Bab 4 Goodtest

7/26/2019 Bab 4 Goodtest

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4Pengumpulandan pengolahan data

4.1 Pengumpulan data

4.1.1 Data poisson dan eksponensial

Tabel 4.1.1Data poisson dan eksponensial

N

o

Data Haidar Data Kahfi

Poisson Eksponensial Poisson Eksponensial

1 0.00 0.88 0.00 1.43

2 0.00 0.92 0.00 2.12

3 0.00 0.93 0.00 2.52

4 0.00 0.98 0.00 2.855 0.00 1.00 0.00 3.12

6 0.00 1.02 0.00 3.63

7 0.00 1.02 0.00 3.97

8 0.00 1.02 0.00 4.08

9 0.00 1.05 0.00 4.13

10 0.00 1.08 0.00 4.25

11 0.00 1.10 0.00 4.47

12 0.00 1.13 0.00 4.75

13 0.00 1.18 0.00 5.02

14 1.00 1.18 0.00 5.03

15 1.00 1.22 0.00 5.03

16 1.00 1.22 0.00 5.05

17 1.00 1.33 0.00 5.08

18 1.00 1.53 0.00 5.18

19 1.00 1.58 1.00 5.20

20 1.00 1.62 1.00 5.52

21 1.00 1.63 1.00 5.82

22 1.00 1.63 1.00 6.28

23 1.00 1.70 1.00 6.5024 1.00 1.73 1.00 6.80

25 1.00 1.78 1.00 6.92

26 1.00 1.80 1.00 6.97

27 2.00 1.85 1.00 7.05

28 2.00 1.87 1.00 7.10

29 2.00 1.97 1.00 7.17

30 2.00 1.98 1.00 7.25

Tabel 4.1.1Data poisson dan eksponensial (lanjutan)


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N

o


Poisson Eksponensial Poisson Eksponensial

31 2.00 2.38 2.00 7.47

32 2.00 2.57 2.00 7.82

33 2.00 2.62 2.00 7.85

34 2.00 3.08 2.00 8.02

35 2.00 3.25 2.00 10.83

4.2 Pengolahan data

4.2.1 Uji chi-square

4.2.1.1Ujichi-square satu sampel diskit (poisson !aida) n"#$

a) Uji hipotesis

H0= sampel mengikuti disti!usi poisson

H1= sampel tidak mengikuti disti!usi poisson

b) "iteia penolakan

H0ditolak jika #2hit$ #

2% & '( dimana v=kp1=311=1 )4.1*

% = 1+ = #2% & ' = #20.01 & 1 = 6.635

% = 5+ = #2% & '= #20.05 & 1 = 3.841

% = 10+ = #2% & ' = #20.1 & 1 = 2.710

c) Uji statistik

Tabel 4.1.2Distibusi %ekuensi satu sampel diskit

xi Oi = Fi Fi.xi

0 13 0

1 13 13

2 9 18

3 3!

1* ,ata-ata

=Fi.x i

Fi )4.2*

=31

35=0.89

imana& / adalah ata-ata pesentase sukses

adalah jumlah pesentase sukses


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# adalah pengamatan

2* o!a!ilitas poisson

P ( , x )=e

x

X !

)4.3*

P (0.89,0 )=2.718280.86

0.890

0 ! = 0.411

P (0.89 ,1 )=2.71828

0.860.89

0

1! = 0.365

P (0.89 ,2 )= 2.718280.86

0.892

2!

= 0.163

imana& adalah po!a!litas

/ adalah ata-ata pesentase sukses

e adalah epsilon, nilaina adalah 2.71828

adalah !anakna sukses dalam sampel ukuan n

3* ekuensi haapan

Ei=n P )4.4*

Ei(0)=350.411=14.385

Ei(1)=350.365=12.775

Ei(2)=350.163=5.705

imana& i adalah ekuensi haapan

adalah po!a!litas

n adalah !anakna sampel

4* hi-square hitung

OiEi2

X(xi )2 =

)4.5*


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1314.3852

X(0)2 =

1312.7752

X(1)2 =

95.7052

X(2)2 =

imana& #2adalah hi-square hitungi adalah ekuensi haapan

i adalah ekuensi

Tabel 4.4.#Distibusi %ekuensi chi-square satu sampel diskit

K xi Oi = Fi Pi Ei "#

1 0 13 0.411 14.385 0.133

2 1 13 0.365 12.775 0.004

3 2 9 0.163 5.705 1.903

#2hit 2.04

d) :nalisis pe!andingan


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&amba 4.4.1'ua pebandingan uji chi-square satu sampel diskit

e) "esimpulan

% = 1+ H0diteima( sampel mengikuti disti!usi poisson.



