6 6 5 5 5 5 4 4 4 4 44 0o75 9 8 8 7 6 6 5 5 5 4 4 4 4 4 45 0.76 9 8 7 7 6 6 5 5 5 4 4 4 4 4 46 0.78 9 8 7 7 6 6 5 5 5 4 4 4 4 4 47 0.79 8 8 7 7 6 5 5 5 5 4 4 4 4 4 48 0o79 8 7 7 6 6 5 5 5 4 4 4 4 4 4 49 0081 8 7 7 6 6 5 5 5 4 4 4 4 4 4 49 0.82 8 7 7 6 6- 5 5 5 4 4 4 4 4 4 4 J1 0,, 84 8 7 7 6 5 5 5 5 4 4 4 4 4 4 42 0845 7 7 6 6 5 5 5 4. 4 4 4 4 4 4 42 00.81 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 jS .087 7 6 6 6 5 5 5 4 4 4 4 4 4 44 0.88 7 6 6 6 5 5 4 4 4 4 4 4 4 4 46 0.89 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4

7 0.091 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4

8 r"*92 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4

9 r.91 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4('194 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4

1 0.95 5 5 5 5 4 4 4 4 4 4 4 4 4 4 40.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40.96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4* 099 4 4 4 4 4 4 4 4 4 4 4 4 4 4 45 1.00 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A

I

I•-9I

Page 113: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

f IAFI TER-504

SAMPLE 517FE REQUIRED TO ACCEPT LOT WITH A PROBAR'L!TY OF AT MOST e (Ok Pn)

LnT SIZE = 90ACCEPTANCF NUMBER z 0

L •~F,

NO. PrT, PROBABILITY OF ACCEPTANCE 0 (OR Pa5nFF. DEF. .01 e025 .05 .10 .20 .30 *40 *50 .60 .70 .80 *90 .95 .975 .99 51

1 0.01 90 88 9 6 82 73 64 55 46 37 28 19 10 5 3 10.02 81 76. 70 62 50 41 33 27 21 15 10 5 15

S0.00 70 61 57 48 37 30 24 19 14 10 7 4 2 1 1 34 0.•0 6i 54 47 39 30 23 19 15 11 8 5 3 2 1 1 56S0.06 53 46 40 33 25 19 15 12 9 7 4 2 1 1 156 0.07 47 41 35 28 21 16 13 10 8 6 4 2 1 1 1 8

[ 7 0.08 42 36 31 25 18 14 11 9 7 5 3 2 1 1 1 598 0.09 38 32 27 22 16 13 10 8 6 4 3 2 1 1 1 6B9 0.10 35 29 25 20 15 11 9 7 5 4 3 2 1 1 1 (110 0.11 32 27 23 18 13 10 8 6 5 3 2 1 1 1 1 5?

I 0.12 10 25 21 17 12 9 7 6 4 3 2 1 1 1 1 I 6!2 0.13 27 23 19 15 11 9 7 5 4 3 2 1 1 1 1 6413 0.14 26 21 18 14 10 8 6 5 4 3 2 1 1 1 1 6514 l 0.6 24 20 17 1310 7 6 5 3 3 2 1 11 1 1 661 17 27 19 15 12 9 7 5 4 3 2 2 1 1 1 1 67

16 '.18 21 17 15 12 8 6 5 4 3 2 2 1 1 1 1 6117 0.19 20 16 14 11 8 6 5 4 3 2 2 1 1 2. 1 69E 18 0.20 19 16 13 10 7 6 5 4 3 2 2 1 1 1 1

19 0.21 18 15 12 10 7 5 4 3 3 2 1 1 1 1 1 7120 0.22 17 14 12 9 7 5 4 3 3 2 1 1 1 1 1 7721 0.23 16 13 11 9 6 5 4 3 2 2 1 1 1 1 1 712? 0.24 15 13 11 8 6 5 4 3 2 2 1 1 1 1 123 0.26 15 12 10 8 6 4 4 3 2 2 1 1 1 1 1 7524 0.27 14 12 10 8 6 4 3 3 2 2 1 1 1 1 1 7625 0.28 14 11 9 7 5 4 3 3 2 2 1 1 1 1 78F 26 0.29 13 11 9 7 5 4 3 3 2 2 1 1 1 1 1 7827 0.30 1? 10 8 7 5 4 3 2 2 2 1 1 1 1 1 7928 0.31 12 10 8 6 5 4 3 2 2 1 1 1 1 1 1 Rn?9 C. o3? 12 9 8 6 5 4 3 2 2 1 1 1 1 1 1 qli 0.33 11 9 8 6 4 3 3 2 2 1 1 1 1 1 1 9231 0,34 11 9 7 6 4 3 3 2 2 1 1 1 1 1 1 Ri12 0.36 10 8 7 6 4 3 3 2 2 1 1 1 1 1 1 1 4li 0.37 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1 p34 0.38 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1 8635 0.39 9 8 6 5 4 3 2 2 2 1 1 1 1 1 1 1736 0.40 9 7 6 5 4 3 2 2 2 1 1 1 1 1 1 n837 0.41 9 7 6 5 3 3 2 2 1 1 1 1 1 1 1 no38 O.42 p 7 6 5 3 3 2 2 1 1 1 1 1 1 139 0.44 8 7 6 4 3 3 2 2 1 1 1 1 1 1 130 0.43 8 7 5 4 3 3 2 2 1 1 1 1 1 1 141 0.46 8 .6 5 4 3 2 2 2 1 1 1 1 1 1 1

9.47 7 6 5 4 3 2 2 2 1 1 143 0.48 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1

45 0.50 7 6 5 4 3 2 2 2 1 1 1 1 1 1 1T 46 0.51 7 5 4 3 2 2 1 1 1 1 1 147 0.52 6 5 4 4 3 2 2 1 1 1 1 1 1 1 '4A 0.53 6 5 4 3 3 2 2 1 1 1 1 1 1 1 149 n.54 6 5 4 3 3 2 2 1 1 1 1 1 1 150 0.56 6 5 4 3 2 2 2 1 1 1 1 1 1 1

A-93

Page 114: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFT TR-504

Lnv SIZE - 90ArCEPTANCF NUMPER = 0

PCT. PROBABILITY OF ACCEPTANCE 0 (OR ) -

Fe DEF. .01 *025 *05 .10 s20 *30 ,40 *50 o60 *70 *80 *90 .95 .975 o99

0.57 6 5 4 3 2 2 2 1 1 1 1 1 1 1 10.58 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1 I0.59 5 5 4 3 2 2 2 1 1 1 1 1 1 1 1

4 0.6" 5 4 4 3 2 2 2 1 1 1 1 1 1 1 1"".6i 5 '4 4 i 2 2 1 1 1 1

6 0.6? 5 4 4 3 2 2 1 i 1 1 1 1 1 1 17 0.63 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1

p.64 5 4 13 2 2 1 1 1 1 1 1 1 1 19 66 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1

0.67 5 4 3 3 2 2 1 1 1 1 1 1 1 1 11 1.68 4 4 3 3 2 2 1 1 1 1 1 1 1 1 1

2 0.69 4 4 3 2 2 2 1 1 1 1 1 1 1 1 13 0.70 4 3 3 2 2 2 1 1 1 1 1 1 1 1 14 0.71 4 3 3 2 2 1 1 1 1 1 1 1 1 1 15 0.72 4 3 3 2 2 1 1 1 1 1 1 1 1 1 16 .73 4 e3 4 2 2 1 1 1 i 1 1 1 1 1 17 .74 4 3 3 2 2 1 1 i 1 1 1 1 1 1 1

0.76 4 3 3 2 2 1 1 1 1 1 1 1 1 1 19 0.77 4 3 3 2 2 1 1 1 1 1 I 1 1 1 1

0.78 3 3 ? 2 2 1 1 1 1 1 1 1 1 1 1i 0*79 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1

3.80 1 3 2 2 2 1 1 1 1 1 1 1 1 1 13 0.81 3 3 2 2 1 1 1 1 1 1 1 1 1 1 14 0.82 3 3 2 2 1 1 1 1 1 1 1 1 1 1 15 0.83 3 3 2 2 1 1 1 1 1 1 1 1 1 1 16 0.o4 3 2 2 ! 1 1 1 1 1 17 0.Q6 3 1 7 2 1 1 1 1a 0.87 3 2 2 2 1 1 1 1 1 1 1 1 1 1 19 e308 2 2 2 1 1 1 1 1 1 1 1 1 1 1

)*99 3 2 2 2 1 1 1 1 1 1 1 1 1 11 ,I 90 2 2 2 2 l 1 1 1 1 1 1 1 1 1 ?

0.91 2 2 2 1 1 1 1 1 1 1 1 1 1 13 0.92 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1

".9i 2 ? ? 1 1 1 1 1 1 1 1 1 1 1 1.1 A , 1 1 1 1 1 1 1 1 1

6 0.96 2 2 1 1 1 1 1 1 1 1 1 1 1 1 17 0.97 2 ? 1 1 1 1 1 1 1 1 1 1 1 1 18 0.98 2 1 1 1 1 1 1 1 l 1 1 1 1 1 1

o 1 1 1 1 1 1 1 1 1 1 1 A1 • 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

A- 94

Page 115: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAY TR-504

- SAMPLE SITI REQUIREr) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 iOR Pa

LMT' SIZE = 90Arr;FTANrF NOPMPrQ = NO.

*FFF.

NC* PCT* PROBABILITY OF ACCEPTANCE 8 (OR Pa)"INFv. nrFF, 01 ,025 *05 .10 920 .30 .40 .50 *60 970 .80 .90 .95 .975 &99

1 0.01 SAMPLIMG PLAN MOT APPLIe-ABt.E - ACCEPT THE LOT 4S0.02 89 89 88 86 8! 76 70 614 58 50 41 29 21 15 10 251 0.0 85 82 78 73 64 58 51 46 40 33 27 18 1" 9 6 560.04 77 72 67 61 53 46 40 35 30 25 20 14 10 7 5 57

5 0.C6 69 64 59 52 44 38 33 29 24 20 16 11 8 6 4 5p6 0,07 63 57 52 46 38 33 28 24 20 17 13 9 7 5 3 597 0.08 57 51 46 40 11 28 24. 21 18 15 11 8 6 4 • 5 60

3 009 52 47 42 36 10 25 22 18 16 13 10 7 5 4 I 619 0.10 48 42 38 33 27 23 19 16 14 11 9 6 5 3 3 6?

10 0.11, 44 39 35 30 24 20 17 15 13 10 8 6 4 3 2 | 6311 0.12 41 36 32 27 22 19 16 14 11 9 7 5 4 3 2 i 641? 0 .3 38 32 10 25 20 17 15 12 11 9 7 5 4 " 2 65Ii 0.14 'A6 31 ?8 23 19 16 14 12 10 8 6 5 i 3 2 6614 0.16 33 29 26 22 18 15 13 11 9 8 6 4 3 3 2 I 6715 n.17 31 27 24 21 16 14 12 10 9 7 6 4 3 2 2 6916 0.18 1 26 23 19 15 13 11 9 8 7 5 4 3 2 2 6917 0.19 28 24 21 18 15 12 10 9 8 6 5 4 3 2 2 | 7018 .0o20 27 23 20 17 14 12 10 8 7 6 5 3 34 2 2 7119 0.21 25 22 1.9 16 13 I1 9 9 7 6 5 1 3 2 2 7?2C 0o22 24 21 18 16 12 10 9 8 6 5 4 3 3 2 2 7321 0.23 23 20 17 15 12 10 9 7 6 5 4 3 2 2 2 74?7 0.24 22 19 17 14 11 10 8 7 6 5 4 3 2 2 2 I 75

i1 , 18 16 13 11 9 8 7 6 5 4 3 2 2 2 7,'4 12 7 2 17 15 ]i 10 9 7 6 5 1, 4 3 2 ? 2 * 777 5 0,78 19 17 15 12 10 8 7 6 5 4 4 3 2 7 2 78?6 n.29 19 16 14 12 10 8 7 6 5 4 3 3 ? 2 2 7q27 0.30 I8 15 1,4 11 9 p 7 6 5 4 3 3 2 2 2 8c

p 0.31 17 1• r .l ii 9 7 6 6 5 4 3 3 2 2 2 I 8129 0.32 17 14 13 11 9 7 6 5 5 4 3 2 2 2 2 8'3. 0.33 16 14 12 10 8 7 6 5 4 4 3 2 2 2 231 .34 15 13 12 10 8 7 6 5 4 4 3 2 2 2 2 432 0.36 15 13 11 10 8 7 6 S 4 4 3 2 2 2 2 133 ,307 14 12 11 9 7 6 5 5 4 3 1 2 2 2 2 '34 0.38 14 12 11 9 7 6 5 ! 4 3 3 2 2 2 235 0.,9 14 12 10 9 7 6 5 4 4 3 3 2 2 2 2 4 q116 C.4r, 13 11 i 0 8 " 6 5 4 4 3 3 2 , 2 ,

