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Amity CampusUttar PradeshIndia 201303
ASSIGNMENTSPROGRAM !"M
Su#$e%t Name Study COUNTR& R'(( Num#er )Re*+N'+, Student Name
INSTRUCTIONSa, Students are re-uired t' su#mit a(( three assi*nment sets+
ASSIGNMENT !ETAI.S MAR/SAssi*nment A i e Su#$e%ti e uesti'ns 10Assi*nment " Three Su#$e%ti e uesti'ns Case Study 10Assi*nment C O#$e%ti e 'r 'ne (ine uesti'ns 10
#, T'ta( 4ei*hta*e *i en t' these assi*nments is 305+ OR 30 Mar6s%, A(( assi*nments are t' #e %'mp(eted as typed in 4'rd7pd8+d, A(( -uesti'ns are re-uired t' #e attempted+e, A(( the three assi*nments are t' #e %'mp(eted #y due dates and need t' #e
su#mitted 8'r e a(uati'n #y Amity Uni ersity+8, The students ha e t' atta%hed a s%an si*nature in the 8'rm+
Si*nature 999999999999999999999999999999999 !ate 999999999999999999999999999999999
) : , Ti%6 mar6 in 8r'nt '8 the assi*nments su#mittedAssi*nment
;A<Assi*nment ;"< Assi*nment ;C<
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uantitati e Te%hni-ues in Mana*ement
Se%ti'n A
All questions carry equal marks.
1. Define Quantitative Techniques. Name the two major divisions in which you can divide thesetechniques. Ex lain the modus o rendii of each and !ive names of a few techniques under eachcate!ory.
". a. #how for the followin! function f$x% & x ' 1(x has its )i value !reater that its ax value.
*. An enquiry into the faculty *ud!ets of middle class families !ave the followin! information!iven *elow.
+. a. ,alculate the )ean- )edian and #tandard Deviation of the followin! data
a!es / to $0s.% 1 +2 3 42 5 62 12 1"2
No. of orkers 1" +2 4 125 1 5 "2" """ "+2
*. Also calculate
a. ,oefficient of correlation
*. 7nterquartile 0an!e $Q+8Q1%
c. #kewness
3. a. Two *rands of tyres are tested with the followin! results.
9ife $in thousands of :ms% ;rand A ;rand ;
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"28" < 4
" 8+2 1 "2
+28+ 1" +"
+ 832 1< +2
3283 1+ 1"
3 8 2 6 2
hich *rand of tyre would you use on the fleet of trucks and why=
*. Answser the followin! !uestions.
1. The income of a erson in a articular week is 0s. o er day. >ind mean deviation of his
income for the week.". The median and variance of a distrthution are + ? ". 4 er day. >ind median and variance ifeach o*servation is multi lied *y +.
+. The mode and standard deviation of a distrn*ution are and 3.++ res ectively. >ind modeand standard deviation if < is added to each o*servation.
3. The mean and standard deviation of a distri*ution are 1 ? w res ectively. >ind meamn andstandard distri*ution if each o*servation is multi lied *y .
. a. Define the followin! )atrix with an exam le of each.
a. 0ow )atrix *. ,olumn )atrix c. @ero or Null )atnx
d. square )atrix e. Dia!onal )atrix f. #calar )atrix
!. unit or dentity )atrix h. / er Trian!ular )atrix i. 9ower Trian!ular )atrix
j. ,om ara*le )atrix k. Equal )atrix
. *. #olve the followin! equations usin! )AT07x method.
8"x y ' +B & 6
x.'.y.'.x &84.
xo8.y.'.B &8".
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Se%ti'n "
1+ T4' 4'men %ust'mers are rand'm(y se(e%ted in a super mar6et and are as6ed t' taste =
di88erent types '8 $ui%es and ran6 them in 'rder '8 pre8eren%e 8r'm =)#est, t' 1)(eastdesira#(e,+ The resu(ts are as 8'(('4s+
>ui%es A " C ! E G
MANU 2 1 ? 3 @ =
sONU 1 3 2 ? @ =
1. ,alculate the 0ank ,orrelation and ,oefficient.
". 7s the relationshi si!nificant=
". a. >it a strai!ht line trend *y the method of least square to the followin! data.
Cear roduction
1661 "32
166" "
166+ ""
1663 "42
166 "<2
*. Estimate the likely roduction for the year "o2o.
%+ 4hen 4i(( the pr'du%ti'n #e d'u#(e that '8 year 1BB3
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CASE STU!&
,ase #tudy
The marks o*tained *y seven students in #tatistics and Accountancy are as follows
A!e$F% 4 3" +4 35 36 3" 42 5" 4+
;lood 135 1" 11< 1"< 13 132 1 142 136 1 2
ressure$C%
i. Given the form of the scattered dia!ram- does it a ear that a strai!ht line rovides an
accurate
model for the data=
ii. >ind the correlation coefficient *etween A!e$F% and ;lood ressure$C% and discuss its
nature.
iii. >ind the two lines of re!ression.
iv. Estimate the *lood ressure of a woman whose a!e is 3
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b. applied mathematicsc. applied commerced. ramatics
Ques./ he mean of /, 12, 2&, 20, 1 is
a. 1&b. 1-c. 1(.&d. 1-.&
Ques. 3 456c7 8
a. 3 4 576n cb. 3 4 5763 cc. 3 4 576cd. 56c.
Ques. %idterm e!am scores for a small advanced neuroanatomy class are provided belo'. Scoresrepresent percent of items marked correct on the e!am.