4.2.1.2 Ujichi-square dua sampel diskit (poisson !aida dan poisson 'ah%i) n"*

a) Uji hipotesis



b) "iteia penolakan


2% & '

dimana v=(R1)(kp1)=(21)(311)=1 )4.6*

% = 1+ = #2% & ' = #20.01 & 2 = 6.635

% = 5+ = #2% & '= #20.05 & 2 = 3.841

% = 10+ = #2% & ' = #20.1 & 2 = 2.710

c) Uji statistik


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Tabel 4.1.4Distibusi %ekuensi satu sampel diskit


xi Oi = Fi "i Oi = Fi

0 13 0 18

1 13 1 12

2 9 2 5

3 3

1* ekuensi haapan

Ei=(Oi1+Oi2 ) n1

n1+n2

)4.7*

Ei(0)=(13+18 )3535+35

=15.5

Ei(1)=(13+12 )3535+35

=12.5

Ei(2)=(9+5 )3535+35

=7

imana& i adalah ekuensi haapani1 adalah ekuensi sampel ep ;aepul ,

i2 adalah ekuensi sampel :


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1312.52

X(2)2 =

972

X(3)2 =

imana& #2adalah hi-square hitung

i adalah ekuensi haapan

i adalah ekuensi

3* hi-square hitung "ahi

OiEi2

X(xi )2 =

)4.9*

1815.52

X(1)2 =

1212.52

X(2)2

=

572

X(3)2 =



i adalah ekuensi


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min adalah nilai paling endah atau minimum

2* ?umlah kelas

Jk=1+3.3 logn )4.11*

Jk=1+3.3 log35 = 6.10

imana& ?k adalah jumlah atau jangkauan kelas

n adalah jumlah data

3* Interval

I=R

Jk)4.12*

I=R

Jk=

2.37

6 =0.40

imana&Iadalah interval

Tabel 2.4.1#Distibusi %ekuensi eksponensial

Interval Fi $%& '%& %( fi.%(

0.88 > 1.22 16 0.875 1.275 1.075 17.200

1.28 > 1.67 6 1.275 1.675 1.475 8.850

1.68 > 2.07 8 1.675 2.075 1.875 15.000

2.08 > 2.47 1 2.075 2.475 2.275 2.275

2.48 > 2.87 2 2.475 2.875 2.675 5.350

2.88 > 3.27 2 2.875 3.275 3.075 6.150

3 .*#

4* @enentukan ata-ata

=X=fi.cm

fi )4.13*

=X=54.825

35 = 1.566

imana& adalah ata-ata


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5* @enentukan po!a!ilitas AB

P1= P(LCB) =1e

(LCB ) )4.14*

P1(1) =12.71828

(0.8751.566)= 0.428

P1(2) =12.71828

(1.2751.566)= 0.557

P1(3) =12.71828

(1.6751.566)= 0.657

P1(4) =12.71828

(2.0751.566)= 0.734

P1(5) =12.71828

(2.4751.566)= 0.794

P1(6) =12.71828

(2.8751.566)= 0.840

6* @enentukan po!a!ilitas UB

P2= P(UCB) =1e

(UCB ) )4.15*

P1(2) = 12.71828(1.2751.566)= 0.557

P1(3) =12.71828

(1.6751.566)= 0.657

P1(4) =12.71828

(2.0751.566)= 0.734

P1(5) =12.71828

(2.4751.566)= 0.794

P1(5) = 12.71828(2.875

1.566

)= 0.840P1(6) =

12.71828(3.2751.566)= 0.876

7) Menentukan Probabiita!

P = P2" P1 )4.16*

P(1)= 0.557 " 0.428 = 0.129

P(2)= 0.657 " 0.557 = 0.100

P(3)= 0.734 " 0.657 = 0.077


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P(4) = 0.794 " 0.734 = 0.060

P(5)= 0.840 " 0.794 = 0.046

P(6)= 0.876 " 0.840 = 0.036

imana& adalah adalah po!a!litas

ABadalah po!a!ilitas pada tiap kelas AB

UBadalah po!a!ilitas pada tiap kelas UBe adalah epsilon( nilaina adalah 2.17828

C adalah ata-ata

8* @enentukan ekuensi haapan

Eixi=n p )4.17*

Ei1=350.129=4.515

Ei2=350.100=3.500

Ei3=350.077=2.695

Ei4=350.060=2.100

Ei5=350.046=1.610

Ei6=350.036=1.260

imana& i adalah ekuensi haapan

n adalah !anakna sampel

p adalah po!a!ilitas

9* @enentukan hi-squarehitung

OiEi2

X(xi )2 =

)4.18*

164.5152

X(1 )

2 =


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63.5002

X(2)2 =

82.6952

X(3)2 =

12.1002

X(4)2 =

21.6102

X(5)2 =

21.2602

X(6)2 =



i adalah ekuensi

Table 4.4.Distibusi %ekuensi chi-squaresatu sampel kontin+u

K $%& '%& Oi = Fi P! P# Pi Ei "#

10.875 1.275 16 0.428 0.557 0.129 4.515 29.215

1.275 1.675 6 0.557 0.657 0.100 3.500 1.786

2

1.675 2.075 8 0.657 0.734 0.077 2.695 10.443

2.075 2.475 1 0.734 0.794 0.060 2.100 0.576

2.475 2.875 2 0.794 0.840 0.046 1.610 0.094

3 2.875 3.275 2 0.840 0.876 0.036 1.260 0.435

"#hit #.

