Ms-8

MS-8

MANAGEMENT PROGRAMME

Term-End Examination December, 2009 In MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL 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 (iii) both questions. Statistical tables may be supplied on request.

SECTION-A

1.

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

Age in years No of people reaching the level Below 34.5-37.5 37.5-40.5 40.5-43.5 Over 43.5 34.5 14 60 95 24 7

Find the quartile deviation.

MS-8

1

P.T.O.

In a bolt factory, machines A, B, C manufacture respectively 25%, 35% and 40% of the total production. Of their output 5%, 4% and 2% respectively are defective bolts. A bolt is drawn at random and is found to be defective. What is the probability that it is manufactured by machine B ? Describe the design of stratified sampling. What is a strata ? Discuss about proportional allocation and disproportional allocation. 4. In a study to test whether there is difference between the average heights of adult females born in two different countries, random samples yielded the following results. xl = 62.7 = 2.50 n 1 = 120 X 2 = 61.8 s2 = 2.62 n2 =150 where the measurements are in inches. Use 0.05 level of significance to test the difference between the average heights. Find the most likely price of commodity A in Mumbai corresponding to the price of Rs. 70 at Kolkata from the following data. Rs. 65 Average Price in Kolkata Rs. 67 Average Price in Mumbai Standard Deviation of prices in Kolkata Rs. 2.5 Standard Deviation of prices in Mumbai Rs. 3.5 + 0.8 Correlation coefficient between two prices in two towns 2

5.

MS-8

6.

Write short notes on any three of the following : Cramer's Rule. Exponential Smoothing. More than type ogive....