0- 0o41 13 1 . 1 8 7 6 5 4 4 3 1 7 7 2?^ .2 17 11 9 8 6 5 5 4 4 1 3 p 1 ' 1

19 0.43 12 10 9 8 6 5 5 4 4 3 3 2 z4 0o44 12 in 9 7 6 5 4 4 3 3 3 7 2 241 0.46 11 19 9 7 6 5 4 4 3 3 2 2 2 2 242 0.47 11 9 8 7 6 5 4 4 3 3 2 2 2 2 144 n049 10 9 8 7 5 5 4 4 3 3 2 2 2 ? 245 0.50 10 9 8 7 5 5 4 4 3 3 2 2 2 246 0.51 10 9 7 6 S 4 4 3 3 3 2 2 2 2 247 0,5? I0 8 7 6 S 4 4 3 3 3 2 2 2 2 24P 'n.53 9 A 7 6 5 4 4 3 3 3 2 2 2 2 749 '.*54 9 a 7 6 5 4 4 3 3 3 2 2 2 2 75m C056 9 8 7 6 5 4 16 3 3 2 2 2 2 2 2

A-95

Page 116: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR- 5 04

Le)T SIZF = 90ArCFPTANCF NUMBER a I

PCT, PROBABILITY OF ACCEPTANCE B (OR Pa )fiFF, .01 *025 ,05 .10 *20 .30 .40 ,50 s60 .70 .80 o90 .95 .975 o99

P0 57 9 7 7 6 5 4 3 3 3 2 2 2 2 2 20058 8 7 6 5 5 4 3 3 3 2 2 2 2 2 2(,59 8 7 6 5 4 4 3 3 3 2 2 2 2 2 71.6(, 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.61 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.62 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 20.64 7 6 6 5 4 3 3 3 2 2 2 2 2 2 2C@66 7 6 5 5 4 3 3 3 2 2 2 2 2 2 2e.67 7 6 5 5 4 3 3 3 2 2 2 2 ? 2 20068 7 6 5 4 4 3 3 3 2 2 2 2 2 2 20,69 7 6 5 4 4 3 3 3 2 2 2 2 2 2 2!.70 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2Co.7 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2C.7? 6 5 5 4 3 3 3 2 2 2 2 2 2 2 20,73 6 4 5 4 3 3 3. 2 2 2 2 2 2 2 2"-. 74 6 5 4 4 3 3 3 2 2 2 2 2 2 2 20.76 6 • '4 4 3 3 3 2 2 2 2 2 2 2 20.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 20.78 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2,.79 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2

0.80 5 4 4 4 1 3 2 2 2 2 2 7 7 2 20.5' 5 4 '4 3 3 3 2 2 2 2 2 2 2 2 20.82 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2

""91 ci 4 4 3 3 3 2 2 2 2 2 2 2 2 25.n 4 • 4 4 3 3 2 2 2 2 2 2 2 2 2 2

"n.86 4 4 4 3 3 2 2 2 2 2 2 2 2 2 20.87 4 ", 3 3 3 2 2 2 2 2 2 2 2 2 2C.88 4 4 3 3 3 2 2 2 2 2 2 2 2 2 20.89 4 4 3 3 3 2 2 2 2 2 2 2 ; 2 20.9n 4 4 3 3 2 2 2 2 2 2 2 2 2 2 20.91 4 1 3 3 2 2 2 2 2 2 2 2 2 2 20.92 4 , 3 3 2 2 2 2 2 2 2 2 2 2 2""43 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2

"3).94 2 2 2 2 2 2 2 2 7 2 2,96 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2M,9? 7% 1 7 2 7 7 2 7 7 7 2

0.98 1 3 ? 2 2 2 2 7 7 2 ? 2 2 7 2"M099 2 7 7 2 7 2 2 2 7 2 2 2 2 2 71.0 0!1 2 2 2 2 2 2 2 7 2 2 2 7 7 2

Page 117: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

N 5I T- 5o4

SAMPLF <17F REOUIRFi) TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

L•T SIZE 90ArCFPTANCF NUJMAFQ = 2

SNO,

""n, prT. PROBAPILITY OF ACCEPTANCE 5 (OR P )0 r. c DF. 901 9025 .05 .10 .20 .30 .40 *50 o60 .70 ,80 *90 o95 .975 s99

I ' 9,0 ! eAMPL ING PLAN NOT APPLICABLE - ACCEPT 'THE LOT If*.07 SA"PLING PLAN NOT APPLICAOLE - ACCEPT THF LOTC 0 1.03 888 8 V87 84 81 77 72 67 61 54 41 3 28 21

o f%4 86 84 P1 71 71 f6 61 56 51 45 38 30 24 19 14 I5 0.06 8O 77 73 68 61 55 50 46 41 36 30 23 18 14 116 0.07 74 69 65 60 53 47 43 38 34 30 25 19 15 12 9

T t .O8 68 63 59 53 46 41 37 31 29 26 21 16 13 10 8 54"A 009 6A 59 53 48 41 37 33 29 26 22 19 14 11 9 7 A9 .Vn 58 53 49 44 37 33 29 26 23 20 17 13 10 8 6 6

1^ roil 54 49 45 40 34 30 27 24 21 18 15 11 9 7 6 6:U! 0.?2 5n 45 41 37 ?1 27 24 22 19 16 14 10 8 7 5

4? 47 42 38 34 29 25 22 20 17 15 13 10 1 6 5 6'%: Y.14 4A 4M• 6 32 27 23 21 18 :6 14 12 9 7 6 5 6'

-- .16 41 37 34 30 25 22 19 17 15 13 11 8 7 5 415 0.17 39 35 32 23 23 20 18 16 14 12 10 8 6 5 4

37 33 30 26 22 19 17 15 13 11 10 7 6 5 6

S 0.aI 15 31 28 25 21 18 16 14 12 11 9 7 6 5 4i 8 0.?o 33 30 27 23 20 17 15 13 12 10 9 7 5 5 419 n.?1 3? 28 7 22 19 16 14 11 11 10 3 6 5 4 4 7

""2? 30 27 24 21 18 15 14 12 11 9 8 6 5 4 4? 0.73 •9 26 23 20 17 15 1' 12 10 9 7 6 5 4 3

)0.24 78 ?5 2' 19 16 14 12 11 10 8 7 6 5 4 37*2( 26 24 21 18 15 13 12 11 9 9 7 5 5 4 3 7'

'4 ¾?' 25 23 20 18 15 13 11 10 9 8 7 5 4 4 324l0s 2 22 '9 17 14 12 11 )0 9 8 6 5 4 4 3

.?) 23 21 19 16 14 12 11 9 8 7 6 5 4 4 317 0*. 23 20 18 16 13 11 10 9 8 7 6 5 4 4 3 7c

293 0.31 22 19 17 15 13 111 1 9 8 7 6 5 4 3 329 9 .32 21 19 17 15 12 1i i 8 7 7 6 5 4 3 3 81

C931 2C 18 16 14 12 10 9 8 7 6 5 4 4 3 334 r 20 17 16 14. 11 10 9 8 7 > 5 4 4 3 3

0.36 19 17 15 13 11 10 9 8 7 6 5 4 4 3 30 I .3' 18 16 15 13 11 9 8 7 7 6 5 4 4 3 3

34 0.38 18 16 14 12 10 9 8 7 6 6 5 4 3 3 30.30 17 15 14 12 10 9 8 7 6 6 5 4 3 3 3

17 15 13 12 10 9 8 7 6 5 5 4 3 3 3u7 C.41 16 14 13 11 9 8 7 7 6 5 5 4 3 3 3

?8 %,42 16 14 12 11 9 8 7 6 6 5 4 4 3 3 3 9"30 A,,43 '5 14 12 11 9 8 7 6 6 5 4 4 1 3 341- 0.44 15 13 12 10 9 8 7 6 6 5 4 4 3 3 141 0.46 14 13 11 10 8 7 7 6 5 5 4 4 3 3 34? 0.47 14 12 11 10 8 7 7 6 5 5 4 4 3 3 343 0.48 14 12 11 10 8 7 6 6 5 5 4 3 3 344 0.49 13 12 i1 9 8 7 6 6 5 5 4 3 3 3 345 0.5) 13 11 10 9 8 7 f 6 5 4 4 3 3 3 3

0.5i 13 11 10 9 7 7 6 5 5 4 4 3 3 3 347 0.52 I? !1 10 9 7 6 6 5 5 4 4 3 3 3 308 005A 12 11 10 8 7 6 6 5 5 4 4 3 3 3 34, t.54 12 10 9 8 7 6 6 5 5 4 4 3 3 3 35 C .,56 11 10 9 a 7 6 5 5 5 4 4 3 3 ? 3

A-97

Page 118: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LOT 51E = 90ArCFP!ANCF NUMAER 2

10. PCT, PROBABILITY OF ACCEPTANCE ( (OR PaiFF. DEF. .01 ,02t) ,05 .10 .20 .30 *40 950 .60 o70 .80 *90 .95 ,975 *99

ýl 0.57 11 10 9 8 7 6 5 5 4 4 4 3 3 3 352 0.58 11 10 9 8 7 6 5 5 4 4 4 3 3 3 3 i0.59 11 9 8 7 6 6 5 5 4 4 4 3 3 3 354 0,61 10 9 8 7 6 6 5 5 4 4 3 3 3 3 355 0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3 3

56 062 10 9 8 7 6 5 5 4 4 4 3 3 3 3 357 0.63 10 9 8 7 6 5 5 4 4 4 3 3 3 3 358 0.64 9 8 8 7 6 5 5 4 4 4 3 3 3 3 359 0.66 9 8 7 7 6 5 5 4 4 4 3 3 3 3 3

A M67 9 8 7 6 6 5 5 4 4 4 3 3 3 3 361 0.68 9 8 7 6 5 4 4 4 3 3 3 3 3 362 0.69 9 8 7 6 5 4 4 4 3 3 3 3 3 363 0.70 8 7 7 6 5= 5 4 4 4 3 3 3 3 3 364 0.71 8 7 7 6 5 5 4 4 4 3 3 3 3 3 365 0.72 8 7 6 6 5 5 4 4 4 3 3 3 3 3 366 0,73 8 7 6 6 5 4 4' 4 4 3 3 3 3 3 367 0.74 8 7 6 6 5 4 4 4 3 3 3 3 3 3 368 0.76 " 7 6 5 5 4 4 4 3 3 3 3 3 3 369 0.77 " 6 6 5 5 4 4 4 3 3 3 3 3 3 37n 0.78 7 6 6 5 5 4 4 4 3 3 3 3 1 3 371 0.79 7 6 6 5 4 4 4 4 3 3 3 3 3 3 37? 0.80 7 6 6 5 4 4 4 3 3 3 3 3 3 3 373 0.81 7 6 5 5 4 4 4 3 3 3 3 3 3 3 374 0,82 6 6 5 5 4 4 4 3 3 3 3 3 `3 3 375 0.83 6 6 5 5 4 4 4 3 3 3 3 3 3 3 376 0,84 6 6 5 5 4 4 4 3 3 3 3 3 3 3 377 0.86 6 6 5 54 4 4 3 3 3 3 3 3 3 3 378 0.87 6 5 5 4 4 4 3 3 3 3 3 3 3 3 37Q 0.88 6 5 5 4 4 4 3 3 3 3 3 3 3 3 380 0.89 5 5 5 4 4 4 3 3 3 3 3 3 3 381 0,90 5 5 4 4 4 3 3 3 3 3 3 3 .3 3 38? 0.91 5 5 4 4 4 3 3 3 3 3 3 3 3 3 383 0.91 5 5 4 4 4 3 3 3 3 3 3 3 3 3 38 0.9? 5 5 4 4 4 3 3 3 3 3 3 3 3 3 384 0.94 5 4 4 4 3 3 1 * 3 3 3 3 3 3 386 0e.96 5 4 4 4 3 3 3 3 3 3 3 3 3 3 387 0,97 4 4 4 4 3 13 3 3 3 3 3 3 . 3

88 0.98 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3n9 0099 3 3 3 3 3 3 3 3 3 3 3 3 3 3 39t 1.00 3 3 3 3 3 3 3 3 3 3 3 3 i 3 3

A-98

Page 119: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

r NAl TR-504

5AMPLE S17F RFOUIRFn TO ACCEPT LOT WITH A PROBABILITY OF AT MOST B (OR P Ia

L0T SIZE 90ArCEPTANCF NUMBER z 3 NO*

rNo* PCT, PROBABILITY OF ACCEPTANCE B (OR Pa ) 51')FF DEFo .01 9025 .05 .10 ,20 .30 s40 o50 *60 o70 .80 .90 .95 .975 .99 57

52

1 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT r4? 0.0? SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 5r

SI 0o03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 564 60•4 87 87 87 87 86 83 80 76 72 68 61 52 44 37 30 575 0.06 86 83 83 80 75 71 67 62 58 53 47 39 32 27 22 5p6 OoO7 82 79 76 72 66 61 57 53 48 44 38 31 26 22 17 597 0.08 77 73 69 65 59 54 50 46 41 37 32 26 22 18 14 608 0.09 71 67 63 59 52 48 44 40 16 33 28 23 19 16 13 619 0010 66 62 58 54 47 43 39 36 32 29 25 20 17 14 11 6?

10 0.11 62 58 54 49 43 39 36 32 29 26 22 18 15 12 10 611! 0.12 58 54 50 45 40 36 33 30 27 24 20 16 14 11 9 641? 0.13 54 50 47 42 37 33 30 27 24 22 19 15 12 10 9 6513 0.14 51 47 43 39 34 31 28 *25 ?3 20 17 14 12 10 8 A614 0.16 48 44 41 37 32 29 26 23 21 19 16 13 11 9 7 6715 0.17 46 47 38 35 30 27 24 2? ?0 17 15 12 10 9 7 6s16 )0.q 43 40 36 33 28 25 23 21 18 16 14 11 10 8 7 6917 0.19 41 38 34 31 27 24 21 19 17 15 13 11 9 S 6 7n!A 0o?7 i9 36 33 29 25 22 20 18 16 15 13 10 9 7 6 719q 0o01 37 34 31 28 24 21 19 17 16 14 12 10 8 7 6 7?