* "iteia penolakan


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2% & '( dimana v=kp1=311=1 )4.19*

% = 1+ = #2% & ' = #20.01 & 1 = 6.635

% = 5+ = #2% & '= #20.05 & 1 = 3.841

% = 10+ = #2% & ' = #20.1 & 1= 2.710

d* :nalisis pe!andingan

&amba 4.4.#'ua pebandingan uji chi-square satu sampel kontin+ue* "esimpulan

% = 1+ H0ditolak( sampel tidak mengikuti disti!usi eksponensial.



4.2.1.4 Uji chi-square dua sampel kontin+u (eksponensial !aida daneksponensial 'ah%i) n"*

a) Uji hipotesis

H0= kedua sampel mengikuti disti!usi eksponensial

H1= kedua sampel tidak mengikuti disti!usi eksponensial

!* Uji ;tatistik

1) Range

Range= max min )4.20*

Range= 10.83 > 0.88 = 9.95

imana& Range),* adalah jaak

maxadalah nilai paling tinggi atau maksimum

min adalah nilai paling endah atau minimum

2* ?umlah kelas


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Jk=1+3.3 logn )4.21*

Jk=1+3.3 log70 = 7.09 D 6

imana& ?k adalah jumlah atau jangkauan kelas

n adalah jumlah data

3* Interval

I=R

Jk)4.22*

I=R

Jk=

9.95

6 =1.66

imana&Iadalah interval

Tabel 4.4.,Distibusi %ekuensi dua sampel kontin+u

+nter,al Fi sa-pel Haidar Fi sa-pel Kahfi 0.88 > 2.53 31 3

2.54 > 4.19 4 6

4.20 > 5.85 0 12

5.86 > 7.51 0 10

7.52 > 9.17 0 3

9.18 > 10.83 0 1

3 3

4* @enentukan ekuensi haapan

Ei=(Oi1+Oi2)n1

n1+n2

)4.23*

Ei1=(31+3 )3535+35

=17

Ei2=(4+6 )3535+35

=5


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Ei3=(0+12 )3535+35

=6

Ei4

=(0+10)35

35+35 =5

Ei5=(0+3 )3535+35

=1.5

Ei6=(0+1)3535+35

=0.5

imana& i adalah ekuensi haapani1 adalah ekuensi sampel Haida

i2 adalah ekuensi sampel "ahi

5* @enentukan hi-square hitung Haida

OiEi2

X(xi )2 =

)4.24*

3117

2

X1 (1)2 =

452

X1 (2)2 =

062

X1 (3 )2 =


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052

X1 (4)2 =

01.52

X1 (5 )2 =

00.52

X1 (6 )2 =



i adalah ekuensi

6* @enentukan hi-square hitung "ahi

OiEi

2

X(xi )2 =

)4.25*

3172

X1 (1)2 =

652

X1 (2)2 =

1262

X1 (3 )2

=


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1052

X1 (4)

2 =

31.52

X1 (5 )2 =

10.52

X1 (6 )2 =



i adalah ekuensi

Tabel 4.4.Distibusi %ekuensi chi-squaredua sampel kontin+u

"! "# "3 " " " "#hit

N

!

31

17

4 5 0 6 0 5 0 1.5 00.50

24.73

11.53 0.20 6.00 5.00 1.50 0.30

N

#

31

76 5

1

26

1

05 3 1.5 1

0.5

0

24.73

11.53 0.20 6.00 5.00 1.50 0.30

/.

* "iteia penolakan

H0ditolak jika #2hit$ #2% & '

dimana v=(R1)(kp1)=(21)(611)=4 )4.26*

% = 1+ = #2% & ' = #20.01 & 4 = 13.28

% = 5+ = #2% & '= #20.05 & 4 = 9.49

% = 10+ = #2% & ' = #20.1 & 4 = 7.28



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&amba 4.4.4'ua pebandingan chi-squaredua sampel kontin+u

e* "esimpulan

% = 1+ H0ditolak( kedua sampel tidak mengikuti disti!usi eksponensial.



4.2.2 Uji kolmogorov-smirnov

4.2.2.1 Uji kolmogorov-smirnov satu sampel diskit (poisson !aida) n"#$

a) Uji hipotesis



b) "iteia penolakan

H0ditolak jika nhit$ n % & n

% = 1+ = n % & n = n 0.01 & 35 = 0.27

% = 5+ = n % & n= n 0.05 & 35 = 0.23

% = 10+ = n % & n = n 0.1 & 35 = 0.21

c) Uji statistik


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1* ,ata-ata

=Fi.x i

Fi )4.27*

=31

35=0.89

imana& / adalah ata-ata pesentase sukses

adalah jumlah pesentase sukses

# adalah pengamatan

2* o!a!ilitas poisson

Fe=P ( , x )= e x

X !)4.28*

P (0.89,0 )=2.71828

0.860.89

0

0 ! = 0.411

P (0.89 ,1 )=2.71828

0.860.89

0

1! = 0.365

P (0.89 ,2 )=2.71828

0.860.89

2

2! = 0.163

imana& adalah po!a!litas

/ adalah ata-ata pesentase sukses

e adalah epsilon, nilaina adalah 2.71828

adalah !anakna sukses dalam sampel ukuan n

3* ekuensi kumulati elati

Fo=Fkr= Fk Fi

)4.29*

Fkr(0)=13

35=0.37 1

Fkr(1)=26

35=0.743

Fkr(3)=35

35

=1 .000


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imana& k adalah ekuensi kumulati elati

