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Ms-8 june 2008

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MS-8   june, 2008

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

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

2. 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 ?

3 From the frequency distribution, find the standard deviation using the formula fcr 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

4. A 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 ruste,C or a bolt ?

5. 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= 120 , mean of x1= 62.7 , and s1=2.5

n2= 150 , mean of x2= 61.8 , and s2=2.62

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

 

6. Write short notes on any threeof the following :

(a) Step functions

(b) significance of Measures of Dispersion

(c) Criteria of Optimism

(di The F disiribution

e)Auto-regressive (AR) models

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

8.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

Years

2000

2001

2002

2003

2004

2005

2006

Production

12

10

14

11

13

15

16

(c) to the right of z =1.76

(d) between z =0.34 and z =0.62

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