200.22 16 32 30 26 23 20 18 17 15 13 11 9 8 7 6 73?1 0.23 34 31 28 25 22 19 17 16 14 13 11 9 8 7 6 74?2 0.24 33 30 27 24 21 18 17 15 14 12 10 9 7 6 5 75

0. 26?6 31 ?8 26 23 20 18 16 14 13 12 10 8 7 6 5 76?4 0.27 30 27 25 22 19 17 15 14 12 11 10 8 7 6 5 7725 0.?p 29 26 24 21 18 16 15 13 12 11 9 8 7 6 5 7A76 0.29 28 25 23 20 18 16 14 13 12 10 9 7 6 6 5 79" "? M.3" ?7 24 22 20 17 15 14 12 11 10 9 7 6 5 5 80

e0.3 26 ?1 21 19 1S 15 1.3 12 11 10 8 7 6 5 5 i1?9 0.3? 25 23 21 18 16 14 13 12 10 9 8 7 6 5 5 8)11 0.33 24 2? 20 18 15 14 12 11 10 9 8 7 6 5 4 8i11 0.34 23 21 19 17 15 13 12 11 10 9 8 6 6 5 4 R43? 0.36 23 2C 19 17 14 13 12 10 9 9 7 6 5 5 4 P5ii 00.7 2 20 18 16 14 12 11 10 9 8 7 6 5 5 4 86i 0.39 ?1 19 17 16 13 12 11 10 9 8 7 6 5 5 4 8735 0.39 21 19 17 15 13 12 11 10 9 8 7 6 5 5 4 9A26 0.40 20 18 16 15 13 11 10 9 8 8 7 6 5 5 4 8937 0.41 19 18 16 14 12 11 10 9 8 7 7 6 5 4 4 9"38 0.42 19 17 15 14 12 11 10 9 8 7 6 6 5 4 419 143 18 17 15 13 1? 10 9 9 & 7 6 5 5 4 44P 0.44 18 16 15 '3 11 10 9 8 8 7 6 5 5 4 441 0.46 17 16 14 L3 11 10 9 8 7 7 6 5 5 4 44 0.47 17 15 14 12 11 10 9 8 7 7 6 5 5 4 443 Oo49 16 15 13 12 10 9 9 8 7 7 6 5 5 4 444 0.49 16 14 13 12 10 9 8 8 7 6 6 5 4 4 445 0.05 16 14 13 11 10 9 8 8 7 6 6 5 4 4 446 0.51 15 14 13 11 10 9 8 7 7 6 6 5 4 4 447 0.5? 15 13 12 11 9 9 8 7 7 6 5 5 4 4 44- 0.51 14 13 12 11 9 8 8 7 6 6 5 5 4 4 44P 0.54 14 13 12 10 9 8 c 7 6 6 5 5 4 4 45m 0.56 14 12 11 10 9 8 7 7 6 6 5 5 4 4 4

A-09

Page 120: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LnT SIZE m 90Ar'CEPTANCF NUMBER 3

PCT, PROBABILITY OF ACCEPTANCE 0 (OR PaDEF, .01 *025 ,05 .10 ,20 ,30 .40 .50 ,60 .70 .80 .90 ,95 .975 .99

0.57 13 12 11 10 9 8 7 7 6 6 5 5 4 4 4I)S 143 12 11 10 8 8 ? 7 6 6 5 4 4 4 40.59 13 12 11 10 8 8 7 6 6 5 5 4 4 4 4n,65 17 11 in 9 8 8 7 6 6 5 5 4 4 4 4

1.62 I; 11 10 9 8 7 7 6 6 5 5 4 4 4 40.62 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4

0o63 12 11 10 9 8 7 6 6 6 5 5 4 4 4 40.64 11 10 9 9 8 7 6 6 5 5 5 4 4 4 40.66 11 10 9 8 7 7 6 6 5 5 5 4 4 4 40.67 II 10 9 8 7 7 6 6 5 5 5 4 4 4 40.68 11 10 9 8 7 6 6 6 5 5 4 4 4 4 40.69 10 9 9 8 7 6 6 5 5 5 4 4 4 4 40.70 10 9 8 8 7 6 6 5 5 5 4 4 4 4 40.71 10 9 8 8 7 6 6 5 5 5 4 4 4 4 4',72 10 9 8 7 7 6 6 5 5 S 4 4 4 4 40,7l 9 9 8 7 6 6 6 5 5 5 4 4 4 4 4n,74 9 8 a 7 6 6 5 .5 5 .5 4 it 4 4 4n.76 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40.77 9 8 7 7 6 6 5 5 5 4 4 4 4 4 40,78 9 8 7 7 6 6 5 5 5 4 4 4 4 4 40.179 8 8 7 7 6 5 5 5 5 4 4 4 4 4 40.80 8 8 7 6 6 5 5 5 4 4 4 4 4 4 40.81 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4 In,82 8 7 7 6 6 5 5 5 4 4 4 4 4 4 4

0091 8 7 7 6 5 5 5 5 4 4 4 4 4 4 4".,84 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4

S0.86 7 i 6 6 5 5 5 4 4 4 4 4 4 4 4n,87 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4n,88 7 6 6 6 5 5 5 4 4 4 4 4 4 4 40.89 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4(,9r 7 6 6 5 5 5 4 4 4 4 4 4 4 4 40*91 6 6 6 5 5 5 4 4 4 4 4 4 4 4 40.92 6 6 5 5 5 4 4 4 4 4 4 4 4 4 40.91 6 f 5 5 5 4 4 4 4 4 4 4 4 4 40.94 6 5 5 5 5 4 4 4 4 4 4 4 4 4 40.96 5 5 5 5 4 4 4 4 4 4 4 4 4 4 40*97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40.98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40M99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4I 0r, 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A1t

A-100I

Page 121: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-5o4

5AMPLF 517 REQUIPED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 8 (OR Pa)

LnT SIZE a 95

ArCEPTANCE NUMBFR a 0

NO.NO. PCT, PROBABILITY OF ACCEPTANCE 8 (OR Pa rFFo

fmF* DEF. .01 .025 .05 .10 *20 .30 .40 .50 .60 *70 .80 .90 .95 .975 .99

i .o01 95 93 91 86 7767 58 48 9 29 IC 5 3 12 0.02 86 So 74 65 53 43 35 28 22 16 10 5 3 2 13 0.03 74 67 60 51 40 32 25 20 15 11 7 4 2 1 1 554 .,04 64 57 50 41 31 25 20 15 12 8 6 3 2 1 1 65 0.05 56 49 42 35 26 20 16 13 10 7 5 2 1 1 1 56 0.06 50 43 37 30 22 17 14 11 8 6 4 2 1 1 1 577 0.07 45 38 33 26 19 15 12 9 7 5 3 2 1 1 18 0.0e 41 34 29 23 17 13 10 8 6 4 3 2 1 1 1 6P9 0009 37 31 26 21 15 12 9 7 6 4 3 2 1 1 1In 0o1? 34 28 74 19 14 11 8 7 5 4 2 1 1 111 0.12 31 26 22 17 13 10 8 6 5 3 2 1 1 1 161? 0.13 ?9 24 20 16 12 9 7 6 4 3 2 1 1 1 1 63V2 0.04 27 2? 19 15 11 8 7 5 4 3 ? 1 1 1. 6514 n,1 ?5 21 18 14 in 8 6 5 4 1 2 1 1 1 1 6615 0.16 24 20 16 13 9 7 6 4 3 3 2 1 1 1 1 6716 0.17 27 148 15 12 9 7 5 4 3 2 2 1 1 1 1 611" 0.18 21 17 15 11 8 6 5 4 3 2 2 1 1 1 1 6918 0.19 20 16 14 11 8 6 5 4 3 2 2 1 1 1 1719 0.20 19 16 13 10 7 6 5 4 3 2 2 1 1 1 1 7120 0.21 18 15 1? 10 7 5 4 3 3 2 1 1 1 1 171 n.22 17 14 1? 9 7 5 4 4 3 2 1 1 1 7 17? 0.23 16 13 11 9 6 5 4 3 2 2 1 1 1 1 1 773 0.24 16 13 11 8 6 5 4 3 2 ' 1 1 1 1 1

74 0,25 1s 1? 10 8 6 5 4 1 2 2 1 1 1 1 125 C.26 14 12 10 8 6 4 3 3 2 2 1 1 1 1 1726 0.27 14 11 9 7 5 4 3 3 2 2 1 1 1 1 1 7727 (0.28 13 11 9 7 5 4 3 3 2 2 1 1 1 1 1728 n.29 13 10 9 7 5 4 3 2 2 2 1 1 1 1 1 729 0.31 12 10 8 7 5 4 3 2 2 1 1 1 1 1 1 m30 0.32 12 10 8 6 5 4 3 2 2 1 1 1 1 1 13 0.13 11 9 8 6 4 4 3 2 2 1 1 1 1 1 1 8?

1 0.3*4 1!. 9 8 6 4 3 3 2 2 1 1 1 1 1 1 A33 C.35 11 9 7 6 4 3 3 2 ? 1 1 1 1 1 1 A434 ro36 1m 8 7 6 4 3 1 2 2• 1 I 1 1 85- 0 S .37 10 8 7 5 4 3 2 2 2 1 1 1 1 1 1 t6

36 0.08 in 8 7 5 4 3 2 2 2 1 1 1 1 1 1 1.4737 0..'9 9 8 6 5 4 3 2 2 2 1 1 1 1 1 1 p

p 0o.4 9 7 6 5 4 3 2 2 2 1 1 1 1 1 139 .41 9 7 4 3 2 2 1.40 0.42 9 7 6 5 3 3 2 2 1 1 1 1 1 1 1 9 941 0.43 8 7 6 4 3 3 2 2 1 1 1 1 1 1 142 0.44 8 7 5 4 3 3 2 2 1 1 1 1 1 1 1 143 0.45 A 6 5 4 3 2 2 2 1 1 1 1 1 144 0.46 8 6 5 4 3 2 2 2 1 1 1 1 1 1 1 945 0.47 7 6 5 4 3 2 2 2 1 1 1 1 1 1 146 0.48 7 6 5 4 3 2 2 2 1 1 1 1 1 1 147 0.49 7 6 5 4 3 2 2 2 1 1 1 1 1 1 149 0.5? 7 £ 5 4 3 2 2 1 1 1 1 1 1 1 150 no5 6 4 4 4 3 2 2 1 1 1 1 1 1 1 1

A-101

Page 122: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504 i

LIVT SIZE * 95 1TArCEPTANCE NUMBER a 0

PCT. PROBABILITY OF ACCEPTANCE (OR Pa'DFF, .01 .025 .05 ,10 *20 .30 .40 o50 ,60 .70 *80 .90 .95 0975 .99

0.54 6 5 4 3 3 2 2 1 1 1 1 1 1 1 10,55 6 5 4 3 3 2 2 1 1 1 1 1 1 1 1

S 4 3 2 2 2 1 1 1 1 1 1 1 10.57 6 5 4 3 2 2 2 1 1 1 1 1 1 1 10o.58 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1065,0 5 5 4 3 2 2 2 1 1 1 1 1 1 1 1O.6O 5 4 4 3 2 2 2 1 1 1 1 1 1 1 10.60 5 4 4 3 2 2 1 1 1 1 1 1 1 1 1o.61 5 4 4 3 2'l 2 1 1 1 1 1 1 1 1 1

0.62 5 4 3 ? 2 2 1 1 1 1 1 1 1 1 10.64 5 4 3 3 2 2 1 1 1 1 1 1 1 1 10.64 4 3 3 2 2 1 1 1 1 1 1 1 1 10.76 5 4 3 3 2 2 1 1 1 1 1 1 1 1 10.67 5 4 3 3 2 2 1 1 1 1 1 1 1 1 10.o7 4 4 3 2 2 2 1 1 1 1 1 1 1 1 10.06 4 4 3 2 2 2 1 1 1 1 1 1 1 1 1 r0.79 4 4 3 2 2 1 1 1 1 1 1 1 1 1 10.71 4 3 ? 2 2 1 1 1 1 1 1 1 1 1 10.7? 4 3 3 2 2 1 1 1 1 1 1 1 1 1 10.97 4 3 3 2 2 1 1 1 1 1 1 1 1 1 10.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1 I0.46 3 3 2 2 1 1 1 1 1 1 1 1 1 10.77 4 3 3 2 2 1 1 1 1 1 1 1 1 1 10.77 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1f.7 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1

3 0 3 2 2 2 1 1 1 1 1 1 1 1 1 10.8c 3 3 2 2 1 1 1 1 1 1 1 1 1 1 10.81 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1!0.8?9 3 3 2 2 1 1 1 1 1 1 1 1 1 1 10.8 1 ? 3 2 2 1 1 1 1 1 1 1 1 1 1 10.08 3 2 2 ? 2 1 1 1 1 1 1 1 1 1 1 1 10.89 3 2 2 2 1 1 1 1 1 1 1 1 1 1 10.987 2 2 2 1 1 1 1 1 1 1 1 1 10.87 o 2 2 2 1 1 1 1 1 1 1 1 1-0.89 3 2 2 2 1 1 1 1 1 1 , 1 1 1 10.89j 3 2 2? 1 1 1 1 1 1 1

n697 7 2 1 1 1 1 1 1 1 1 1 1 1 1 l0o9? 2 2 1 1 1 1 1 1 1 1 1 1 1 1

I .00 ? 2 2 1 1 1 1 1 1 1 1 1 1 1 1" .