k adalah ekuensi kumulati

i adalah ekuensi

4* n mahitung

n=|FeFo| )4.30*

n0=|0.4110.371|=0.040

n1=|0.3650.743|=0.378

n2=|0.1631.000|=0.837

imana& n adalahKolmogorov smirnov hitunge adalah po!a!ilitas

o adalah ekuensi kumulati elati'e

Tabel 4.4.1*Distibusi %ekeunsi Kolmogorov-smirnov satu sampel diskit

xi Fi Fk Fi.xi Fo = Fkr Fe = P Dn

0 13 13 0 0.371 0.411 0.040

1 13 26 13 0.743 0.365 0.378

2 9 35 18 1.000 0.163 0.837 35 31

n ma = 0.837



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&amba 4.4.$'ua pebandingan uji Kolmogorov-smirnov satu sampeldiskit

e* "esimpulan

% = 1+ H0ditolak( sampel tidak mengikuti disti!usi poisson.



4.2.2.2 Uji kolmogorov-smirnov dua sampel diskit (poisson !aida danPoisson 'ah%i) n"*

a) Uji hipotesis



!* "iteia penolakan


% = 1+ = n % & n = n 0.01 & 70 = 0.19

% = 5+ = n % & n= n 0.05 & 70 = 0.16

% = 10+ = n % & n = n 0.1 & 70 = 0.15

* Uji ;tatistik

1* ekuensi kumulati elati'e Haida

Fo=Fkr= Fk

Fi

)4.31*


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Fkr(0)=13

35=0.371

Fkr(1)=2635=0.743

Fkr(2)=35

35=1



i adalah ekuensi

2* ekuensi kumulati elati'e "ahi

Fo=Fkr= Fk

Fi

)4.32*

Fkr(0)=18

35=0.514

Fkr(1)=30

35=0.857

Fkr(2)=3535=1 .000



i adalah ekuensi

3* n hitung

n=|Fo1Fo2| )4.33*

n0=|0.3710.514|=0.143

n1=|0.7430.857|=0.20

n2=|11|=0

Tabel 4.4.11Distibusi %ekuensi uji Kolmogorov-smirnov dua sampeldiskit

xiFi Fk Fkr = Fo Dn

n! n# n! n# n! n#

0 13 18 13 18 0.371 0.514 0.143


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1 13 12 26 30 0.743 0.857 0.114

2 9 5 35 35 1.000 1.000 0.000

3 3

n ma = 0.143


&amba 4.4.'ua pebandingan uji Kolmogorov-smirnov dua sampel diskit

e* "esimpulan

% = 1+ H0ditolak( kedua sampel tidak mengikuti disti!usi poisson.



4.2.2.# Uji kolmogorov-smirnov satu sampel kontin+u

a) Uji hipotesis

H0= sampel mengikuti disti!usi eksponensial

H1= sampel tidak mengikuti disti!usi eksponensialb) "iteia penolakan


% = 1+ = n % & n = n 0.01 & 35 = 0.27

% = 5+ = n % & n= n 0.05 & 35 = 0.23

% = 10+ = n % & n = n 0.1 & 35 = 0.21

c) Uji statistik

Tabel 4.4.12Distibusi %ekuensi Kolmogorov-smirnov satu sampel kontin+u

xi Fi Fk fi.xi fkr p Dn -ax


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0.88 1 1 0.88 0.03 0.43 0.40

