5 QTM Assignment Cycle-6.doc

8/10/2019 5 QTM Assignment Cycle-6.doc

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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<



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 ;



"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".



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



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



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



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



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



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



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<



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



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

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