0.94 2 2 2 1 1 1 1 1 1 1 1 1 1 110.95 2 2 2 11 1 1 1 1 1 1 1 10.96 2 2 1 1 1 1 1 1 1 1 .~ 1 1 1 1M,97 2? 2 1 1 1 1 1 1 1 1 1 1 1 10.98 7 1 1 1 1 1 1 1 1 1 1 1 1 110.99 2 1 11

A-102

Page 123: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NA1I TR-504

SAMPLF 51?F REQUIRED TO ACCEPT LOT WITH A PROPABILITY OF AT MOST B (OR Pa)

LMT SIZE i 95ArCFPTANCF NUMBER = I

NO.,)FF.

NO. PCT. PROBABILITY OF ACCEPTANCE 0 (OR P )DEF* DEFo .01 o025 .05 .10 .20 .30 ,40 .50 o60 .70 .80 .90 o95 .975 .99

1 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT I2 0.02 94 94 93 91 86 80 74 68 61 53 43 31 22 16 10 513 0.03 89 86 82 77 68 61 54 48 42 35 28 19 14 10 7 554 0.04 81 76 71 65 55 49 41 37 32 26 21 14 10 7 55 09.05 71 68 6? 55 47 40 35 10 26 21 17 11 8 6 4 576 0.06 66 60 55 48 40 34 30 25 22 18 14 10 7 5 4 57 0.07 60 54 49 43 35 30 26 22 19 15 12 8 6 4 3 5Q8 0.08 55 49 44 38 31 26 23 19 16 13 11 7 5 4 3 609 0.09 50 45 40 34 28 24 20 17 15 12 9 7 5 4 3 61

10 0.11 47 41 37 31 26 22 18 16 13 11 9 6 4 3 2 6?1' 0.12 43 38 34 29 23 20 17 14 12 10 8 5 4 3 2 1 6312 0.13 40 35 31 27 22 18 15 13 11 9 7 5 4 3 2 64

il 0.14 38 31 29 25 2 f" 17 14 12 10 8 7 5 4 3 2 614 0.15 35 31 27 23 !9 16 13 11 10 8 6 4 3 3 2 26i5 0.06 33 29 76 ?2 17 15 1? 11 9 7 6 4 3 3 2 6716 0.17 31 27 24 20 16 14 12 10 8 7 6 4 3 2 2 6817 0.18 30 26 23 19 15 13 11 9 8 7 5 4 3 2 2 6918 0.19 98 25 21 18 15 12 10 9 8 6 5 4 3 2 21 7019 O,2t' 27 23 20 17 14 12 10 8 7 6 5 3 i 2 2 1 712f 0.21 26 22 19 16 13 11 9 8 7 6 5 3 i 2 2 7221 0.22 24 21 18 16 13 11 9 8 7 5 4 3 3 2 2 7322 0.23 23 20 18 15 12 10 9 7 6 5 4 3 2 2 2 * 74?1 0.24 22 19 17 14 11 10 8 7 6 5 4 3 2 2 2 75

/A 0,?5 21 19 16 14 11 9 8 7 6 5 4 3 2 2 2 76? .f*26 ? 18 is . 11 11 9 8 6 6 5 4 3 2 2 2 77

6 .,7 2m 17 15 13 10 8 7 6 5 4 4 3 7 2 2 787? 0,28 19 16 14 12 10 8 7 6 5 4 4 3 2 2 2 7928 0.29 18 16 14 12 9 8 7 6 • 4 3 3 2 2 2 80

?Q 0.31 18 15K 13 11 9 8 7 6 5 4 3 3 2 2 2 F30 0.32 17 15 13 11 9 7 6 5 5 4 3 3 2 2 2 823' 103i 16 14 12 10 8 7 6 5 5 4 3 2 7 2 2 833? 0034 16 14 1? 10 8 7 6 5 4 4 3 2 2 2 2 8433 0.35 1S 13 12 10 8 7 6 5 4 4 3 2 2 2 2 a34 0,16 1s 1.1 1 9 8 6 6 5 4 4 3 2 2 2 2 86"-5 0.3- 14 12 11 9 7 6 5 5 4 3 3 2 2 2 2 8736 0.3 14 12 11 9 7 6 5 5 4 3 2 2 2817 0.l 14 12 10 9 7 6 6 4 4 3 3 7 2 2 2 89I , ,., 1' 1 10 8 7 6 5 4 4 3 3 2 2 2 2 9039 0.41 13 11 10 8 7 6 5 4 4 3 3 2 2 2 2 9140 0,4? 12 11 9 8 6 5 5 4 4 3 3 2 2 2 2 9241 04, 17 10 9 8 6 5 5 4 4 3 3 2 2 2 2947 4, I 10 9 8 6 5 5 4 3 3 3 2 2 2 2 944 1 ,4 11 1 9 9 7 6 5 4 4 3 3 2 2 2 2 2 944 0.4A 11 1n 8 7 6 5 4 4 3 3 2 2 2 2 2 145 0,47 11 9 8 7 6 5 4 4 3 3 2 2 2 2 246 0.48 11 9 8 7 6 5 4 4 'A 3 2 2 2 2 247 0949 10 9 a 7 5 5 4 4 3 1 2 2 2 2 248 0.51 10 9 8 6 5 5 4 3 3 3 2 2 2 2 24q 0,57 10 8 7 6 5 4 4 3 3 3 2 2 2 2 25n 0.5? 9 8 7 6 5 4 4 i 2 ? 2 2 2

A-103

Page 124: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LAT SIE 95ArfFPTANCE NUMBER v 1

PCT, PROBABILITY OF ACCEPTANCE 0 (OR PaDEF. .01 6025 .05 .10 .20 *30 *40 .50 .60 .70 80 *90 ,95 .975 ,99

0#54 9 8 7 6 5 4 4 3 3 3 2 2 2 2 20.55 9 8 7 6 5 4 4 3 3 3 2 2 2 2 20.56 9 8 7 6 5 4 4 3 3 2 2 2 2 2 20.57 9 7 7 6 5 4 3 3 3 2 2 2 2 2 20.58 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.59 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.60 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.61 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.62 8 7 6 5 4 4 3 3 3 2 2 2 2 2 20.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 20.64 7 6 6 5 4 3 3 3 2 2 2 2 20.65 7 6 5 5 4 3 3 3 2 2 2 2 2 2 20.66 7 6 5 5 4 3 3 3 2 2 2 2 2 2 20.67 7 6 5 5 4 3 3 3 2 2 2 ? 7 2 20.68 7 6 5 4 4 3 3 3 2 2 2 2 2 2 2006Q 6 6 5 4 4 3 3 '3 2 2 2 2 2 2 20.71 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2

0.72 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2

0.73 6 5 a5 5 4 3 3 3 2 2 2 2 2 2 2 2

0.87 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2

0,875 6 5 4 3 3 3 2 2 2 2 2 2 2 2

0.76 6 5 it 4 3 3 3 2 2 2 2 2 2 2 20.77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2I0.8 5 5 4 4 3 3 2 2 2 2 2 2 2 2 20.79 5 5 4 4 3 3 2 2 2 2 2 2 2 2 20.80 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2

0.981 4 4 3 3 3 2 2 2 2 2 2 2 2 2AC.82 s 4 4 3 3 3 2 2 2 2 2 2 2 2 20.83 5 4 4 3 3 3 2 2 2 2 2 2 2 2 20.84 5 4 4 3 3 2 2 2 2 2 2 2 2 2 20.85 4 4 4 3 3 2 2 2 10 2 2 2 2 2 20.86 4 4 3 3 3 2 2 2 2 2 2 2 2 2 20.87 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2

0.88 4 4 3 3 3 2 2 2 2 2 2 2 2 2 20.89 4 4 3 3 3 2 2 2 2 2 2 2 2 2 20.91 4 3 3 3 2 2 2 2 2 2 2 2 2 2 20.92 4 3 3 3 2 2 2 7 2 2 2 2 2 20.93 4 3 3 ' 2 2 2 2 ? 2 2 2 2 2 20.94 1 3 3 3 2 2 2 2 2 2 2 2 2 2 2

1005 3 3 3 3 2 2 2 2 2 2 2 2 2 ? 20.96 3 3 3 2 2 2 2 2 1 2 2 2 2 2 20*97 3 1 3 2 2 2 2 2 2 2 2 2 2 2 20091 3 2 2 2 2 2 2 2 2 2 2 2 2 20.99 ? 2 2 2 2 2 2 2 2 2 2 2 2 2 21

2 7 2 22 2 2 2 2 7 2 2 2 2

A-'LS

Page 125: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE FI7E REOUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST B (OR Pa

LMT SIZE 95ArCFPTANCF NUMPFa 2

NO*DEF.

NO. PCT, PROBABILITY OF ACCEPTANCE 0 (OR P)D)EF. DEF, .01 9025 .05 .10 o20 .30 .40 ,50 .60 .70 .80 .90 995 ,975 .99 51

521 0.0] SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 532 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT 54

0903 93 93 93 92 89 85 81 76 71 64 56 45 36 29 22 554 0e04 91 89 86 82 75 70 64 59 53 47 41 31 25 20 15 56

5 0005 85 81 77 72 64 58 53 48 43 38 32 24 19 15 11 576 0.06 78 73 69 63 56 50 45 40 36 31 26 20 16 12 9 587 0.07 7? 67 62 56 49 44 39 35 31 27 23 17 13 11 8 59

r .o8 66 6! -56 51 44 39 35 11 27 74 ?0 15 12 9 7D 6019 o,9 61 56 51 46 39 35 31. 28 24 21 18 13 10 a 6 6

i0 0.1I -7 • 47 42 36 32 28 25 '2 19 16 12 9 8 6 6211 0.12 53 48 44 39 33 29 26 23 20 17 14 11 9 7 6312 0.13 50 45 41 36 30 27 24 21 18 16 13 10 8 6 64

13 0,14 46 42 38 33 28 25 22 19 17 15 12 9 7 6 5 6514 0.15 44 39 36 31 26 23 20 18 16 14 11 9 7 6 5 6615 0.16 41 37 33 29 25 22 19 17 15 13 11 8 7 5 4 5716 0.17 39 35 32 28 23 20 18 16 14 12 10 8 6 5 4 6817 0.18 37 33 30 26 22 19 11 15 13 11 10 7 6 5 4 6918 0.19 35 31 28 25 21 18 16 14 12 11 9 7 6 5 4 7019 0.20 34 30 ?7 23 20 17 15 11 12 10 9 7 5 5 4 71o0 0.21 32 28 26 22 19 16 14 13 11 10 8 6 5 4 4 72

21 0.22 3! 27 24 21 18 16 14 12 11 9 8 6 5 4 4 7322 0.23 29 26 ?3 20 17 15 13 12 10 9 8 6 5 4 3 7423 0284 28 25 22 19 16 14 13 11 10 9 7 6 4 4 3 7524 0.25 27 24 21 19 16 14 12 11 9 8 7 5 5 4 3 7625 0.26 26 2 21 18 15 13 12 10 9 8 7 5 4 4 3 7726 0.27 25 22 20 17 14 13 11 10 9 0 6 5 4 4 3 7827 0.28 24 21 19 17 14 12 11 10 8 7 6 5 4 4 3 7928 0.29 23 20 18 16 13 12 1i0 9 8 7 6 5 4 4 3 80

j 29 0.01 22 20 18 15 13 11 10 9 8 7 6 5 4 3 1 8130 0.32 2? 19 17 15 12 11 10 9 8 7 6 5 4 3 3 8731 0.33 21 18 17 14 12 11 9 8 7 6 6 4 4 3 1 8332 0.04 2n~ 18 16 14 12 10 9 a 7 6 5 4 4 3 3 8'9

33 0.35 20 17 15 13 11 10 9 8 7 6 5 4 4 3 3 8534 0.36 19 17 i5 13 11 10 9 8 7 6 5 4 4 31 3 8635 0.37 1 16 15 13 11 9 8 7 7 6 5 4 4 3 3 8736 0.38 18 16 14 12 10 9 8 7 6 6 5 4 3 3 3 8817 0,3Q 17 15 14 12 10 9 8 7 6 6 5 4 1 3 3 8938 0.40 17 15 13 12 10 9 8 7 6 5 5 4 3 i 3 9039 0.41 16 14 '3 11 9 8 7 7 6 5 5 4 3 3 3 j 9140 0.4? 16 14 13 11 9 8 7 6 6 5 5 4 3 3 S 9241 0.43 IS 14 12 11 9 8 7 6 6 5 4 4 , 3 3 9342 0.44 15 13 12 10 9 8 7 6 6 5 4 4 3 3 3 9441 0.45 1' 13 12 10 9 8 7 6 5 5 4 4 3 3 9544 0.46 14 13 11 10 8 7 7 6 5 5 4 4 3 3 345 0.47 14 12 11 10 8 7 6 6 5 5 4 3 3 i I46 0.48 13 12 11 9 8 7 6 6 5 5 4 3 3 3 347 0.49 13 12 10 9 8 7 6 6 5 4 4 3 3 3 348 0.51 13 11 10 9 8 7 6 5 5 4 4 3 3 3 349 0.52 13 11 10 9 7 7 6 5 5 4 4 3 3 3 350 0.53 1? 11 10 9 7 6 6 5 5 4 4 3 3 3 3

A-105

Page 126: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LOT SIZE m 95ACCEPTANCF NUMSFP a 2

PCT. PROBABILITY OF ACCEPTANCE _7(OR P IDEF, .01 ,025 .05 .10 .20 .30 *40 s50 .60 s70 .80 .90 o95 ,975 .99 -..

