Ms8 Question bank (10)
Ms8 Question bank
Ms8 june 2007
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS8 june, 2007
MS8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
1.Distinguish between decision making under certainty and decision making under uncertainty. Mention certain methods for solving decision problems under uncertainty. Discuss how these methods can be applied to solve decision problems.
2. Use Cramer's rule for a 3 x 3 system of linear equations to solve the following system :
2x  y + 3z =3
xy+3z= 6
x2yz= 2
3. From the data given below, compute the quartile deviation
Monthly wages (Rs) 
No. of workers 
Below 850 
12 
850900 
16 
900950 
39 
9501000 
56 
10001050 
62 
10501100 
75 
11001150 
30 
1150 and above 
10 
4. The members of a Consulting firm rent cars from three rental agencies : 60% from agency l , 30% from agency 2 and 10% from agency 3. if 9% of the cars from agency 1 need a tuneup 20%. of the cars from agency 2 need a tuneup and 6% of the cars from agency 3 need a tuneup, what is the probability that a rental car delivered to the firm will need a tuneup ?
5. To see whether silicon chip sales are independent of where the US economy is in the business cycle, data have been calculated on the weekly sales of a firm and on whether the US economy was rising to a cycle peak, at a cycle peak, falling to a cycle peak or at a cycle trough. The results are






High 
medium 
low 
total 
Economy at peak 
20 
7 
3 
30 
Economy at trough 
30 
40 
30 
100 
Economy rising 
20 
8 
2 
30 
Economy falling 
30 
5 
5 
40 

100 
60 
40 
200 
State the null hypothesis. At 0.10 significance level, what is your conclusion ?
(Given the tabulated value of test statistic is 10.645)
6. Write short notes on any three of the following :
(a) Concept of Maxima and Minima
(b) Types of classification of data
(c) Pascal Distribution
(d) Multistage sampling & Multiphase sampling
(e) BoxJenkins Models for Time Series
7. In order to test whether marathon races are bad for health, a researcher took a random sample of 400 runners who participated in the Delhi halfmarathon and found that 13% of them got sick in the twoweek period after the marathon. In a second sample of 400 runners who did not participate in the marathon, only 3% were sick in the same twoweek period. What would be the null hypothesis ? Find
a 9o% confidence interval for the percentage of Delhi halfmarathon runners who got sick in the twoweeks after the race.
8. A study by a roadways company on the effect of busticket prices on the number of passengers produced the following results :
Ticket price Rs 
Passengers per 100 km 
25 
800 
30 
780 
35 
780 
40 
660 
45 
640 
50 
600 
55 
620 
60 
620 
Develop the estimating equation that best describes the data. Predict the number of passengers per 100 miles if the ticket were Rs. 10.
Ms8 june 2008
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS8 june, 2008
MS8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
 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 
1020 
9 
2030 
18 
3040 
31 
4050 
17 
5060 
16 
6070 
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)Autoregressive (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
Ms8 june 2009
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS8 june, 2009
MS8 : 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
x2y+z= 4
3xy2z= 3