MS-8

MANAGEMENT PROGRAMME

Term-End Examination

December, 2009

In MS-8 : QUANTITATIVE ANALYSIS FORMANAGERIAL APPLICATIONS

Time : 3 hours Maximum Marks : 100

(Weightage 70%)

Note :

Section A has six questions, each carrying 15 marks.

Attempt any four questions from this section.

Section B is compulsory and carries 40 marks. Attempt

both questions.

(iii) Statistical tables may be supplied on request.

SECTION-A

1. The following data describes the age at whichemployees reach to the level of 'senior manager'in a multinational company.

BelowAge in years 34.5-37.5 37.5-40.5 40.5-43.5 Over 43.5

34.5No of peoplereaching the level

14 60 95 24 7

Find the quartile deviation.

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P.T.O.

In a bolt factory, machines A, B, C manufacturerespectively 25%, 35% and 40% of the totalproduction. Of their output 5%, 4% and 2%respectively are defective bolts. A bolt is drawnat random and is found to be defective. What isthe probability that it is manufactured bymachine B ?

Describe the design of stratified sampling. Whatis a strata ? Discuss about proportional allocationand disproportional allocation.

4. In a study to test whether there is differencebetween the average heights of adult females bornin two different countries, random samplesyielded the following results.

n1 = 120

xl = 62.7 = 2.50

n2 =150 X 2 = 61.8 s2 = 2.62

where the measurements are in inches. Use 0.05level of significance to test the difference betweenthe average heights.

5. Find the most likely price of commodity A inMumbai corresponding to the price of Rs. 70 atKolkata from the following data.Average Price in Kolkata Rs. 65Average Price in Mumbai Rs. 67Standard Deviation of prices in Kolkata Rs. 2.5Standard Deviation of prices in Mumbai Rs. 3.5Correlation coefficient between two + 0.8prices in two towns

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6. Write short notes on any three of the following :

Cramer's Rule.

Exponential Smoothing.

More than type ogive.

Cumulative Density Function (cdf) of acontinuous random variable.

(e) Power curve of a test.

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SECTION-B

In a locality containing 18000 families a sampleof 840 families was selected at random. Of these840 families 206 families were found to have aweekly income of Rs. 500 or less. It is desired toknow how many out of 18000 families have aweekly income of Rs. 500 or less. Use 3 sigmalimits.

A tour operator charges Rs. 136 per passengerfor 100 passengers with a discount of Rs. 4 forevery group of 10 passengers in excess of 100.Determine the number of passengers that willmaximize the amount of inoney the tour operatorreceives.

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