0.54 12 11 9 8 7 6 6 5 5 4 4~ 3 3 3 310.55 12 10 9 8 7 6 6 5 5 4 4 3 3 3 30.56 11 10 9 8 7 6 5 5 4 4 4 3 3 3 30.57 11 10 9 8 7 6 5 5 4 4 4 3 3 3 30.58 1i 10 9 8 7 6 5 5 4 4 4 3 3 3 3

0.609 11 9 8 7 6 6 5 5 4 4 3 3 3 3 3

0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 3 30.62 10 9 8 7 6 5 5 4 4 4 3 3 3 3 30963 10 9 8 7 6 5 5 4 4 4 3 3 3 3 30.64 9 8 8 7 6 5 5 4 4 4 3 3 3 3 30.65 9 8 7 7 6 5 5 4 4 4 3 3 3 3 30.66 9 8 7 6 6 5 5 4 4 4 3 3 3 3 30.67 9 8 7 6 5 5 4 4 4 3 3 3 3 3 30.68 9 8 7 6 5 5 4 4 4 3 3 3 3 3 30.69 8 8 7 6 5 5 4 4 4 3 3 3 3 3 30.71 R 7 7 6 5 5 4 4 4 3 3 3 1 3 30,72 q 7 7 6 5 5 4 4 4 3 3 3 3 3 30.713 7 6 6 5 5 4 4 4 3 3 3 3 3 30.74 q 7 6 6 5 4 4 4 4 3 3 3 3 3 30.15 8 7 6 6 5 4 4 4 3 3 3 3 3 3 30.76 7 7 6 5 5 4 4 4 3 3 3 3 3 3 30.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 30.78 ? 6 6 s 5 4 4 4 3 3 3 3 3 3 30.79 7 6 6 5 4 4 4 4 3 3 3 3 3 3 30.80 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3

0.81 7 6 5 5 4 4 4 3 3 3 3 3 3 3 30.82 6 6 , 5 4 4 4 3 3 3 3 3 3 3 30.83 6 6 5 5 4 4 4 3 3 3 3 3 3 3 30.84 6 6 5 5 4 4 4 3 3 3 3 3 3 3 30.85 6 5 5 5 4 4 3 3 3 3 3 3 3 3 30.86 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.87 6 5 5 4. 4 4 3 3 3 3 3 3 3 3 310.88 6 5 5 4 4 4 3 3 3 3 3 3 3 3 30.819 5 5 5 4 4 3 3 3 3 3 3 3 3 3 30.91 5 5 4 4 4 3 3 3 3 3 3 3 3 3 30,9? s 5 4 4 4 3 3 3 3 3 3 3 3 3 30093 5 5 4& 4 4 3 3 3 3 3 3 3 3 3 30.94 5 4 4 4 3 3 3 3 3 3 3 3 3 3 30.95 5 4 4 4 3 3 3 3 3 3 3 3 3 3 30.96 4 4 4 4 3 3 3 3 3 3 3 3 3 3 30.97 4 4 4 3 3 3 3 3 3 3 3 3 3 3 30098 3 3 3 3 3 3 3 3 3 3 3 3 3 3 30-99 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3looc 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A- 1061

Page 127: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST ( ,OR P,

iT LO'T SIZE a 95ACCEPTANCF NUMBER a 3

- NO.

NO. PCT. PROBABILITY OF ACCEPTANCE 0 (OR Pa ) EF.flEF, DEF, .01 .025 o05 .10 .20 o30 .40 .50 .60 *70 *80 .90 .95 .975 ,99

I 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0e02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT S44 0904 92 92 92 92 90 88 84 81 76 71 65 55 46 39 32 555 0.05 9! 90 88 85 79 75 70 66 61 56 49 41 34 28 23 566 0.06 87 84 80 76 70 65 60 56 51 46 40 33 27 23 18 577 0.07 81 77 73 68 62 57 52 48 44 39 34 28 23 19 1i 9a 0.08 75 71 67 62 55 50 46 42 38 34 30 24 20 16 133 599 0.09 70 66 62 57 50 45 41 38 34 30 26 21 17 15 12 60

10 0.11 66 61 57 52 46 41 ?8 34 31 27 24 19 16 11 11 62S11 0.12 61 57 91 48 A2 38 14 31 28 73 22 17 14 12 10 I 62

Ic ~ 06312 0*13 •R53 49 44 19 35 32 29 26 23 20 16 13 11 9 I 6413 0.14 5& 50 46 41 36 32 29 26 74 21 18 15 12 10 8 6514 0.15 51 47 43 39 ?4 30 27 25 22 20 17 14 11 10 8 * 66

i s 15 016 46 44 41 37 32 27 26 23 21 18 16 13 11 7 6716 0o17 46 42 48 34 30 27 24 22 19 17 15 12 10 8 717 0.18 4A 40 ?6 33 28 25 23 20 18 16 14 11 9 8 7 98

" 18 0.19 42 38 ?4 31 27 24 21 19 17 15 13 11 9 8 6 7019 0.20 40 36 33 29 25 23 20 18 16 15 13 10 9 7 6

7120 0.21 38 34 3] 28 24 21 19 17 16 14 12 10 8 7 6 7221 0.22 36 33 30 27 23 20 18 17 15 13 12 9 8 7 622 023 35 31 29 25 22 20 18 16 14 13 11 9 8 7 6 7

2I 0.24 33 30 27 24 21 19 17 15 14 12 11 9 7 6 5 7424 0.25 32 29 26 23 20 18 16 15 13 12 10 8 7 6 5 75

S 25 0.26 31 28 75 22 19 17 16 14 13 11 '10 8 7 6 5 I 76

26 0,27 30 27 24 22 19 17 15 13 1? 11 9 8 7 6 5 ' 76

27 0.28 29 26 23 21 18 16 14 13 12 '0 9 a 6 6 5 7928 0.29 28 25 23 20 17 15 14 13 11 10 9 7 6 5 S ,729 •013 27 24 22 19 17 15 13 12 11 10 9 7 6 5 5 8130 0.32 26 23 21 19 16 14 13 12 11 9 R 7 6 5 58231 0.33 25 22 20 18 16 14 13 11 10 9 8 7 6 5 5 83• 32 0,34 24 22 20 18 IS 13 12 11 10 9 4 7 6 5 4 ! 34I 3 0,3S 2ý 21 19 17 15 13 12 11 10 9 0 6 6 _ 4 as34 C*36 2' 20 18 16 14 13 11 10 9 8 7 6 5 5 435 0.3' 22 20 18 16 14 12 11 10 9 8 7 6 5 87PI 36 0.38 21 19 17 16 13 12 11 10 9 8 7 6 5 5 4 a37 0.39 21 19 17 15 13 12 11 10 9 8 7 6 5 5 4 88938 0.4C 2? 18 16 15 13 11 10 9 A 8 7 6 5 8939 0.41 2V 18 16 14 12 11 10 9 5 7 7 t 5 4 9040 0.42 14 17 16 14 12 11 10 9 8 7 6 6 5 4 441 0.43 19 1? 15 13 12 10 9 9 8 7 6 5 • 4 442 0.44 I 16 15 13 11 10 9 8 9 7 6 5 • 4 443 0.45 18 16 14 13 11 10 9 8 8 7 6 5 5 4 4 | 944 0.46 17 15 14 12 11 10 9 8 7 7 6 5 • 4 4 95

45 0.47 1? is 14 12 II 9 9 8 7 7 6 5 5 4 4I 46 0.48 16 15 13 12 10 9 8 8 7 6 6 5 4 4 4047 049 16 14 13 12 10 9 A 8 7 6 6 5 4 4 4 j

48 0.51 1 14 13 11 10 9 8 7 7 6 6 5 4 4 449 0.52 15 14 12 11 10 9 8 7 7 6 5 5 4 4 45 0,53 15 13 12 11 9 8 8 7 7 6 5 4 4 4

A-107

Page 128: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LMT SIU'E = 95ACCEPTANCE NUMBER a 3

PCTo PROBABILiTY OF ACCEPTANCE 0 (OR Pa )DEF. .01 .025 .05 .10 .20 .30 .40 .50 ,60 *70 o80 o90 .95 o975 .99

0.54 14 13 12 11 9 8 8 7 6 6 5 5 4 4 40.55 14 13 12 10 9 8 7 7 6 6 5 5 4 4 40.56 14 12 11 10 9 8 7 7 6 6 5 5 4 4 4

4 C057 13 12 11 10 9 8 7 7 6 6 5 5 4 4 40.58 13 12 11 10 8 8 7 7 6 6 5 4 4 4 4

5 0.59 1? 12 11 10 A 8 7 6 6 5 5 4 4 4 47 0.60 1? 11 10 9 8 7 7 6 6 5 5 4 4 4 4a 0.61 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4

0.62 12 11 10 9 8 7 7 6 6 5 5 4 4 4 40.63 12 11 16 9 8 7 6 6 6 5 5 4 4 4 4

1.64 1 Iin 11 9 8 7 6 6 5 5 5 4 4 4 40.65 11 10 9 8 7 7 6 6 5 5 5 4 4 4 40.66 l! 10 9 8 7 7 6 6 5 5 5 4 4 4 40.67 11 10 9 8 7 7 6 6 5 5 5 4 4 4 4

5 0.68 11 10 9 8 7 6 6 6 5 5 4 4 4 4 45 0.69 10 9 9 8 7 6 6 5 5 5 4 4 4 4 47 0.71 10 9 8 8 7 6 6 5 5 5 4 4 4 4 43 0.72 10 9 8 7 7 6 6 5 5 5 4 4 4 4 4

7 .73 10 9 8 7 7 6 6 5 5 5 4 4 4 4 40.74 9 9 8 7 6 6 5 5 5 5 4 4 4 4 4

1 0.75 9 8 8 7 6 6 5 5 5 4 4 4 4 4 40.76 9 8 8 7 6 6 5 5 5 4 4 4 4 4 4

3 0.77 9 8 7 7 6 6 5 5 5 4 4 4 4 4 40.78 9 8 7 ? 6 6 5 5 S 4 4 4 4 4 4

5 0.79 8 8 ? 7 6 5 5 5 5 4 4 4 4 4 45 0.80 Me 8 7 6 f 5 5 5 4 4 4 4 4 4 47 0.81 7 7 6 6 5 5 5 4 4 4 4 4 4 43 0.82 P 7 7 6 6 5 5 5 4 4 4 4 4 4 4

0.83 8 7 7 6 5 5 5 5 4 4 4 4 4 4 40.84 P 7 6 6 5 5 5 5 4 4 4 4 4 4 40.85 7 7 6 6 5 5 5 4 4 ', 4 4 4 4 40.86 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4

3 0.87 7 7 6 6 5 5 5 4 4 4 4 4 4 4 40.88 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4

5 0.89 7 6 6 5 5 5 4 4 4 4 4 4 4 4 45 0.91 7 6 6 5 5 5 4 4 4 4 4 4 4 4 47 0.92 6 6 6 5 5 S 4 4 4 4 4 4 4 4 4

0.93 6 6 5 5 5 4 4 4 4 4 4 4 4 4 40.94 6 6 5 s 5 4 4 4 4 4 4 4 4 4 1

D C995 6 5 5 5 4 4 4 4 4 4 4 4 4 4 40.96 5 s 5 4 4 * 4 4 4 4 4 4 4 40.97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 40,90 4 4 4 1 4 4 4 4 4 4 4 4 4 4 40.99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

