MS-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%.