0.92 1 2 0.92 0.06 0.44 0.38

0.93 1 3 0.93 0.09 0.45 0.36

0.98 1 4 0.98 0.11 0.46 0.35

1.00 1 5 1.00 0.14 0.47 0.331.02 3 8 3.06 0.23 0.86 0.63

1.05 1 9 1.05 0.26 0.49 0.23

1.08 1 10 1.08 0.29 0.50 0.21

1.10 1 11 1.10 0.31 0.50 0.19

1.13 1 12 1.13 0.34 0.51 0.17

1.18 2 14 2.36 0.40 0.78 0.38

1.22 2 16 2.44 0.46 0.79 0.33

1.33 1 17 1.33 0.49 0.57 0.08

1.53 1 18 1.53 0.51 0.62 0.11

1.58 1 19 1.58 0.54 0.63 0.09

1.62 1 20 1.62 0.57 0.63 0.07

1.63 2 22 3.26 0.63 0.87 0.241.70 1 23 1.70 0.66 0.66 0.00

1.73 1 24 1.73 0.69 0.67 0.02

1.78 1 25 1.78 0.71 0.68 0.03

1.80 1 26 1.80 0.74 0.68 0.06

1.85 1 27 1.85 0.77 0.69 0.08

1.87 1 28 1.87 0.80 0.70 0.10

1.97 1 29 1.97 0.83 0.71 0.12

1.98 1 30 1.98 0.86 0.72 0.14

2.38 1 31 2.38 0.89 0.78 0.11

2.57 1 32 2.57 0.91 0.80 0.11

2.62 1 33 2.62 0.94 0.81 0.13

3.08 1 34 3.08 0.97 0.86 0.11

3.25 1 35 3.25 1.00 0.87 0.13

n ma = 0.495

!) @enentukan ata-ata

=X= f i . x i

fi

)4.34*

=X=54.8335

= 1.57

imana& adalah ata-ata

#) @enentukan ekuensi elati'e

Fo=Fkr= Fk

Fi

)4.35*

Fkr (0.88 )=1

35=0.03

Fkr (1.53 )=19

35=0.54

Fkr (1.58 )=20

35=0.57

Fkr (1.62 )=22

35=0.63

Fkr (1.63 )=22

35=0.63

Fkr (1.70 )=23

35=0.66

Fkr (1.73 )=24

35=0.69

Fkr (1.78)=2535

=0.71

Fkr (1.80 )=26

35

=0.74

Fkr (1.85 )=27

35=0.77

Fkr (1.87 )=28

35=0.80

Fkr (1.97 )=29

35=0.83


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Fkr (0.92 )=2

35=0.06

Fkr (0.93 )=3

35=0.09

Fkr (0.98 )= 435

=0.11

Fkr (1.00 )=5

35=0.14

Fkr (1.02 )= 8

35=0.23

Fkr (1.02 )= 9

35=0.26

Fkr (1.05 )=10

35=0.29

Fkr (1.08 )=11

35=0.31

Fkr (1.10 )=12

35=0.34

Fkr (1.13 )=14

35=0.40

Fkr (1.18 )=16

35=0.46

Fkr (1.22 )=17

35=0.49

Fkr (1.33 )=17

35=0.49

Fkr (1.43 )=18

35=0.51



i adalah ekuensi

3) @enentukan po!a!ilitas

P(#i) = 1e(xi) )4.36*

P(0.88)=12.71828

(0.881.57) = 0.03 P(1.62)=12.71828

( 1.621.57 ) =0.57

P(0.92)=12.71828

(0.921.57) = 0.06 P(1.63)=12.71828

( 1.631.57 ) =0.63

P(0.93)=12.71828

(0.931.57) = 0.09 P(1.70)=12.71828

( 1.701.57 ) =0.66


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P(0.98)=12.71828

(0.981.57) = 0.11 P(1.73)=12.71828

( 1.731.57 ) =0.69

P(1.00)=12.71828(

1.001.57 ) = 0.14 P(1.78)=

12.71828(1.781.57 ) = 0.71

P(1.02)=12.71828

( 1.021.57 ) = 0.23 P(1.80)=

12.71828(1.801.57 ) = 0.74

P(1.05)=12.71828

( 1.051.57 ) = 0.26 P(1.85)=

12.71828(1.851.57 ) = 0.77

P(1.08)=12.71828

( 1.081.57 ) = 0.29 P(1.87)=

12.71828(1.871.57 ) = 0.80

P(1.10)=12.71828

( 1.101.57 ) = 0.31 P(1.97)=

12.71828(1.971.57 ) = 0.83

P(1.13)=12.71828

( 1.131.57 ) = 0.34 P(1.98)=

12.71828(1.981.57 ) = 0.86

P(1.18)=12.71828

( 1.181.57 ) = 0.40 P(2.38)=

12.71828(2.381.57 ) = 0.89

P(1.22)=

12.71828( 1.221.57 ) = 0.46 P(2.57)=

12.71828(2.571.57 ) = 0.91

P(1.33)=12.71828

( 1.331.57 ) = 0.49 P(2.62)=

12.71828(2.621.57 ) = 0.94

P(1.53)=12.71828

( 1.531.57 ) = 0.51 P(3.08)=

12.71828(3.081.57 ) = 0.97


27/35

P(1.58)=12.71828

( 1.581.57 ) = 0.54 P(3.25)=

12.71828(3.251.57 ) = 1.00

) n hitung

n=|FeFo| )4.37*

Dn (0.88 )=|0.43-0.03|=0.40Dn (0.92 )=|0.44-0.06|=0.38Dn (0.93 )=|0.45-0.09|=0.36

Dn (0.98)=|0.46-0.11|=0.35Dn (1.00 )=|0.47-0.14|=0.33Dn (3.06)=|0.86-0.23|=0.63Dn (1.05 )=|0.49-0.26|=0.23Dn (1.08)=|0.50-0.29|=0.21Dn (1.10 )=|0.50-0.31|=0.19Dn (1.13 )=|0.50-0.34|=0.17Dn (2.36 )=|0.51-0.40|=0.38Dn (2.44 )=|0.78-0.46|=0.33Dn (1.33 )=|0.79-0.49|=0.08