5 ,000 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

A-lo8

Page 129: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

I SAMPLE SIE REQUItt,, TO ACCEPT LOT WITH A PROBARILITY OF AT M(SY0 (S O OR

LMT SIZE a 100if Ae'rPTANr" NUMPFR a 0

SN., PCT, ROBABILITY OF ACCFPTANCrF 8 r a v. )F -DEF. *ý 4025 .05 610 .20 .30. 40 .50 *60 .70 .80 .90 .95 .975 099I 0.01 "" 98 96 91 81 71 61 5, 4,3 ?1 21 11 6 3_A.04 Qn M 78 69 56 •6 ?7 '40 3 71 1i 2 1U0*0 .7 61 ý4 4 it3 27 ?1 19% p 424 0.04 68 --•944 4 -31 26 21 16 12 9 6 ? 10.00 59 52 4 37 -2 21 27 1- 10 7 5 3 1* 6 0.06 3 45 39 32 7318 14 11 A 6 4 2 1 1407 47 40 U4 28 ?0 16 12 10, 7 S 4 2 1 18 0.0a 4-3 36 31 25 18 14 11 9 6 5 3 2 1 1* 0.09 ?9 33 28 22 16 13 10 8 6 4 3 2 lit5 0.1C 16 30 2% 20 15 1I 9 7 5 4 3 2 1 1 1f, * 11 11 28 ?A 18 13 10 8 6 5 4 2 1 1 110.17 '41 25 ?1 17 12 10 7 6 1 4 2 1 1 2 1if 1" 0.13 28 24 ?1 16 11 9 7 5a 4 '3 2 1 1 1 .1* 4 0.14 ?7 22 18 15 I1 8 6 c 4 3 2 1 1 1 A5 5 215 2A1 1? 14 10 a 6 s 4 3 2 1 1 I116 0.16 24 19 16 13 9 7 6 4 3 3 2 1 1 117 0.17 2? 18 15 12 9 7 5 4 2 2 1 1 118 .018 21 17 1' 11 8 6 5 4 7 2 1 1 1 1!9 0.19 20 16 1 II 8 6 5 4 3 2 2 1 1 1 12: V 0.20 19 16 1i o0 7 6 5 4 3 2 2 1 1"" 0.21 IF18 5 1' 10 7 5 4 3 3 2 1 1 2 11 2? 0.22 1' 14 1? 9 7 5 4 1 1 2 1 1 1 12-2 0.23 1? 14 11 9 6 5 1 • 2 2 1 1 1 1 174 0.24 16 13 II 9 6 5 4 i 2 2 1 1 I 1

~~5 17 8 6 5 4 1 1 1 1 1?6 0.26 i5 12 10 8 6 4 , 3 2 2 1 1 1 1 1I. ? 7 1 17 1 fl8a 5 4 3 32-2 1• 19 1 2 7 A 4 3 3 2 2 i 1 1 1 1o 10 7 5 4 3 2 2 1 1 130 11 10 9 7 5 4 3 7 2 1 1 1 1f' 03! 1710 3ý 4 3 7

'2 .2 12 10 e 6 `5 4 3 , 2 1 1 1 1 1 133 col.3 9 01 6 3 3 2 2 1 1 1 13 0,. 0 34 9 7 6 4 3 3 2 1 1 1S & 00.5 11 9 7 6 4 3 3 2 2 1 1 1 146 0..3 10 ' 6 4 3 ? 71o7.3 7 5 ' 3 2 2 2 1 1 1 10.38 0 5 4' 3 2 2 7 1 1 1 1 117 0 039 9 a 6 5 4 3 2 Z 7 2 1All) 0.0 9 7 25 .4 9 7 6 5 4 3 2 2 1 1 1 1 1 142 0.•4 q 6 6 S 3 2 2 1 143 0.43 4 7 6 5 3 3 2 2 1 1 1 1 1 1.44 0 * 8 7 6 4 3 3 2 2 1 1 1 1 1 14 6 5 4 ' 3 2 1 1 1 1 1 1II..,.~~~ 6 57 & 5 4 2 1 1 1 1 1 116 ' 4 1 2 ? 2 1 1 I

S 2 2 t 1 1 2 l 1

A- 109

Page 130: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAP! TIR-5.0I

LOT SIZE a100ACCEPTANCE NUMBER *0

I NO. PCT. PROBABILITY OF ACCEPTANCE-0 IOR Pa)DEF. DEF. .01 .025 .05 .10 w20 .30 .40 .50 *60 .70 .810 *90 .95 .975 .99

51 0051 7 6 5 4 3 2 -2 1 1 1- 1 1 1 1 152 0.52 7 5- 4 4 3 2 2 1 1 1 -1' 1 1 1 1I53 0.53 6 5 4 4 3 2, 2 1 1 1 1 i 1L 1 154' 0.54 6 51 4- 3 3 2 2 1 1 1 1 1 1 1 155 0.55 6 5 4 3 3 2ý 2 1 1 1 1 1 1 1 1 '3 56 lie56 6 -5 4 3 2 2 2 1 1 1 1 1 1 1 157 0.57 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1s8 0.56 6 5 4 3 2 2 2 1 1 1 1 1 1 1 1.I 59 0.59 s S -4 3 2 2 2 1 1 1 1 1 1 1 160 0.60 5 4 4 3 2 2 2 1 1 1 1 1 1 1 161 0.61 5 4 4 3 2 2 1 1 1 1 1 1 1 1 162 0.62 5 4 4 3 2 2 1 1 1 1 1 1 1 1 1I 63 3.63 5 4 3 2 2 1 1 1 1 1 1 1 1 164 0.64 S 4 3 3 2 2 1 1 1 1 1 1 1 1 1.65 0.65 5 4 3 3 2 2 1 1 1 1 1 1 1 1 1I 66 0.66 S 4 3 3 2 2 1 1 1 1 1 1 1 167 0.67 5 4 3 3 2 2 1 1 1 1 1 1 1 1 168 0.68 4 4 3 3 2 2 1 1 1 1 1 1 1 1 169 o"69 4 4 3 2 2 2 1 1 1 1 1 1 1 1 1I 70 0.70 4 4 3 2 2 2 1 1 1 1 1 1 1 1 171 0.71 4 3 3 2 2 1 1 1 1 1 1 1 1 1 172 0.07L2 4 3 3 2 2 1 1 1 1 1 1 1 1 1 173 0.73 4 3 3 2 2 1 1 1 1 71 1 1 1 1 174 0.74 4 3 3 2 2 1 1 1 1 1 1 1 1 1 175 0.75 4 3 3 2 2 1 1 1 1 1 1 1 1 1 176 0.76 4 3 3 2 2 1 1 1 1 1 1 1 1 1 17? 0*77 4 3 3 2 2 1 1 1 1 1 1 1 1 1 1I 78 0.78 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1479 0.79 3 3 ? 2 2 1 1 1 1 1 1 1 1 1 1I so 000o 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1$1 0.1-1 1 3 i 2 1 j I 1 1 1 1 1 1 1 182 0.82 3 3 2 2 1 1 1 1 1 1 1 1 1 1 183 0.83 3 3 2 2 1 1- 1 1 1 1 1 1 1 1 1I 84 0.8G4 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1as 0.815 3 2 2 2 1 1 1 1 1 1 1 1 1 1 186 0.86 3 2 2 ? I I I I I 1 I 1 I I 1

S 7 08 2 2 2 1 1 1 1 1 1 1 1 1 1 1as 0.88 1 2 ? 2 1 1 1 1 1 1 1 1 1 1 189 0.819 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1

90 '0.90 2- -T 2- Z 1 1 1 1 1 1 1 1 1 1 1'3 91 0.91 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1

92 0.92 2 2 ? 1 1 1 1 1 1 1 1 1 1 1 193 0.93 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1I 94 0.94 2 2 2 1 1 1 1 1 1 1 1 1 1 1 195 0.95 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1

*96 0.96 2 2 1 1 1 1 1 1 1 1 1 1 1 1 197 0.97 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1

98 0.98 2 1 1 1 1 1 1 1 1 1 1 1 1 1

1 10.9 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1~A- 110

Page 131: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAY3 TR-501f

r SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 10A Pa

LOT SIZE a 100ACCEPT44NCF WUMBER I I

"A NO. PCT. PROBABILITY OF ACCEPTANCE 0 (OR PaDEF, DEF, .01 .025 .C5 .10 *20 *30 .40 .50 .60 .70 .80 .90 .95 .975 .9P

1 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.02 99 99 98 95 90 84 7S 71 64 56 46 32 23 17 113 0.03 94 91 87 81 72 64 57 51 44 37 29 20 14 10 74 0.04 86 80 75 68 58 51 45 39 33 2$ 22 15 11 8 55 0.05 77 71 65 58 49 42 37 32 27 22 16 12 9 6 46 0.06 70 63 58 51 42 36 31 27 23 19 15 10 7 5 47 0.07 63 57 51 45 37 31 27 2, 20 16 13 9 6 5 38 0o08 3 52 46 40 33 20 24 20 17 14 11 8 6 ,9 0.09 53 47 42 4-6 30 25 21 18 15 13 10 7 5 4 3If 10 0.10 49 43 39 33 27 23 19 16 14 11 9 6 5 3 3

11 0.11 46 40 36 30 25 21 18 15 13 10 8 6 4 3 2

12 0.12 42 37 33 28 23 19 16 14 12 10 8 5 4 3 213 0.13 40 35 31 26 21 18 15 13 11 9 7 5 4 3 214 0.14 37 33 29 24 20 16 14 12 10 8 7 5 3 3 2is 0.15 3S 31 27 23 18 1, 13 11 9 8 6 4 3 3 216 0.16 33 29 ZS 22 17 14 12 10 9 7 6 4 3 3 217 0.17 31 27 S4 20 16 14 12 10 G 7 6 4 3 2 2i18 0.18 30 26 23 19 15 13 11 9 8 7 5 4 3 2 219 0.19 28 25 22 18 15 12 10 9 8 6 5 4 3 2 2?c 0.20 27 23 20 17 14 12 10 8 7 6 5 3 3 2 221 0.21 26 22 20 17 13 11 9 8 7 6 5 3 3 2 222 0.22 25 21 19 16 13 11 9 8 7 5 4 3 3 2 223 0.23 24 20 18 15 12 10 9 7 6 5 4 3 2 2 224 0.24 23 20 17 14 12 10 8 7 6 S 4 3 2 2 2J 5 0.25 22 19 16 14 11 9 8 7 6 5 4 3 2 2 726 0.26 21 18 16 13 11 9 & 7 6 5 4 3 2 2 227 0.27 20 17 15 13 10 9 7 6 5 5 4 3 2 2 2

[ 28 0.28 19 17 15 12 10 8 7 6 5 4 4 3 2 2 229 0.29 19 16 14 12 10 8 ? 6 5 4 3 3 2 2 230 0.30 18 16 14 11 9 8 7 6 5 4 3 3 2 2 231 0.31 17 15 13 11 9 7 6 6 5 4 3 3 2 2 232 0.32 17 15 13 11 9 7 6 5 5 4 3 2 2 2 233 0.53 16 14 12 10 8 7 6 5 4 4 9 2 2 2 234 0o34 16 1* 12 10 S 7 6 5 4 4 3 2 2 2 2

35 0.35 15 L3 12 10 8 7 6 5 4 4 3 2 2 2 236 0.36 15 13 11 9 8 6 6 5 4 4 S 2 2 2 2 j37 0.37 14 12 11 9 7 6 5 5 4 3 3 2 2 2 236 0.38 14 12 11 9 7 6 5 5 4 3 3 2 2 2 2S39 0.39 14 12 10 9 7 6 5 4 4 3 3 2 2 2 240 0.40 13 11 10 8 7 6 5 4 4 3 3 2 2 2 I41 0041 13 11 10 8 7 6 3 4 4 1 3 2 2 2 2[ 42 0.42 12 11 9 a 6 5 5 4 4 1 3 , 2 243 0.63 12 10 9 S 6 5 5 4 4 3 3 2 2 2 244 004" 12 10 9 8 6 S 5 4 3 1 3 2 2 2 245 0.45 12 10 9 7 6 5 4 4 3 3 3 2 2 2 246 0.46 i1 10 8 7 6 S 4 4 3 3 2 2 2 2 247 0.#7 11 9 8 7 6 5 4 4 3 3 2 2 2 2 |46 0.48 11 9 1 7 6 5 # 4 3 3 2 2 2 2 249 0.49 10 9 1 7 5 5 4 4 3 3 2 2 2 2 250 0.50 10 9 a 7 3 5 4 6 3 3 2 2 2 2 2

A-lU.

Page 132: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

Lo15 IZE - 100fCEPTANCF NUMBER I

NO. PCT* PROBABILITY OF ACCEPTANCE 87(OR a )

DEF. DEF. ,01 .025 .05 .10 *20 .30 .40 .50 *60 *70 .80 .wU .95 .975 .99

51 0.51 10 9 7 6 5 A 4 1 3 3 2 2 2 2 2S0 0.5 8 7 6 5 4 4 3 3 3 2 2 2 2 2

5 a3 9 8 7 6 5 4 4 3 3 3 2 2 2 2 254 0.54 9 8 7 6 5 4 4 3 3 3 2 2 2 2 2

'5 0.55 9 8 7 6 5 4 4 3 3 3 2 2 2 2 256 0.56 9 8 7 6 5 4 4 ? 3 2 2 2 2 2 257 0.57 9 7 7 6 5 4 3 1 3 2 2 2 7 2 258 0.58 8 7 6 5 4 4 3 1 3 2 2 2 2 2 259 0.59 8 7 6 5 4 4 3 3 3 2 2 2 2 2 260 0.60 8 7 6 5 4 4 3 3 3 2 2 2 2 2 261 3.61 8 7 6 5 A 4 3 3 3 2 2 2 2 2 262 0.62 8 7 6 5 4 4 3 3 3 2 2 2 2 2 263 0.63 7 6 6 5 4 4 3 3 3 2 2 2 2 2 264 0.64 7 6 6 5 4 3 3 ? 2 2 2 2 2 2 265 0.65 7 6 5 5 4 3 3 3 2 2 2 2 2 2 266 0.66 7 6 5 5 4 3 33 2 2 2 2 P 2 267 0.67 7 6 5 5 4 3 3 3 2 2 2 2 2 2 268 0.68 7 6 5 4 4 3 3 1 2 2 2 2 2 2 269 0.69 7 6 5 4 4 3 3 ? 2 2 2 2 2 2 270 0.70 6 6 5 4 4 3 3 3 2 2 2 2 2 2 271 0.71 6 5 5 4 4 3 3 2 2 2 2 2 2 2 27? 0.72 6 S 5 4 3 3 3 2 2 2 2 2 2 2 273 0.73 6 5 5 4 3 3 3 2 2 2 2 2 2 2 274 0.74 6 5 5 4 3 3 3 2 2 2 2 2 2 2 275 0.75 6 5 4 4 3 3 3 2 2 2 2 2 2 2 276 0.76 6 5 4 4 3 3 3 2 2 2 2 2 2 2 277 01 77 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2

78 07 s 4 4 3 3 2 2 2 2 2 2 2 2 2

79 0.79 5 5 4 4 3 3 2 2 2 2 2 2 2 2 280 0.80 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2

81 0.81 S 4 4 3 3 3 2 2 2 2 2 2 2 2 282 0.82 95 4 4 3 3 3 2 2 2 2 2 2 2 2 283 0.83 5 4 4 3 3 3 2 2 2 2 2 2 2 2 284 0.84 S 4 4 3 3 2 2 2 2 2 2 2 2 2 ?as 0.85 S 4 4 3 3 2 2 2 2 2 2 2 2 2 2

87 0.,87 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2as o*8e & 4 3 3 3 2 2 2 2 2 2 2 2 2 289 0.89 4 4 3 3 3 2 2 2 2 2 2 2 2 2 29n) 0.90 4 4 3 3 2 2 2 2 2 2 2 2 2 29 0 1 322222222??

