No. of Printed Pages : 5 MMPC–005
MASTER OF BUSINESS ADMINISTRATION (MBA)
Term-End Examination
December, 2024
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. Attempt both the questions.
(iii) Use of calculator is permissible.
Section—A
1.
“Different issues arise while analysing decision problems under uncertain conditions of outcomes.” Explain the concept of decision theory and certain key issues involved in decision theory.
2.
Calculate the standard deviation from the following data:
| Age | No. of Workers |
|---|---|
| 20–25 | 170 |
| 25–30 | 110 |
| 30–35 | 80 |
| 35–40 | 45 |
| 40–45 | 40 |
| 45–50 | 30 |
| 50–55 | 25 |
3.
In trying to evaluate the effectiveness of an advertising campaign, a firm compiled the following information:
| Year | Ad. Expenditure (₹ ’000) | Sales (₹ lakh) |
|---|---|---|
| 1968 | 12 | 5.0 |
| 1969 | 15 | 5.6 |
| 1970 | 15 | 5.8 |
| 1971 | 23 | 7.0 |
| 1972 | 24 | 7.2 |
| 1973 | 38 | 8.8 |
| 1974 | 42 | 9.2 |
| 1975 | 48 | 9.5 |
Calculate the regression equation of sales on advertisement expenditure.
4.
What do you understand by non-probability sampling methods? Explain the various types of non-probability sampling.
5.
“Time series analysis is one of the most powerful methods in use, especially for short-term forecasting purposes.” Comment on the statement. Also, explain briefly the decomposition method.
6.
Write short notes on any three of the following:
(a) Skewness
(b) Binomial Distribution
(c) Type I Error
(d) The Correlation Coefficient
(e) Cluster Sampling
Section—B
7.
A multiple-choice quiz has 200 questions, each with 4 possible answers, out of which only one is correct. What is the probability (using the normal approximation to the binomial distribution) that sheer guesswork yields from 25 to 30 correct answers for 80 problems (out of the 200 problems) about which the student has no knowledge?
(Tabulated Z value at 2.58 = 0.4951 and Tabulated Z value at 1.29 = 0.4015.)
8.
Explain the various diagrams and graphs that can be used for charting a frequency distribution.
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