Ms-8 Question bank (12)
Ms-8 Question bank
Ms-8 june 2011
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 june, 2011
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
- You are given the frequency distribution of 292 workers of a factory according to their average weekly income. Calculate quartile deviation and its coefficient from the following data :
|
Weekly Income (Rs.) |
No. of workers |
|
Below 1350 |
8 |
|
1350-1370 |
16 |
|
1370-1390 |
39 |
|
1390-1410 |
58 |
|
1410-1430 |
60 |
|
1430-1450 |
40 |
|
1450-1470 |
22 |
|
1470-1490 |
15 |
|
1490-1510 |
15 |
|
1510-1530 |
9 |
|
1530 and above |
10 |
2. The Herr- McFee Company, which produces nuclear fuel rods, must X-ray and inspect each rod before shipping. Karen Wood, an inspector, has noted that for every, 1,000 fuel rods she inspects, 10 have interior flaws, 8 have casing flaws, and 5 have both flaws. In her quarterly report, Karen must include the probability of flaws in fuel rods. What is the probability ?
3. The manager of a small postal substation is trying to quantify the variation in the weekly demand for mailing tubes. She has decided to assume that this demand is normally distributed. She knows that on average 100 tubes are purchased weekly and that 90 percent of the time, weekly demand is below 115. What is the standard deviation of this distribution ?
4. The mean length of life of a certain cutting tool is 41.5 hours with a standard deviation of 2.5 hours. What is the probability that a simple random sample of size 50 drawn from this population will have a mean between 40.5 hours and 42 hours ?
5. Before an increase in excise duty on tea, 400 people out of a sample of 500 people were found to be tea drinkers. After an increase in duty, 400 people were tea drinkers in a sample of 600 people. State, whether there is a significant decrease in the consumption of tea. You may use a 5% level of significance.
6. Write short notes on any three of the following
(a) Central Limit Theorem
(b) Stratified Sampling
(c) Less than type Ogive
(d) Level of significance
(e) Coefficient of variation
7. Below are given the figures of production (in m. tonnes) of a sugar factory :
|
Year |
2002 |
2003 |
2004 |
2005 |
2006 |
2007 |
2008 |
|
Production (in m. tonnes) |
80 |
90 |
92 |
83 |
94 |
99 |
92 |
Estimate a linear trend equation and use it to forecast the production for 2009
8. The demand equation faced by DuMont Electronics for its personal computers is given by
P= 10,000 — 4Q, where P= price per unit and
Q= quantity demanded.
(a) Write the marginal revenue equation.
(b) At what price and quantity will marginal revenue be zero ?
(c) At what price and quantity will total revenue be maximized ?
(d) Find the price elasticity of demand at P = 6,000.
Ms-8 Dec 2007
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 Dec, 2007
MS-8 : 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
-x-y+3z= -6
x-2y-z= -2
3. From the data given below, compute the quartile deviation.
|
Monthly wages (Rs.) |
No. of workers |
|
Below 850 |
12 |
|
850-900 |
16 |
|
900-950 |
39 |
|
950-1000 |
56 |
|
1000-1050 |
62 |
|
1050-1100 |
75 |
|
1100-1150 |
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 tune-up , 20%. of the cars from agency 2 need a tune-up and 6% of the cars from agency 3 need a tune-up, what is the probability that a rental car delivered to the firm will need a tune-up ?
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 |
|
Total |
100 |
60 |
40 |
200 |
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) Multi-stage sampling & Multi-phase sampling
(e) Box-Jenkins 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 half-marathon and found that 13% of them got sick in the two-week 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 two-week period. What would be the null hypothesis ? Find a 9o% confidence interval for the percentage of Delhi half-marathon runners who got sick in the two-weeks after the race.
8. A study by a roadways company on the effect of bus-ticket 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.
Ms-8 Dec 2008
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 Dec, 2008
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
l. Explain Hypothesis testing. What are the steps involved in hypothesis testing ? Discuss the two types of .errors in testing of hypothesis
2. A telephone company in a town has 1000 subscribers on its list and collects a fixed charge of Rs. 400 per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of Re.1one subscriber will discontinue the service. Find what increase will bring maximum revenue to the company.
3. A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is l/5. What is the probability that
(a) both of them will be selected ?
(b) only one of them will be selected ?
(c) none of them will be selected ?
(d) at least one'of them will be selected ?
4. To test the effectiveness of training, a group of 5 participants were selected and given a test before and after the training. The result of the tests was as under:
|
Participant |
1 |
2 |
3 |
4 |
5 |
|
Score before training |
10 |
12 |
15 |
18 |
10 |
|
Score after training |
15 |
10 |
18 |
32 |
25 |
Can the training be regarded as effective at 5 percent level of significance ?
5. An automobile company gives you the following information about age-groups and the liking for a particular model of car which is expected to be introduced :
|
Person |
Age less then equal to 20 |
20-39 |
40-59 |
Age greater then equal to 60 |
total |
|
Liked the car |
140 |
80 |
40 |
20 |
280 |
|
Disliked the car |
60 |
50 |
30 |
80 |
220 |
|
Total |
200 |
130 |
70 |
100 |
500 |
On the basis of this data, can it be concluded that the model appeal is independent of the age-groups ?
(Given v = 3, and chi square at 0.05 = 7.815
6. Write short notes on any three of the following :
(a) Minor of an element of matrix
(b) Equally likely events
(c) Advantages of probability sampling
(d) Minimax criterion of decision making
(e) Standard deviation and standard error
7. Obtain the two regression equations for the following data using the method of least squares
|
x |
1 |
2 |
3 |
4 |
5 |
|
y |
5 |
7 |
9 |
10 |
11 |
8. Determine the sample size if sample standard deviation s = 6, population mean : 25, sample mean = 23 and the degree of precision is 99%.
Ms-8 Question bank