QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

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 ?