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## Ms-8 june 2009

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MS-8   june, 2009

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1. An analysis of the hourly wages paid to workers in two firms A and B belonging to the same industry gives the following results :

 Firm A Firm B Number of wage earner 586 648 Average hourly   wage 52.5 47.5 Variance of the distribution of wage 100 121

2. Which firm, A or B pays out the larger amount as hourly wages ? In which firm A or B, is there greater variability in individual wages ? Bag A contains 2 white and 3 red balls and bag B contains 4 white and 5 red balls. One ball is d.rawn

at random from one of the bags and is found to be red. Find the probability that it was drawn from bag A.

3.What do you understand by probability sampling ? Describe stratified and cluster sampling designs. Vhat is the difference between a cluster and a strata ?

4. A course in Quantitative Applications is taught to 12 students by conventional classroom procedure. A second group of 10 students was given the same course by programmed materials. The same examination was given to each Soup at the end of the course. The 12 classroom sfudents scored 85 marks on an average with the standard deviation 4, while 10 students using programmed material scored SL marks on an average with a standard deviation of 5. Test whether the two methods of learning are equally effective ? Use 0.10 level of significance.

5.The information given below relates to the advertisement and sales of a company (in lakhs of Rupee) :

 Advertisement Expendifure (X) Sales (Y) Arithmetic Mean 20 100 Standard Deviation 3 12

Correlation coefficient between X & Y = 0.8

(a) Find the two regression equations.

(b) What should be the advertisement expenditure if the company wants to attain sales target of Rs 120 lakhs ?

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

(a) Marginal Revenue

(b) Exponential Smoothing

(c) Less than type Ogive

(d) Probability densify tunction (pdf)

(u) Significance level

7. In a random sample of 500 people of a ctty, it was found that 160 preferred seafood. Find a 95% confidence interval for the actual proportion of people who preferred seafood.

8. Solve the following system of linear equations using matrices :

2x+3y+3z=5

x-2y+z= -4

3x-y-2z= 3

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