Dn (1.53 )=|0.57-0.51|=0.11Dn (1.58 )=|0.62-0.54|=0.09Dn (1.62 )=|0.63-0.57|=0.07Dn (3.26 )=|0.64-0.63|=0.24

imana& n adalahKolmogorov smirnov hitunge adalah po!a!ilitas

o adalah ekuensi kumulati elati'e

d) :nalisis pe!andingan

n (1.70 )=|0.870.66|=0.00n (1.73)=|0.660.69|=0.02n (1.78 )=|0.670.71|=0.03

n (1.80 )=|0.680.74|=0.06n (1.85 )=|0.680.77|=0.08n (1.87 )=|0.690.80|=0.10n (1.97 )=|0.700.83|=0.12n (1.98 )=|0.710.86|=0.14n (2.38 )=|0.720.89|=011n (2.57 )=|0.780.91|=0.11n (2.62 )=|0.800.94|=0.13n (3.08 )=|0.810.97|=0.11n (3.25 )=|0.861.00|=0.13


28/35


29/35

x ifi Fk Fkr=Fo

Dnn1 n2 n1 n2 n1 n2


30/35

0.88 0 1 0 1 0 0.03 0.03

0.92 0 1 0 2 0 0.06 0.06

0.93 0 1 0 3 0 0.09 0.09

0.98 0 1 0 4 0 0.11 0.11

1 0 1 0 5 0 0.14 0.14

1.02 0 3 0 8 0 0.23 0.23

1.05 0 1 0 9 0 0.26 0.26

1.08 0 1 0 10 0 0.29 0.29

1.1 0 1 0 11 0 0.31 0.31

1.13 0 1 0 12 0 0.34 0.34

1.18 0 2 0 14 0 0.40 0.40

1.22 0 2 0 16 0 0.46 0.46

1.33 0 1 0 17 0 0.49 0.49

1.43 1 0 1 17 0.03 0.49 0.46

1.53 0 1 1 18 0.03 0.51 0.49

1.58 0 1 1 19 0.03 0.54 0.51

1.62 0 1 1 20 0.03 0.57 0.54

1.63 0 2 1 22 0.03 0.63 0.60

1.7 0 1 1 23 0.03 0.66 0.63

1.73 0 1 1 24 0.03 0.69 0.66

1.78 0 1 1 25 0.03 0.71 0.69

1.8 0 1 1 26 0.03 0.74 0.71

1.85 0 1 1 27 0.03 0.77 0.74

1.87 0 1 1 28 0.03 0.80 0.77

1.97 0 1 1 29 0.03 0.83 0.80

1.98 0 1 1 30 0.03 0.86 0.83

2.12 1 0 2 30 0.06 0.86 0.80

2.38 0 1 2 31 0.06 0.89 0.83

2.52 1 0 3 31 0.09 0.89 0.80

2.57 0 1 3 32 0.09 0.91 0.83

2.62 0 1 3 33 0.09 0.94 0.86

2.85 1 0 4 33 0.11 0.94 0.83

3.08 0 1 4 34 0.11 0.97 0.86

3.12 1 0 5 34 0.14 0.97 0.83

3.25 0 1 5 35 0.14 1.00 0.86

3.63 1 0 6 35 0.17 1.00 0.83

3.97 1 0 7 35 0.20 1.00 0.80

4.08 1 0 8 35 0.23 1.00 0.77

4.13 1 0 9 35 0.26 1.00 0.74

4.25 1 0 10 35 0.29 1.00 0.71

4.47 1 0 11 35 0.31 1.00 0.69

4.75 1 0 12 35 0.34 1.00 0.66

5.02 1 0 13 35 0.37 1.00 0.63

5.03 2 0 15 35 0.43 1.00 0.57


31/35

5.05 1 0 16 35 0.46 1.00 0.54

5.08 1 0 17 35 0.49 1.00 0.51

5.18 1 0 18 35 0.51 1.00 0.49

5.20 1 0 19 35 0.54 1.00 0.46

5.52 1 0 20 35 0.57 1.00 0.43

5.82 1 0 21 35 0.60 1.00 0.40

6.28 1 0 22 35 0.63 1.00 0.37

6.50 1 0 23 35 0.66 1.00 0.34

6.80 1 0 24 35 0.69 1.00 0.31

6.92 1 0 25 35 0.71 1.00 0.29

6.97 1 0 26 35 0.74 1.00 0.26

7.05 1 0 27 35 0.77 1.00 0.23

7.10 1 0 28 35 0.80 1.00 0.20

7.17 1 0 29 35 0.83 1.00 0.17

7.25 1 0 30 35 0.86 1.00 0.14

7.47 1 0 31 35 0.89 1.00 0.11

7.82 1 0 32 35 0.91 1.00 0.09

7.85 1 0 33 35 0.94 1.00 0.06

8.02 1 0 34 35 0.97 1.00 0.03

10.83 1 0 35 35 1.00 1.00 0.00

1) Men$ari niai %kr&iai ini 'itentukan 'enan er!a*aan 4.4.12 berikut+

Fo=Fkr (x i)= Fk

fi

n1!Fkr (0.88 )= 0

35=0

Fkr (0.92 )=0

35=0

