Dec 2021 ignou mmpc 05 previous year question answer
Q1. What do you understand by probability sampling methods? Explain the various types of probability sampling.
Q2. Find the coefficient of correlation from the following data
| Fertilizer used (in metric tonnes) | Productivity (in metric tonnes) |
| 15 | 85 |
| 18 | 93 |
| 20 | 95 |
| 24 | 105 |
| 30 | 120 |
| 35 | 130 |
| 40 | 150 |
| 50 | 160 |
Q3. Assume the mean height of soldiers to be 68·22 inches with a variance of 10·8 inches. How many soldiers in a regiment of 1000 would you expect to be over 6 feet tall ? (Given : From Z table area between 0 and 1·15 = 0·3749)
Q4. “The primary purpose of forecasting is to provide valuable information for planning the design and operation of the enterprise. Planning decisions may be long-term, medium-term and short-term.” In view of the statement, explain the application of forecasting for long-term decisions.
Q5. What do you understand by the term “Probability theory” ? Explain different approaches to Probability theory.
- Write short notes on any three of the following:
(a) Mathematical Properties of Median
(b) Normal Distribution
(c) One-Tailed Test
(d) Hypothesis Testing Procedure
(e) Regression Analysis
Section B
Q7. What do you understand by the term “classification of data”? What is the main reason of classifying data? Also, explain some common types of classification.
Q8. A coin is tossed 6 times. What is the probability of obtaining 4 or more heads? What is the probability of getting at least 2 heads?
June, 2022 ignou mmpc 05 previous year question answer
Q1. “The standard deviation is the most widely used and important measure of variation.” Comment on the statement. Also, discuss the properties of a good measure of variation.
Q2. From the following data, compute arithmetic mean by short-cut method:
| Marks | No. of Students |
| 0-10 | 5 |
| 10-20 | 10 |
| 20-30 | 25 |
| 30-40 | 30 |
| 40-50 | 20 |
| 50-60 | 10 |
Q3. Find the coefficient of correlation between X and Y from the following data
| X | Y |
| 1 | 12 |
| 2 | 11 |
| 3 | 13 |
| 4 | 15 |
| 5 | 14 |
| 6 | 17 |
| 7 | 16 |
| 8 | 19 |
| 9 | 18 |
Q4. “Time series analysis is one of the most powerful methods in use, especially for short-term forecasting purposes.” Comment on the statement. Also, explain the decomposition method.
Q5. What are the various key issues in decision theory? Explain the decision tree approach.
Q6. Write short notes on any three of the following:
(a) Coefficient of variation
(b) Bayes’ theorem
(c) Probability sampling method
(d) Correlation coefficient
(e) Chi-square distribution
Section – B
Q7. A company that manufactures batteries guarantees them a life of 24 months.
(i) If the average life has been found in tests to be 33 months and a S. D. of 4 months, how many will have to be replaced under guarantee if a normal distribution is assumed for battery lifetimes?
(ii) If annual sales are 10,000 batteries at a profit of Rs. 50 each and each replacement costs the company Rs. 100, find the net profit.
Q8. What do you understand by the term “Hypothesis” ? Explain null and alternate hypothesis along with the help of examples.
