MS-8: Quantitative Analysis for Managerial Applications, Question Paper 2008

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MANAGEMENT PROGRAMME
Term-End Examination
June, 2OO8

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

M.M : 700                                 Time : 3 hours                      (Weishtage 70%)

Note :
(i) Section A has six questions, each carrying 15 marks. Attempt any four questions from this section.
(ii) Section B is compulsory and carries 40 marks Attempt both questions.
(iii) Statistical tables may be supplied on request.

SECTION A

Q1. What factors in modern society contribute to the increasing importance of quantitative approach to management ? List one application of quantitative techniques in each functional area of management.

Q2. The demand for a certain product is represented by the equation p = 20 + 5q - q2, where q is the number of units demanded and p is the price per unit. Find marginal revenue function. What is the marginal revenue at q = 2 ?

Q3. From the frequency distribution, find the standard deviation using the formula for the grouped data :

Class Interval Frequency
10 - 20 9
20 -30 18
30 - 40 31
40 - 50 17
50 - 60 16
60 - 70 9
Total 100

Q4. drawer contains 50 bolts and 150 nuts. Half of the bolts and half of the nuts are rusted. If one item is chosen at random, what is the probability that it is rusted or a bolt ? In a study to test whether there is a difference between the average height of adult females born in two different
countries, random samples yielded the following results :
       n1 = 12O, X1 = 62.7 , S1 = 2.50
       n2: 150, X2 : 61.8 , S2 = 2.62
where the measurements are in inches. Use 0.05 level of significance to test the difference between ti-re average heights.

Q6. Write short notes on any three of the following :
    (a) Step functions
    (b) significance of Measures of Dispersion
    (c) Criteria of Optimism
    (d) The F distribution
    (e) Auto-regressive (AR) models

SECTION B

Q7 . Given below are figures of production (in thousand kilos) for a sugar factory. Obtain the secular trend by fitting a straight line.

Years 2000 2001 2002 2003 2004 2005 2006
Production 12 10 14 11 13 15 16

Q8. Find the area under the standard normal curve, which lies
      (a) to the left of z = 0.94
      (b) to the right of z = 0.65
      (c) to the right of z = 1.7 6
      (d) between z = 0.34 and z = 0.62