No. of Printed Pages : 11 MMPC–005MANAGEMENT PROGRAMME (MP) /MASTER OF BUSINESS ADMINISTRATION IN HEALTH CARE AND HOSPITAL MANAGEMENT (MBAHCHM) /MASTER OF BUSINESS ADMINISTRATION (LOGISTICS & SUPPLY CHAIN MANAGEMENT) (MBALS) /MASTER OF BUSINESS ADMINISTRATION (CONSTRUCTION MANAGEMENT) (MBACM)
Term-End Examination
December, 2025
MMPC-005 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
Time : 3 Hours Maximum Marks : 100
Note :
(i) Section A has six questions, each carrying 15 marks. Attempt any four questions.
(ii) Section B is compulsory and carries 40 marks.
(iii) Use of calculator is permissible.
Section—A
1. What do you understand by time series? What are the four major components in a time series analysis? Is the relationship between these four components multiplicative or additive or could be any of them? Give the equations of the relationship.
2. What is a frequency distribution? What are the general guidelines of forming a frequency distribution with particular reference to the choice of class intervals and number of classes?
3. Seven methods of imparting business education were ranked by MBA students of two universities as follows :
| Method of Teaching | Rank by Students of Univ. A | Rank by Students of Univ. B |
|---|---|---|
| I | 2 | 1 |
| II | 1 | 3 |
| III | 5 | 2 |
| IV | 3 | 4 |
| V | 4 | 7 |
| VI | 7 | 5 |
| VII | 6 | 6 |
Calculate Rank Correlation Coefficient and interpret the results.
4. Find the median and 3rd quartile for the following distribution :
| Class Interval | Frequency |
|---|---|
| 50–60 | 1 |
| 60–70 | 4 |
| 70–80 | 5 |
| 80–90 | 3 |
| 90–100 | 5 |
| 100–110 | 6 |
| 110–120 | 4 |
| 120–130 | 6 |
| 130–140 | 4 |
| 140–150 | 4 |
| 150–160 | 2 |
5. The customer accounts of a certain departmental store have an average balance of ₹120 and a standard deviation of ₹40. Assuming that the account balances are normally distributed, what proportion of the accounts is over ₹150? (Given the area between mean and required value for calculated statistic is 0.2734.)
6. Write short notes on any three of the following :
(a) Precautions in the use of secondary data
(b) Relative Skewness
(c) Cluster Sampling
(d) Mode
(e) Two-tailed tests
Section—B
7. Why is forecasting so important in business? Identify applications of forecasting for the following :
(a) Long-term decisions
(b) Medium-term decisions
(c) Short-term decisions
8. A marketing manager wants to know if display at point of purchase helps in increasing the sales of his product. Unless there is strong evidence to the contrary, he is likely to believe that such displays do not affect sales.
He picks up 70 retail shops where there is no display and finds that the weekly sale in these shops has a mean of ₹6,000 and S.D. of ₹1,004. Similarly, he picks up a second sample of 36 retail shops with display at point of purchase and finds that the weekly sale in these shops has mean of ₹6,500 and S.D. of ₹1,200.
What should he conclude at a significance level of 5%? (Given the tabulated value of test statistic is 1.645.)
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