Fkr (0.93 )=0

35=0

Fkr (0.98 )=0

35=0

Fkr (1.00 )=0

35=0

Fkr (1.02 )= 0

35=0

Fkr (1.02 )= 0

35=0

Fkr (1.05 )=0

35=0

Fkr (1.08 )=0

35=0

n2 Fkr (0.88 )= 1

35=0.03

Fkr (0.92 )=2

35=0.06

Fkr (0.93 )=3

35=0.09

Fkr (0.98 )=4

35=0.11

Fkr (1.00 )=5

35=0.14

Fkr (1.02 )= 8

35=0.23

Fkr (1.02 )= 9

35=0.26

Fkr (1.05 )=10

35=0.29

Fkr (1.08 )=11

35=0.31

)4.4.1


32/35

Fkr (1.10 )=0

35=0

Fkr (1.13 )=0

35=0

Fkr (1.18 )= 035

=0

Fkr (1.22 )= 0

35=0

Fkr (1.33 )=0

35=0

Fkr (1.43 )=1

35=0.03

Fkr (1.53 )=1

35=0.03

Fkr (1.58 )=1

35=0.03

Fkr (1.62 )= 1

35=0.03

Fkr (1.63 )=1

35=0.03

Fkr (1.70 )=1

35=0.03

Fkr (1.73 )=1

35=0.03

n1 Fkr (1.78 )=1

35=0.03

Fkr (1.80 )=1

35=0.03

Fkr (1.85 )=1

35=0.03

Fkr (1.87 )=1

35=0.03

Fkr (1.97 )=1

35=0.03

Fkr (1.98 )=1

35=0.03

Fkr (2.12 )= 2

35=0.06

Fkr (2.38 )=2

35=0.06

Fkr (2.52 )= 3

35=0.09

Fkr (2.57 )=3

35=0.09

Fkr (2.62 )= 3

35=0.09

Fkr (1.10 )=12

35=0.34

Fkr (1.13 )=14

35=0.40

Fkr (1.18 )=1635

=0.46

Fkr (1.22 )=17

35=0.49

Fkr (1.33 )=17

35=0.49

Fkr (1.43 )=18

35=0.51

Fkr (1.53 )=19

35=0.54

Fkr (1.58 )=20

35=0.57

Fkr (1.62 )=22

35=0.63

Fkr (1.63 )=22

35=0.63

Fkr (1.70 )=23

35=0.66

Fkr (1.73 )=24

35=0.69

n2 Fkr (1.78 )=25

35=0.71

Fkr (1.80 )=26

35=0.74

Fkr (1.85 )=27

35=0.77

Fkr (1.87 )=28

35=0.80

Fkr (1.97 )=29

35=0.83

Fkr (1.98 )=30

35=0.86

Fkr (2.12 )=30

35=0.86

Fkr (2.38 )=31

35=0.89

Fkr (2.52 )=31

35=0.89

Fkr (2.57 )=32

35=0.91

Fkr (2.62 )=33

35=0.94


33/35

Fkr (2.85 )=4

35=0.11

Fkr (3.08 )=4

35=0.11

Fkr (3.12 )= 535

=0.14

Fkr (3.25 )=5

35=0.14

Fkr (3.63 )=6

35=0.17

Fkr (3.97 )=7

35=0.20

Fkr (4.08 )= 8

35=0.23

Fkr (4.13 )= 9

35=0.26

Fkr (4.25 )=10

35=0.29

Fkr (4.47 )=11

35=0.31

Fkr (4.75 )=12

35=0.34

Fkr (5.02 )=13

35=0.37

Fkr (5.03 )=15

35=0.43

Fkr (5.05 )=16

35=0.46

Fkr (5.08 )=17

35=0.49

Fkr (5.18 )=18

35=0.51

Fkr (5.20 )=19

35=0.54

Fkr (5.52 )=20

35=0.57

n1 Fkr (5.82 )=21

35=0.60

Fkr (6.28 )=22

35=0.63

Fkr (6.50 )=23

35=0.66

Fkr (6.80 )=24

35=0.69

Fkr (6.92 )=25

35=0.71

Fkr (2.85 )=33

35=0.94

Fkr (3.08 )=34

35=0.97

Fkr (3.12 )=3435

=0.97

Fkr (3.25 )=35

35=1.00

Fkr (3.63 )=35

35=1.00

Fkr (3.97 )=35

35=1.00

Fkr (4.08 )=35

35=1.00

Fkr (4.13 )=35

35=1.00

Fkr (4.25 )=35

35=1.00

Fkr (4.47 )=35

35=1.00

Fkr (4.75 )=35

35=1.00

Fkr (5.02 )=35

35=1.00

Fkr (5.03 )=35

35=1.00

Fkr (5.05 )=35

35=1.00

Fkr (5.08 )=35

35=1.00

Fkr (5.18 )=35

35=1.00

Fkr (5.20 )=35

35=1.00

Fkr (5.52 )=35

35=1.00

n2 Fkr (5.82 )=35

35=1.00

Fkr (6.28 )=35

35=1.00

Fkr (6.50 )=35

35=1.00

Fkr (6.80 )=35

35=1.00

Fkr (6.92 )=35

