Ignou-MBA Question paperMS8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
MANAGEMENT PROGRAMME
Term-End Examination
December, 2005
MS8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
Time: 3 hours
Maximum Marks: 100
(Weightage 70%)
Note : (i) Section A has six questions, each carrying 15 marks. Attempt any four.
(ii) Section B has two questions. Section B is compulsory and carries 40 marks.
(iii) Statistical tables may be supplied on demand.
SECTION A
1. A group operates a chain of filling stations in each of which are employed cashiers, attendants and mechanics as shown below.
| Type of filling stations | |||
| Large | Medium | Small | |
| Casheirs | 4 | 2 | 1 |
| Attendants | 12 | 6 | 3 |
| Mechanics | 6 | 4 | 2 |
The number of filling stations are
| Southern India | Northern India | |
| Large Stations | 3 | 7 |
| Medium Stations | 5 | 8 |
| Small Stations | 12 | 4 |
How many of the various types of staff are employed in Southern India and in Northern India ?
2. Find the inter quartile range from the following data :
| Class Interval | Frequency |
| 0 – 15 | 8 |
| 15 – 30 | 26 |
| 30 – 45 | 30 |
| 45- 60 | 45 |
| 60 – 75 | 20 |
| 75 – 90 | 17 |
| 90 -105 | 4 |
3. The members of a consulting firm rent cars from three rental agencies , 60 percent from agency 1, 30 percent from agency 2 and 10 percent from agency 3. If 9 percent of cars from agency 1 need a tune-up, 20 percent of the cars from agency 2 need a tune-up and six percent 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?
4. A soft drink vending machine is set so that the amount of drink dispensed is a random varlable with a mean of 200 ml and a standard deviation of 15 ml. What is the probability that the average (mean) amount dispensed in a random sample of size 36 is at least 204 ml ?
5. What is a Normal Distribution ? Mention the properties of Normal Distribution. Discuss when Normal Disiribution is a good approximation to Binomial Distribution.
6. Write short notes on any three of the following :
(a) Derivative of a quotient of two funciions
(b) Guidelines for choosing the Class lnterval
(c) Criterion of Pessimism
(d) Stratified Sampling
(e) Cyclical variation in Time Series
SECTION B
7. Preference prices and debenture prices of a certain company are given below :
| Preference Prices (x) | Debenture Prices |
| 73.2 | 97.8 |
| 85.8 | 99.2 |
| 78.9 | 98.8 |
| 75.8 | 98.3 |
| 77.2 | 98.5 |
| 81.2 | 96.7 |
| 83.8 | 97.1 |
Use the method of Rank Correlation to determine the relationship between preference prices and debenture prices.
8. The average marks of studen is in a class is 79. The standard deiviation is 5. If the marks are distributed normally, how many students, in a class of 200 did not receive marks behween 75 and 82 ?
Given :
P (0 ≤ z ≤ 0.7) = 0.2580
P (0 ≤ z ≤ 0.8) = 0.288
P (0 ≤ z ≤ 0.6) = 0.2257
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