**MANAGEMENT PROGRAMME**

**Term-End Examination**

**MS-8 ****December, 2015**

**MS-8 : 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 questions from this*

*Section.*

*(ii) Section B is compulsory and carries 40 marks. Attempt both questions.*

*(iii) Statistical tables may be supplied on request.*

*(iv) Use of calculator is permissible.*

SECTION **- A**

1. A person pays a total of Z 975 through monthly installments each less than the former by Z 5. The

first installment is ! 100. In how many installments will the amount be paid ?

2. Calculate the harmonic mean from the following frequency distribution :

3. The incidence of a certain disease is such that on an average 20% of workers suffer from it. If 10 workers are selected at random, find the probability that :

(a) Exactly two workers suffer from the disease.

(b) Not more than 2 workers suffer from the disease.

4. Explain the meaning of sampling distribution of a sample statistic. Obtain the sampling distribution of mean in case of sampling from infinite populations.

5. A company wants to study the relation between R and D expenditure (X) and sales (Y) for the ten-year period. Determine the correlation coefficient between these variables.

6. Write short notes on any three of the following :

(a) Identity matrix

(b) Quantiles

(c) Axioms of probability

(d) The power curve of a test

(e) Mixed Auto-regressive - moving average models

**SECTION – B**

7. The mean life of a sample of 10 electric bulbs was found to be 1456 hours with a standard deviation of 423 hours. A second sample of 17 bulbs chosen from a different batch showed a mean life of 1280

hours with a standard deviation of 398 hours. Is there a significant difference between the meansof the two batches ?

8. What is skewness ? Distinguish between Karl Pearson's and Bowley's coefficient of skewness. Which one of these would you prefer and why ?