GLA UNIVERSITY- QT End Term

8/7/2019 GLA UNIVERSITY- QT End Term

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ROLL

NUMBER:..................

NAME OF STUDENT............................... QUANTITATIVE TECHNIQUES SUB COD

QT 01 MBA : GLA University

MAX MARKS: 100 Time: 2 hr MARKS SCORED: ............. Dated: 27th Oct 20

Year: 1st Tri Sem : I

Section I: OBJECTIVES [MM: 1 x 20 = 20]

Part A : Multiple Choice Questions

1. Why is statistics not important for managers?a)To understand the basics of forecasting techniques b)To understand the basic

theorems of statistics

c)To understand how to present and describe information c)To understand the basics of

inferential techniques

2. Which software is not used for statistical analysis?a)Mini Tab b)SPSS c)MS Excel d)Tally

3. Why are data not important for managers?a) It provides an opportunity for decision makers to select one option from a variety

options

b) It provides an opportunity to managers to get increments at regular time intervals

c) It provides more inputs to a given phenomenon under study

d) It measures performance of an ongoing services or production process

4.When data are labels or names, used to identify an attribute of an element,a/an_____________ is used.

a)Nomi1nal scale b)Ratio scale c)Interval scale d)Ordinal sca

5.In _________________, the distance between two consecutive numbers is meaningful.a) Interval level measurement b)Ordinal level measurementc)Ratio level measurement d)Nominal level measurement

6.In which scale of measurement the ratio of two values is meaningful?

a) Nominal level measurement b)Ordinal level measurement

c) Ratio level measurement c) Interval level measurement

7. A ______________is the collection of all the elements under statistical investigation andabout which we are trying to draw some conclusions.

a) Population b) Sample c) Statistics d) Parameter


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8. The tendency of the observations to concentrate around a/an ____________ is known ascentral tendency.

a)beginning point b)central point c)randomly selected point d) endpoint

9. The arithmetic mean of a set of observations is their _________ divided by the number

observations.

a) multiplication b) Addition c) Subtraction d) Division

10. ______________ is a graphical device for depicting data that have been summarized in frequency, relative frequency or percentage frequency

a)Frequency Polygon b) Ogive c)Bar Graph d)Pie Chart

PART B: TRUE / FALSE

11. Collection of data is not a big problem but meaningful interpretation of data require

a sound knowledge of statistics.

(True / False )

12. Although the size of business is increasing every day, yet there is no increase in

complexities and problems.

(True / False )

13. In all the functional areas of business, like accounting, finance, management, and

marketing, knowledge of statistics is a key fo r decision making. (True / False )

14. The use of various statistical software like MS Excel, Minitab, SPSS, and SAS has

reduced the burden of computing.

(True / False )

15. The scale of measurement of a variable is a nominal scale when data are labels

to identify an attribute of the element. (True / False )

16. Weighted mean is useful in problems relating to the construction of index

numbers and standardized birth and death rates. (True / False )


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17. Personal Identification Number (PIN) is an example of ordinal level data. (True /

False )

18. In the interval level measurement, the distance between two consecutive numbers

not meaningful.

(True / False )

19. A measure of central tendency is a single value which is used to represent an entire

set of data. (True / False )

20. Arithmetic mean is based on very few observations of a series and is not capable of

further mathematical treatment.

(True / False )

ROLL

NUMBER:..................

NAME OF STUDENT............................... QUANTITATIVE TECHNIQUES SUB CODE

QT 01 MBA : GLA University

MAX MARKS: 100 Time: 2 hr MARKS SCORED: ............. Dated: 27th Oct 2010

Year: 1st Tri Sem : I

Section II: Case Study

ANSWER ALL QUESTIONS. EACH QUESTIONS CARRY EQUAL MARKS.

[MM: 3x 10 = 30]

Q1. A marketing research company goes for the in depth research for a FMCG company a

try to find reasons for the market variations for its demand. In the process it revels throu

the response of the customers following data. Find the correlation between the t

parameters based on their grades using RANK correlation method.

X 24 27 28 29 30 32 33 35 31 40 25

Y 18 20 22 25 21 28 30 32 27 19 23


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Q2. Find the REGRESSION coefficient bxy & byxfor the following data using step deviation

method.