3 3 2 2 2 2 2 2 2 2 2 293 0.93 4 3 1 3 2 2 2 2 2 2 2 2 2 2 2

0494 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2

9s 0.9S 1 3 2 2 2 2 2 2 2 2 2 2 288 0.96 3 3 3 2 2 2 2 2 2 2 2 2 2 2 297 0.97 3 3 3 2 2 2 2 2 2 2 2 2 2 296 0.98 3 3 2 2 2 2 2 2 2 2 2 2 2 2 299 0.99 ? 2 2 2 2 2 2 2 2 2 2 2 2 2 2

IMP 1900 0,9 2 2 2 2 2 2 2 • 2 2 7 2

i ~A- 112

Page 133: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

F ~KAFI TR-5o4SAMPLE SIE REQUIRED TO ACCEPT LOT WITH A PROBABILITY OF AT MOST 0 (OR PaF LOT SIZE a 100

ACCEPTANCF NUMBER *2

NO. PeT. ~PROBABILITY OF ACCEPTAKC O-DEF. DEF, .01 o025 .05 .10 *20 .30 .40 *50 *60 .70 .80 090 69! 0975 0991 0.01 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT2 0.02 SAMPLING PLAN NfT APPLICABLE - ACCEPT THE LOT3 0.03 90 98 98 97 93 89 85 bO 74 68 59 47 38 30 234 0.04 96 93 90 86 79 73 68 62 56 50 43 11 26 21 155 0.05 89 bS 81 75 67 61 56 51 45 40 34 26 20 16 126 0.06 82 77 73 66 59 53 47 38 33 28 21 16 13 10[ 0.07 76 70 65 59 2 46 41 37 33 28 24 18 14 110008 70 64 59 53 46 41 36 32 29 25 21 16 12 10 79 0.09 64 59 54 49 42 37 33 29 26 22 18 14 11 9 71r 0 0.10 60 55 50 44 38 33 30 26 23 20 17 13 10 8 611 0011 56 51 '6 41 35 30 27 24 21 18 15 11 9 7 612 0.12 52 47 43 38 32 28 25 22 19 17 14 11 8 7 513 0.13 49 44 40 35 30 26 23 20 18 15 13 10 8 614 0.14 46 41 37 33 28 24 21 19 17 14 12 9 7 6 5

0s .015 44 39 35 31 26 23 20 18 16 13 11 9 7 6 4i6 0016 41 37 33 29 24 21 19 17 15 13 11 8 6 5 4S 17 o0o1'? .9 35 31 28 23 20 18 16 14 12 10 8 6 5 4

18 0.18 37 33 30 26 22 19 17 15 13 11 9 7 6 5 419 0.19 3S 32 28 25 21 18 16 14 12 11 9 7 6 5 420 0020 34 30 27 24 20 17 15 13 12 10 9 7 5 5 421 0.21 32 29 26 22 19 16 14 13 11 10 8 6 S 4 422 0.22 31 27 25 21 18 16 14 12 11 9 8 6 5 4 423 0.23 30 26 24 21 17 15 13 12 10 9 6 6 5 4 324 0.24 2e 25 23 20 16 14 13 11 10 9 7 6 S 4 325 0.25 27 24 22 19 16 14 12 111 0 8 7 6 5 4 326 0.26 26 23 21 18 15 13 12 10 9 8 7 5 4 4 3?7 0.27 25 22 20 18 15 13 11 10 9 8 7 5 4 4 328 0028 '4 22 19 17 14 12 11 10 9 7 6 5 4 4 329 0.c9 24 21 19 16 14 1? 11 V 6 7 6 1 4 4 330 0.30 2' 20 16 16 13 11 10 0 8 7 6 5 4 3 331 0.31 22 20 17 15 13 11 10 9 8 7 6 5 4 3 332 0.32 21 19 17 15 12 11 10 8 8 7 6 5 4 3 333 0.33 21 16 16 14 12 10 9 8 7 6 6 4 4 334 0.34 20 18 16 1' 12 10 9 8 7 6 5 4 4 . 335 0.35 19 1? 1i 13 11 10 9 8 7 6 5 4 4 3 336 0036 19 1 IS 13 11 10 a p ? 6 S 4 4 3 33? 0.37 1i 16 14 13 11 9 8 7 ? 6 5 4 4 3 3is 0.38 le 16 14 12 10 9 S 6 6 5 4 3It 0.39 1' 15 14 12 10 9 a 7 6 6 5 4 i t 340 0.40 17 1i 13 1? 10 9 a ? 6 5 5 4 3 3 341 0.41 16 14 13 11 10 8 7 7 6 5 S 4 3 3 342 0042 16 14 13 i1 9 6 7 7 6 • 5 ,4 3 3 343 0643 16 14 12 11 9 0 7 6 6 5 # .4 1 3 *344 0.44 is 13 12 10 9 S 7 6 6 5 4 4 3 3 345 0045 1! 13 12 10 9 a 7 6 5 5 , 3 3 346 0.46 1' 13 11 10 8 7 7 6 5S 4 k 3 3 347 0047 14 '" 11 10 1 7 6 6 5 S 4 3 3 3 348 0.48 14 12 11 10 6 1 6 6 5 5 4 3 1 3 349 0.49 13 12 11 9 6 7 6 6 S 5 4 3 3 3 350 0.50 13 12 10 9 S 7 6 t 5 ' 4 3 3 3 3

A- 13

Page 134: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504

LOT SIZE m 10(!ACCEPTANCE NUMHER 2

I NO. PCT. PROBABILITY OF ACCEPTANCE ( (OR PalDEF. DEr. .01 *025 .05 .10 .20 *30 .40 .50 .60 .70 .60 .90 .95 .975 .99

51 0.51 13 11 10 9 S 7 6 5 5 4 4 3 3 3 352 0qý 12 11 10 9 7 7 6 5 5 4 4 353 0.53 12 11 10 a 7 6 6 5 5 4 3 3 3 35, 0.54 1213 9 8 7 6 6 5 5 4 4 3 1 3 355 0.55 12 10 9 8 7 6 6 5 5 4 4 3 3 3 35 056 11 10 9 a ? 6 5 5 , 4 4 3 3 3 35? 0.5? 11 10 9 8 7 6 5 3so 0.58 1! 20 9 8 7 6 5 5 4 4 4 3 3 3 359 0.59 11 9 8 7 6 6 5 5 4 4 3 3 3 3 360 0.60 10 9 6 7 6 6 5 5 4 4 3 3 3 3 361 0.61 10 9 8 7 6 5 5 5 4 4 3 3 3 S 362 0.62 10 9 a 7 6 5 5 4 4 4 3 3 3 3 363 0.63 10 9 8 7 6 5 5 4 4 4 3 3 3 3 364 0.64 9 a 8 7 6 S 5 4 4 4 3 1 3 3 365 0.65 9 a 7 7 6 5 5 4 4 4 3 3 3 3 366 0.66 9 a 7 6 6 5 5 4 4 4 3 3 3 3 367 0.67 9 8 7 6 5 5 5 4 4 4 3 3 3 1 368 0.68 9 a 7 b 5 5 4 4 4 3 3 3 3 3 369 0.69 9 8 7 6 5 5 4 4 4 3 3 3 3 3 3I 70 0:70 8 7 7 6 5 5 4i

3 33

73 0.73 9 7 6 6 5 4 4 4 4 3 3 3 3 3 37 0.874 8 7 6 6 5 4 4 4 3 3 3 3 3 3 376 0.76 7 7 6 S 5 4 4 4 3 3 3 3 3 3 3

76 0.77 7 6 6 5 5 4 4 4 3 3 3 3 3 3 377 0.7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3

78 006~ 7 6 6 5 4 4 4 4 3 3 3 3 3 3 379O0.80 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3a1 0080 7' 6 5 5 4 4 4 3 3 3 3 3 3 3 3a? 0.8? 6 5 5 4 4 4 3 3 3 3 3 3 3 383 0.83 6 6 5 5 4 4 4 3 3 3 3 3 3 3 384 0.64 6 6 5 $ 4 4 4 3 3 3 3 3 3 3 384 0.65 6 6 5 5 4 4 3 3 3 3 3 3 3 3 386 0065 6 5 5 5 4 4 3 3 3 3 3 3 3 3 376 0.8 7 6 5 6 4 4 4 3 3 3 3 3 3 3 1 386078 Se? f 5 5 4 4 4 3 3 3 3 3 3 3 1 389 0.89 6 5 5 4 4 3 3 3 3 3 3 3 3 3 309 0.90 5 5 46 4 3 3 3 3 3 3 3 3 3

90 0.90 5 5 4 4 4 3 3 3 3 3 S 3 3 3 391 0.9l 5 5 4 4 4 3 3 3 3 3 3 3 3 3 392 0.93 5 s4 4 3 3 3 3 3 3 3 3 3 3 394 0.94 s 4 4 4 3 3 3 3 3 3 3 s 3 3 394 0.9 5 4 4 4 3 3 3 3 3 3 3 3 S 3 3

95 oets s 4 4 4+ 3 k 4+ 9 3 3 3

0 .96 & 4 4 4 3 3 3 3 3 3 3 3 3 3 37 0.t97 4 4 4 3 3 3 3 3 3 3 3 3 3 s I

96 0.96 3 s 3 3 3 3 3 ' 3 3 3 3 3 3 39 0.9" 3 3 3 3 3 3 3 S 3 3 3 3 1 3 3

100 1.00 3 3 3 3 3 3 3 3 3 3 3 3 3 3

A-114

Page 135: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

WAil TE-501f

SAMPLE SIZE REQUIRED TO ACCEPT LOT WITH A PROBABILIT OF AT MOST (OR Pa I

LOT SIZE a 100ACCEPTVCE NUMBER a

sNO. PCT, PROBABILITY OF ACCEPTANCE (Olt Pa 1t'EF. DEF. .01 02s .05 .10 .20 .30 s40 .90 e60 *-0 .80 .90 &95 .975 .9*

9I 1 0.01 SAMPLING PLAN NJOT APPLICABLE - ACCEPT THE LOT2 0.02 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT3 0.03 SAMPLING PLAN NOT APPLICABLE - ACCEPT THE LOT4 0.04 97 97 97 97 95 92 89 6S 80 75 68 57 49 41 335 0*05 96 9S 92 69 83 79 74 69 64 59 52 43 36 30 246 0.06 91 86 86 80 73 68 63 56 54 48 42 39 26 24 19r 0.07 SSSI1 777?265 6095 91 46 4136 2924 20 16a 0.06 79 75 71 65 9653 4940 36 31 29 21 17 149 0.09 74 69 65 60 53 40 40 36 32 2S 22 16 19 12

10 0.10 69 64 6C 55 4 643 40 16 32 29 29 20 14 14 11111 0.11 6 60 56 ;,A 44 40 36 33 30 26 23 16 19 12 10

12 0.12 61 96 52 47 37 33 30 27 24 21 17 14 11 913 0.13 S7 8 44 38 34 31 2S ? 22 19 19 11 91 0.14 54 49 45 41 36 32 9 26 2S 21 14 14 12 10s15 09115 1 47 43 36 333 0 27 24 22 19 17 1 11 9