/, ,/(, /, &,/(,#(, , /, #he mode of the distribution
a. /(b. /c.d. &
Ques.10 hich measure of *entral tendency is most efficient
a. %eanb. %edianc. %oded. "ll are equale.
Ques.11 %ean eviation can be calculated from
a. %eanb. %edianc. %ode.d. "ll the three
Ques.12 Qualitative data are
a. Non9numericb. Numeric
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c. *an be bothd. None
Ques.1# he numeric data that have a finite number of possible values is calleda. *ontinuous datab. iscrete data
c. atumd. None
Ques.1& he *oefficient of :ariance is e!pressed as
a. *: 8 .S . 5 100 5 mean
b. *: 8 .S .5 mean
c. *: 8 . 5 mean . 5 100 S
d. *: 8 45 9 5 mean 7
Ques.1( hich one is unaffected by e!treme scores
a. %eanb. %edianc. %oded. )ange
Ques.1- " storeo'ner kept a tally of the si;es of suits purchased in her store. hich measure of centraltendency should the storeo'ner use to describe the average suit sold<
a. %eanb. %edianc. %oded. None
Ques.1/ he correlation coefficient, r 8 91, implies
a. =erfect negativeb. =erfect positivec. No correlation
d. >imited correlation
Ques.1 ?f t'o variables changes in the opposite direction and in the same proportion, the correlationbet'een the t'o is
a. =erfect positiveb. >imited positive
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c. >imited Negatived. =erfect negative
Ques.1 he value of @rA gives the magnitude of correlation and its sign denotes its
a. :alueb. irectionc. Bothd. None
Ques.20 By the )ank method the value of ) is 90./# it suggests a
a. fairly strong negative relationshipb. fairly strong positive relationshipc. =erfect negatived. =erfect positive
Ques.21 he range of the correlation coefficient is<
a. 91 to 0.b. 0 to 1.c. 91 to 1.d. None of the above.
Ques.22 hen looking at a sequence of monthly postal revenue data, 'e note that the revenue isconsistently highest in ecember. he high ecember revenue is an illustration of
a. trendb. seasonal variationc. irregular fluctuationsd. a cycle
Ques.2# hich of the follo'ing is N$ an assumption of the Binomial distribution<
a. "ll trials must be identical.b. "ll trials must be independent.
c. Cach trial must be classified as a success or a failure.d. he probability of success is equal to .( in all trials.
Ques.2&.?n )egression "nalysis the independent variable is also kno'n as
a. )egressed variable
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b. )egressor variablec. )andom variabled. "ll of the above
Ques.2(.Diven that 'e have collected pairs of observations on t'o variables 5 and E , 'e 'ould consider
fitting a straight line 'ith 5 as an e!planatory variable if
a. the change in E is an additive constant.b. the change in E is a constant for each unit change in 5c. the change in E is a fi!ed percent of Ed. the change in E is e!ponential
Ques.2- ?n )egression "nalysis, a single regression line is obtained in case if
a. r 8 F1b. r 8 91c. r 8 F1d. r 8 0
Ques.2/ he regression "nalysis Studies
a. one9'ay causal effectb. t'o9'ay causal effectc. interdependence of the variablesd. dependence of the variables
Ques.2 *orrelation *oefficient is the 999999999999999bet'een the regression coefficients
a. arithmetic meanb. geometric meanc. harmonic meand. median
Ques.2 Dradual shifting of a time series over a long period of time is called
a. periodicity.b. cycle.c. regression.d. trend.
Ques.#0 he trend component is easy to identify by using
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a. moving averagesb. e!ponential smoothingc. regression analysisd. the elphi approach
Ques.#1 Seasonal components
a. cannot be predicted.b. are regular repeated patterns.c. are long runs of observations above or belo' the trend line.d. reflect a shift in the series over time.
1. Ques.#2 hat probability is sho'n on the :enn diagram by the shaded region belo' t probability issho'n on the :enn diagram belo'
a. a. p4"7b. b. p4B7
c. p4" and B7d. p4not B7
Ques.## "t San+ay %iddle School, # out of ( students make honor roll. hat is the probability that astudent does not make honor roll<
a. -(Gb. &0Gc. -0Gd. None of the above
Ques.#& ?n a class of #0 students, there are 1/ girls and 1# boys. Hive are " students, and three of thesestudents are girls. ?f a student is chosen at random, 'hat is the probability of choosing a girl or an "student<
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a. 1 6#0b. 116(0c. 126#0d. 1(6&0
Ques.#( ?n a shipment of 100 televisions, - are defective. ?f a person buys t'o televisions from that shipment, 'hat is ththat both are defective<
a. #6100b. 16##0c. 62(00d. -6100
Ques.#- Hind the correlation coefficient r45, E7 bet'een 5 and E,'hen
*ov45,E7 8 92.&(, :ar 457 8 .2( and :ar 4E7 8 21.&
a. 0.1b. I 0.1c. 0.#-d. I 0.#-
Ques.#/ " coin is tossed ( times. hat is the probability of getting atleast # heads<
a. 162b. 16#c. 16&d. 16(
Ques.# Normal istribution is symmetrical about its
a. Jarmonic meanb. %eanc. )anged. Standard deviation
Ques.# ?n Normal istribution (G of the observations fall 'ithin 2 standard deviations of the mean, thatis, bet'een
a. K 9 L and K FL
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b. K 9 2L and K F2Lc. K 9 #L and K F#Ld. Not defined
Ques.&0 *ondition for the "pplicability of Binomial istribution
a. here should be a finite number of trials.b. he trials do not depend on each other.c. Cach trial should have only t'o possible outcomes, either a success or a failure.d. "ll of the above