Production (X) in

`000

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

10

8

10

9

11

0

Demand (Y) in

tonnes

98 99 96 97 95 92 94 91 93 10

0

90

Also calculate DEMAND at 1,15,000 Units of production.

Q3. In a certain industry the Sales of the certain commodity from year 1973

1983 in (`000 tonns) is given. Obtain following using Least square method.

i) Least square estimates

ii) Trend equations

iii) Compute value for 84th and 85th Year

Year

( X)

197

3

197

4

197

5

197

6

197

7

197

8

197

9

198

0

198

1

198

2

198

3

Sales(Y) 66 84 88 78 96 105 92 111 88 117 115

SECTION III: NUMERICAL BASED QUESTIONS

ANSWER ANY FIVE QUESTIONS. EACH QUESTIONS CARRY EQUAL MARKS.

[MM: 5 x 10 = 50]

Q1. Define Sampling. Also explain in detail any three types of sampling that can be useby the Market Researcher of mentioned below.

[10]

i) Simple Random Samplingii) Cluster Samplingiii) Systematic Samplingiv) Judgement Samplingv) Quota Sampling

Q2. a) What do you mean by regression? Explain the importance of Regression. Alsocompare between correlation and regression.

[5]

b) Find the Regression equation for the following question for following data[5]

i) X on Y ii) Y on XGiven correlation (r) betweenrainfall and production is 0.8

Q3. Construct the PRICE INDEX numberfor following data for mentioned belowmethods:- [10]

Averag

e

Standard

Deviation

Rain fall (in

inches)

30 5

Production (in

Tonn)

50 10


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i)Paaschess Index

ii)Fishers Index

iii)Bowelys Index

iv)Laspayers Index

v)Marshalls Index

Q4. A) Write the Formulae`s or Conditions for ANY FIVE terms in context to Probabil[5]

i) Bayes Theoremii) Bernoullis (Binomial) Theoremiii) Permutation & Combinationiv) Mutually Exclusive Eventv) Pair wise Independent & Mutually

Independent Eventvi) Addition & Multiplication

B) First bag contains 3 white and 4 redballs. Second bag contains 5 white and 6red balls. One red balls is drawn at

random from one bag and found to beWHITE. Find probability that it is from 1st Bag. [5]

OR

Q4.A) Define Bernoullis process with reference to Binomial Distribution in Probability.Also write expressions for Mean, Variance and Standard deviations.

[3]

B) The incidence of the occupational disease in an industry is such that the worker have20% chance of suffering from it. Using Binominal theorem, calculate the probability tha

out of 6 workers, 4 or more will get contact with disease.[7]

Q5. In a bolt factory machine A,B & C manufacture respectively 25%, 35% and 40% of the

total production. If the output is 5%, 4% and 2% defective bolts. A bolt is drawn at random

from the product and is found to be defective. What is probability that it was

manufactured by machine B. 10]

OR

Q5. A problem in statistics is given to 3 students A,B & C. The probability to solve thequestion for P(A)=1/2, P(B)=3/4, P(C) = 1/4. Find the probability that either A or B or C

can solve the question. 10]

Q6.A) Explain Time series Analysis under the perspective of

[6]

i)Trend Analysis ii) Seasonal Variations

iii) Cyclic Variations iv) Irregular Variations

Year 1997 1998

Price Quantity Price Quantity

A 2 8 4 6

B 5 10 6 5

C 4 14 5 10

D 2 19 2 13


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B) Data below gives the average quarterly prices of a commodity for 4 years. Calculat

the Seasonal

indices. [4]

Q7.a) What is Cha

Index Number. Write the expression for CHAIN INDEX and advantages and disadvantage

of Chain Index Number.

[4]

b) Following data gives average whole sale price for the 4 groups of commodity from year

79 to 83. Commute CHAIN based Index Number.

[6]

Year 1st

Quarter

2nd Quarter 3rd

Quarter

4th

Quarter

2001 40 44 46 48

2002 50 53 55 59

2003 47 50 52 55

2004 55 59 61 65

Commodity \

Year

1979 1980 1981 1982 1983

A 2 3 4 2 7

B 3 6 9 4 3

C 3 12 20 8 16

D 5 7 18 11 22

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GLA UNIVERSITY- QT End Term