16 0.16 46 44 40 36 31 26 25 2S 20 10 16 13 10 9 717 0.17 46 42 36 34 30 26 24 21 19 17 19 12 10 7s18 0.16 44 40 36 33 26 25 23 20 18 16 14 11 9 a 719 0.19 42 38 35 31 27 242119 17 19 IS 1 9 8 620 0.20 40 36 33 29 25 23 20 18 16 15 I1 10 9 7 6

f21 0.21 16 35 32 28 24 22 19 1716 14 1210 1 7 622 0.22 37 33 30 27 23 21 19 17 15 13 12 9 6 7 623 0.23 35 32 29 26 22 20 18 16 14 13 11 9 1 7 624 0.24 34 31 28 25 21 19 17 19 14 12 11 ' 7 6 5F 25 0.25 33 29 27 24 20 16 .,6 15 13 12 10 6 7 6 S26 0.26 ,1 28 26 23 20 17 16 14 '3 11 10 6 T 6 927 3.27 30 27 25 22 19 17 1 14 12 11 10 8 7 6 928S 0.26 29 26 24 211IN16 191312 11 9 6 6 6 929 0029 26 25 23 20 16 16 14 13 12 10 9 7 6 6 s30 0.30 27 25 22 20 17 15 14 12? I 10 9 7 6 9 S31 0.31 26 24 2? 19 16 15 13 12 11 10 S 7 6 132 002 26 23 21 19 16 14 13 12 10 9 6 7 6 9 9

0.13 25 22 20 16 1 914 12 11 10 9 6 7 6 9 4.O34 2 22 20 17 15 13 1? 11 10 9 1 7 6 , 4

S3S 0035 23 21 19 1 15 1, 12 11 10 9 0 616[ 36 0.36 ?3 20 18 16 14 13 11 10 9 6 7 6 9 5 4

37 0.37 22 20 16 16 14 1? 11 10 9 4 7 6 9 9 436 0.36 21 19 1? 19 13 12 11 10 9 6 7 6 9 9 4S9 0039 21 19 17 is is 12 11 10 9 a 7 6 9 9 4L40 0.40 20 1s 16 Is 13 11 10 9 a 1 7 6 9 5 441 0.4 20 iS 16 14 12 I1 10 9 8 7 7 6 S 142 2 0.42 19 1? 16 34 1? 11 1o 9 a 7 6 6 s 4 143 0.43 197 1 14 12 10 109 1 ? 9 4 14I O.44 1t 16 Is 13 1i 10 9 a I ? G S 9 4 145 0,04S to 16 14 13 it 10 9 1 6 7 G 9 9 4 146 0.4 17 16 14 i I 1 10 9 7 ?7 6 5 9 4 1

0.647 y is 14 12 1110 9 S 7 7 6 5 5 4 146 0.49 16 1 13 12 10 9 9 8 7 6 6 S S 4 1I 9 0.49 16 14 13 12 1* 9 9 1 ? 6 G S 4 4 1s 0 .0,0 16 14 13 11 0 9 1 1 ? 6 6 S 4 4 1

A115

Page 136: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

NAFI TR-504~

LnT SIZE = 100ArCEPTANCF NUMPFR a 3

40 PCT. PROBABILITY OF ACCEPTANCE 0 (OR Pa tDEF. DEFS *01 *025 *05 .10 .20 .30 .40 .50 .60 .70 .8C .90 .95 m975 *99

51 0.51 15 14 13 11 10 9 S 7 7 6 6 5 4 4 15? 0.52 15 i 12 11 10 9 6 7 7 6 5 5 4 4 153 0.53 15 12 11 9 8 8 7 7 6 5 5 4 4 154 C,54 14 13 1? 11 9 8 8 7 S 6 5 5 4 4 155 0.55 14 13 12 10 9 8 7 7 6 6 5 5 4 4 1"6 0.56 14 12 11 10 9 8 7 7 6 6 5 5 4 4 157 0.57 13 12 11 10 9 8 7 7 6 6 5 4 4 4 1s6 0.58 13 12 11 10 8 8 7 6 6 6 5 4 4 4 159 0.59 13 12 11 10 S 8 7 6 6 5 5 4 4 4 160 0.60 13 11 10 9 8 7 7 6 6 5 5 4 4 4 161 0.61 12 11 10 9 8 7 7 6 6 5 5 1 1 1 162 0.62 12 11 10 9 8 7 7 6 6 5 5 1 1 1 163 0.63 12 11 10 9 8 7 6 6 6 5 5 1 1 1 164 0.64 12 10 10 9 A 7 6 6 5 5 5 1 1 1 165 0.65 11 10 9 8 7 7 6 6 5 5 5 1 1 1 166 0*66 11l1 9 a 7 7 6 6 5 5 5 1 1 1 167 0.67 11 10 9 8 7 7 6 6 5 r 5 1 1 1 16ft 0.68 11 10 9 8 7 6 6 6 5 S 4 1 1 1 169 0.69 10 9 9 8 7 6 6 5 5 5 4 1 1 1 170 0.70 it, 9 9 S 1 6 6 5 5 S 4 1 1 1 171 0.71 i':i 9 8 S 7 6 6 5 5 5 4 1 1 1 172 0.72 'Alt 9 7 it6 6 5 5 5 4 1 1 1 171 0.73 10 9 7 6 6 6 5 5 S 4 1 1 1 174 0.74 9 9 a 7 6 6 5 5 5 5 4 1 1 1 175 00 9 8 a 7 6 6 5 5 5 4 4 1 1 1 176 0.76 ,9 a 7 6 6 5 S 5 4 4 1 1 1 177 0.77 9 a 7 7 6 6 S 5 S 4 4 1 1 1 178 0.78 9 S 7 7 6 6 5 5 5 4 4 1 1 1 179 0.79 6 a 7 7 6 5 5 5 4 4 1 1 1 1s0 0.80 EI a 7 6 6 5 5 5 4 4 4 1 1 1 1@1 0,1 7 7 6 6 5 5 5 1 1 1 1 1 1 18? (0.62 S 7 6 6 5 5 5 1 1 1 1 1 183 0083 p 7 6 5 5 5 5 1 1 1 1 1 1 184 0.84 a 7 7 6 5 5 5 5 1 1 1 1 1 1 1es 0.65 7 7 6 6 5 S S 4 1 1 1 1 1 1 1

16 0.86 7 7 6 6 5 5 S 4 1 1 1 1 1 1 187 0.57 7 7 6 6 5 5 5 4 1 1 1 1 1 144 0.58 1? 6 6 6 5 5 5 4 1 1 1 1 1 1

59 0.69 7 6 6 1 % 5 16 4 1 1 1 1 1 10.90 7 f 6 5 S S 4 4 1 1 1 1 1 1 1

9' 0091 6 6 6 5 S S 4 4 1 1 1 1 1 1 19.? 0#97 6 6 5 5 5 4 4 4 1 1 1 1 1 1at 0.9' 6 6 5 5 S 4 4 4 1 1 1 1 1 1 194 0.94 6 6 5 5 5 4 4 4 1 1 1 1 1 1 19 5. ol 6 S S 5 & 4 4 4 1 1 1 1 1 1 196 0.96 S 5 5 4 4 4 4 1 1 1 1 1 1

Wt 097 4 4 &4& 4 4 4 4 1 1 1 1 I I90 fi.9s 4& 4 4 4 4 4 4go0 *C99 & 4 4 is 4 4 4 4 2 1 1 1 1 1

A- 7i.

Page 137: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

S..c.•_ •yassifiatiozl

0,OUCWENT CONTROL DATA - R&D(S" IF 014p el.o.tim of ti1., 0* of aetmctl W ind.mndn aawtatten Muwed a* enoled O% A am Etrwli mulo i. ebookil)

I. O6141HATING ACTIVITY (Coeww satee) U. 0l9OP-I aSCuRITY C LA,• 01eCATION

U. S. Naval Avionics Facility UCSSIFID _-----

IndJ.aapolis, Indiana 46218 l. sneuP

J S. RE PORT To I Ld

Minimum Sine Smplirn PEams for Small Lots for a ('-eu Lot Tolerance PercentDefective (LPD) and Probability of Acceptaunce

4. 09"RIPIV9VE mOwn (Sjps. oUP wm Re 5m~hwfclu.s.)

Initial 1porteS. AM rwOm(S) (Last newe.. tint . ~AWIW

Lji.C Cynthia D.

S. •N•R TE ,DA,. TOTAL NO. OF pA4S 76 .O, OF A6

30 _u~ne 1966j 112.O. CONTRAcT em SMANT "0. is&. 0mO6044tom- R mIIn'T wMeiws)

96 V0= 61 Ne. NAlT-O4(Aar WNO Emqaim BaW :P* 8)d

10, A VAIL ASILITVLUATION NOcIC66

Distribution of this documnt Is unlitited.

11. SUPPI ENENTANY NOTES IS. S'waomeWW.K IUYARY ACTITVI

A ial Air Synetme Cmmand

This report presents a set of tables vhtich Lve the minLs smpLe sizerequiied to accept a mall 1Y; with the probability of &ccepmnce less tbwior equal to 0 for a gven 14TD. The tablex 4e base% on the hyrpertPstrioprobability distribution for lot sizes I of 10(5)100; 0 of 0.01, 0.015, 0.050.I0(0.10)0.90, 0.95, 0.9T, and 0.99; and mcceptance numbers a of 0(1)3.

II

D DD,'. .- 1473 '" -

Page 138: F /-J,$., I · OC curve of the sampling plan were based on the binomial distribution. It was felt that a set of tables based on the hypergeometric distri- bution from ...

SecurityClassificaticon_______ ______

14. LEIWRD NK A LINK a LINK C

- - ROLE WT ROLE WY ROLE WT

Sampling PlansAQL

Producer's RiskConsumer's Hisk

INSTRUCTIONSL. ORIGINATING ACTIVITY: Eater the "e'and address imposed by security classification, using standard statemeetsof the contractor. subcontractor, prantee, Department of Do- such asf&oss activity ot othar organization (corporale author) inssing (1) "Q)ualiied requesters may obtain copies of thisthe repdrt. report from DDC."2& REPORT SECURTY CLASSIFICATION: Enter the over (2) "Foreign annow~coment and dissemination of thisaln security clasaificatioa of the report. Indicate whether rpr yDCi o uhrz&"R.vstricted Data" Is Included. Marlting Is to be in accord- rpr yD Sntatoie.ance with appropriate secivity regulations. (3) "U. S. Government agencies may obtain copies of2b. GROUP' . Automatic downgrading is specified in DoD Di- this report directly from DDC. Other qualifted D10Crective 5200. 10 and Armed Forces Industrial ManuaL Enter uessalfws hogthe proup anwdr. Also. when appticable, show that optionalmarkings have been moed for Group 3 and Group 4 asathr (4) "U. S. military agencies may obtain copies of thistied, report directly from DDC. Other qualified usews3. REPORT TfL& Enter the complete report title in all shall request throughcapital letters Titles in all cases should be unclassified. IIf a meaningful title canot be selected without classifica-tion. show title classification In all capital* in parenthesl a (5) "Ail distribution of this report is controlled, Qual-iumsediately following the title. ified DDC users shall request through4. DESCRIPTIVE NOTES: If appropriate, enter the type of 1_____________report, e-g.. interim, progress, summary, annual, or fia If the report has been furnished to the Office of TechnicalGive dhe inclusive date* when a specific reporting period is Services. Department of Commerce, for sade to the public, uin&covered. Icat. this fact and enter the prita, if known.&. AIFFHDR(S)t Enter the name(s) of author(s) as shown on I L SUPPLEMIENTARY NOTES. Use for additional explain..0' in the report. Eater ta~t¶~m e first name, middle initial. tory notes.If military, show rank and =vm~ of service. The name ofIthe principal author is an absolute minimum requirement. 12. SPONSORING MILITARY ACTIVITY: Eater the nme of

& RPOR DAL- nte th dae o th reortas ay, the departmental project office u laboratory spoanoring (par

msouth. year. or mouth. year, 1 more than one date appears igfr h eem n eeomn.Icuadeson the report, use date of publication. 1.3. ABSTRACT: Enter an abstract giving a brief antd factual

7e. summary of the document indicative of the report, eve. thoughTOTWAl. 11--UVBBZ OF PAGES: The total page count it may also appear elsewhere in the body of the technical re-should follow normal pagination procedures, Le., enter ti' pr.Isdiloa pc srqurd otnato be blnumber of Pacts containing irdormation. bort.tIfhedd.inlsaei eurd otnainsetsa7b. NUJMBER OF REFERENCES Eater the total aumber of It is highly desirable that the abstract of classified reportsreferences cited in the report. he unclassified. Each paragraph of the abstract shall end withgo. CODNTRACT OR GRANT NUMBER: It appropriate, enter an indication of the military security classification of the in-tho applicable number of the contract yr grant under which formation in the paragraph, represented as (Ts). (s). (C). or (U.).the report was wlitta<O, There is no limitation on the length of the abstract. How-tb, ac, & Id. PROJECT NUMBER: Enter the appropriate ever, the suggested length is from 130 to 225 words.

supoetnumou.syrt numbers tsknubee 14. KEY WORDS: Key words are technically meaningful teemsor short phrase* that characterize a report sand may be used as

go, ORIGIN4¶TOR'IS REPORT NUBER(S)- Enter the offi- index entries for cataloging the report. Key words must he Ecial report number by which the document willl he identified selected so that no security classification is required. Identi-F6&d cintroIled by the originating activity. This number must fiers, such as equipment model designation, trade name, militaryb# tuninue to this report. project cede name, geographic location, may be uitz:1 as key9b. OTHER REPORT NUMBERS): It the report has been words but will be followed by an Indication of technical can-

sasigned any other report numbers (either by rho originator text. The assignment of links, reles, and weights is optional.or by the sponsor), also enter tlja sumber(s).

!S,. AVAILABILITY/LWITATION NOTICES: Znter any lin.

itations ov. further dissemination of the report, other tt'an thosel

UNCLASSIIED~glcpitz Qas~lciasum


Recommended