# MS-8 (Code: MS-8 BOOK)

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MANAGEMENT PROGRAMME
Term-End Examination
MS-8 December, 2017
MS-8 : QUANTITATIVE ANALYSIS FOR
O 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 rs 975 through monthly installments each less than the former by rs 5. The first installment is rs 100. In how many installments will the amount be paid ?

2. Calculate the harmonic mean from the following frequency distribution :
Class       0 -10      10 - 20    20 - 30    30 - 40
Frequency 5                8            3              4

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.

X (in thousands)  50   50   50    40    30    20    20    15    10    5
Y (in thousands) 700 650 600   500 450   400 300   250 210 200

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 means of 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

MANAGEMENT PROGRAMME Term-End Examination December, 2015
rr) 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 has two questions, each carrying
20 marks. Attempt both the questions from this
section.
(iii) Use of scientific calculator is permitted.
SECTION - A
1. A maruti car is purchased for Rs. 60,000/-. If the depreciation for the first three years is at 15% per annum and for the next two years is at 20% per annum, then calculate the depreciated value of the car at the end of five years.

2. It has been observed that on an average one telephone number out of ten is busy. Using binomial distribution find the probability that if five randomly selected telephone numbers are called
(a) not more than two will be busy
(b) at least four of them are busy

3. A builder employs three types of workers : male, female and children. He pays Rs. 350, Rs. 250 and Rs. 200 per day to a male, female and child worker respectively. Suppose he employs 40 males, 30 females and 10 children, determine

(a) Average wage per day paid by the builder

(b) Average wage per day paid by the builder if the number of males, females and children employed are equal.

4. Two brands of electric bulbs are quoted at the 15 same price. A buyer tested a random sample of 100 bulbs of each brand and found the following : Mean Life Standard Deviation (in hrs) of Life (in his) Brand I 1400 90 Brand II 1350 100 Test the hypothesis that there is a significant difference in the quality of the two brands of bulbs at 5% level of significance. The critical value of Z at 5% level of significance is 1.96.

5. Explain Binomial and Normal distribution. 15 Mention the conditions under which a random variable having a binomial distribution with parameters n and p can be approximated to a random variable having a normal distribution with parameters pL and u. 6. Write short notes on any three of the following :

(a) Linear function

(b) Coefficient of variation

(c) Baye's Theorem

(d) Stratified sampling

(e) Correlation coefficient

SECTION - B 7. Using the method of least squares, find the regression equation of y on x for the data given in the table below :
x 1 2 3 4 5 y 5 9 14 17 20 And from the regression equation obtained, find the value of y corresponding to x = 8

8. Solve the following system of non - homogeneous linear equations using Cramer's rule :
x + 2y + 3z = 6 2x + 4y + z = 7 3x + 2y + 9z = 14

MANAGEMENT PROGRAMME

CD Term-End Examination

june 2013

MS-8 : QUANTITATIVE ANALYSIS FOR

MANAGERIAL APPLICATIONS

Maximum Marks : 100

## Ques 3. Give definitions of Less than and More than ogives. After this, draw their graphs for the frequency distribution showing the marks of 56 students shown in the table below:

 Marks Number of Students Marks Numbers of Students 0-10 4 30-40 15 10-20 8 40-50 12 20-30 11 50-60 6

## Ques 4. The results of a survey of 320 families with 5 children together with observed and expected frequencies are shown in the table below:

 Number of Boys and girls 5 Boys and 0 girl 4 Boys and 1 girl 3 Boys and 2 girls 2 Boys and 3 girls 1 Boy and 4 girls 0 Boy and 5 girls Total Observed frequencies 18 56 110 88 40 8 320 Expected frequencies 10 50 100 100 50 10 320

## Ques 7. Find the equation of the regression line of x on y for the data given in the table below:

 x 1 2 3 4 5 y 5 7 9 10 11

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