35=1.00


34/35

Fkr (6.97 )=26

35=0.74

Fkr (7.05 )=27

35=0.77

Fkr (7.10 )=2835

=0.80

Fkr (7.17 )=29

35=0.83

Fkr (7.25 )=30

35=0.86

Fkr (7.47 )=31

35=0.89

Fkr (7.82 )=32

35=0.91

Fkr (7.85 )=33

35=0.94

Fkr (8.02 )=34

35=0.97

Fkr (10.83 )=35

35=1.00

Fkr (6.97 )=35

35=1.00

Fkr (7.05 )=35

35=1.00

Fkr (7.10 )=3535

=1.00

Fkr (7.17 )=35

35=1.00

Fkr (7.25 )=35

35=1.00

Fkr (7.47 )=35

35=1.00

Fkr (7.82 )=35

35=1.00

Fkr (7.85 )=35

35=1.00

Fkr (8.02 )=35

35=1.00

Fkr (10.83 )=35

35=1.00

2) Men$ari niai ,n

&iai ini 'i$ari 'enan er!a*aan 4.4.14 berikut+

n=|Fkr (1)Fkr (2)|

Dn (0.88 )=|0-0.03|=0.03Dn (0.92 )=|0-0.06|=0.06Dn (0.93 )=|0-0.09|=0.09Dn (0.98 )=|0-0.11|=0.11Dn (1.00 )=|0-0.14|=0.14Dn (1.02 )=|0-0.23|=0.23Dn (1.05 )=|0-0.26|=0.26Dn (1.08 )=|0-0.29|=0.29

Dn (1.10 )=|0-0.31|=0.31Dn (1.13 )=|0-0.34|=0.34Dn (1.18 )=|0-0.40|=0.40Dn (1.22 )=|0-0.46|=0.46Dn (1.33 )=|0-0.49|=0.49Dn (1.43 )=|0.03-0.49|=0.46Dn (1.53 )=|0.03-0.51|=0.49Dn (1.58 )=|0.03-0.54|=0.51Dn (1.62 )=|0.03-0.57|=0.54Dn (1.63 )=|0.03-0.63|=0.60

Dn (1.70 )=|0.03-0.66|=0.63

Dn (1.80 )=|0.03-0.74|=0.71Dn (1.85 )=|0.03-0.77|=0.74Dn (1.87 )=|0.03-0.80|=0.77Dn (1.97 )=|0.03-0.83|=0.80Dn (1.98 )=|0.03-0.86|=0.83Dn (2.12 )=|0.06-0.86|=0.80Dn (2.38 )=|0.06-0.89|=0.83Dn (2.52 )=|0.09-0.89|=0.80

Dn (2.57 )=|0.09-0.91|=0.83Dn (2.62 )=|0.09-0.94|=0.86Dn (2.85 )=|0.11-0.94|=0.83Dn (3.08 )=|0.11-0.97|=0.86Dn (3.12 )=|0.14-0.97|=0.83Dn (3,25 )=|0.14-1.00|=0.86Dn (3.63 )=|0.17-1.00|=0.83Dn (3.97 )=|0.20-1.00|=0.80Dn (4.08 )=|0.23-1.00|=0.77Dn (4.13 )=|0.26-1.00|=0.74

Dn (4.25 )=|0.29-1.00|=0.71

)4.4.1

,n *a#


35/35

Dn (1.73 )=|0.03-0.69|=0.66Dn (1.78 )=|0.03-0.71|=0.69Dn (5.02 )=|0.37-1.00|=0.69Dn (5.03 )=|0.43-1.00|=0.57Dn (5.05 )=|0.46-1.00|=0.54Dn (5.08 )=|0.49-1.00|=0.51Dn (5.18 )=|0.51-1.00|=0.49Dn (5.20 )=|0.54-1.00|=0.46Dn (5.52 )=|0.57-1.00|=0.43Dn (5.82 )=|0.60-1.00|=0.40Dn (6.28 )=|0.63-1.00|=0.37Dn (6.50 )=|0.66-1.00|=0.34Dn (6.80 )=|0.69-1.00|=0.31

Dn (4.47 )=|0.31-1.00|=0.69Dn (4.75 )=|0.34-1.00|=0.66Dn (6.92 )=|0.71-1.00|=0.29Dn (6.97 )=|0.74-1.00|=0.26Dn (7.05 )=|0.77-1.00|=0.23Dn (7.10 )=|0.80-1.00|=0.20Dn (7.17 )=|0.83-1.00|=0.17Dn (7.25 )=|0.86-1.00|=0.14Dn (7.47 )=|0.89-1.00|=0.11Dn (7.82 )=|0.91-1.00|=0.09Dn (7.85 )=|0.94-1.00|=0.06Dn (8.02 )=|0.97-1.00|=0.03Dn (10.83)=|1.00-1.003|=0

b) -nai!a erban'inan

&amba 4.4.,'ua uji 'olmogoo-smino dua sampel kontin+u$) e!i*uan

"=1, /0'itoak ke'ua !a*e ti'ak *enikuti 'i!tribu!i exponential"=5, /0'itoak ke'ua !a*e ti'ak *enikuti 'i!tribu!i exponential"=10, /0'itoak ke'ua !a*e ti'ak *enikuti 'i!tribu!i exponential

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