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 ANAGEMENT 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 

December, 2013 

MS-8 : QUANTITATIVE ANALYSIS FOR 

MANAGERIAL APPLICATIONS 

Maximum Marks : 100 

SECTION - A 

1.  Suppose the price p-and quantity q of a commodity are relateii.:by the equation, 

q= — p2  — 4p +30 

Find 

(a)  Elasticity of demand at p = 2 

(b)  Marginal Revenue (MR) 

2.  Consider the following data : 

Daily sales                 20 - 30    30 - 40    40 - 50  50 - 60  60 - 70  70 - 80  80 - 90 

No. of firms                    15           23         27            20          35         25         5 

Find the modal daily sales. 

3. It is not known whether a coin is fair or unfair. If the coin is fair the probability of 

a tail is 0.5 but if the coin is unfair the probability of a tail is 0.10. A prior p

robability given of a fair coin is 0.80 and that of unfair coin is 0.20. The coin is 

tossed once and tail is the result. What is the probability that the coin is fair ? 

4.   Explain the concept of the power curve of a test and p-value of a test. 

5.  Regarding a certain normal distribution concerning the income of the 

individuals we are given that mean = Rs.500 and standard deviation = Rs.100. 

Find the probability than an individual selected at random will belong to 

income-group Rs. 550 to Rs. 650. 

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

(a)  Step Function 

(b)  Harmonic Mean 

(c)  Decision Tree Approach 

(d)  Double Sampling 

MANAGEMENT PROGRAMME 

CD Term-End Examination 

june 2013 

MS-8 : QUANTITATIVE ANALYSIS FOR 

MANAGERIAL APPLICATIONS 

Maximum Marks : 100 

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.

SECTION – A 

Ques 1. If an amount of `10,000/- is invested at a simple interest of 15% per annum, how much it will become at the end of 5 years? And if this amount is invested at a compound interest of 12% per annum (the interest being compounded on yearly basis), how much it will become at the end of 5 years? Also answer that the invested amount will be more at the end of 5 years in which case.

Ques 2. In a bolt factory, machines A, B, C manufacture 25%, 35%, 40% bolts respectively. Out of these bolts, 5%, 4%, 12% defective ones came from machines A, B, C respectively. Find the probability that a bolt found to be defective came from machine B.

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:

Table – Frequency distribution showing number of students in intervals of marks.

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:

Using chi-square test of goodness of fit, answer whether the hypothesis that births of boys and girls are equally likely at a significance level of .

Ques 5. Name the types of Probability Sampling Methods. Then explain the terms Simple Random and Stratified Sampling. While doing so, draw figures wherever required. Thereafter compare the two types of sampling methods.

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

(a) Total and Average revenues
(b) Standard deviation
(c) Normal distribution
(d) Null and Alternative hypothesis
(e) Opinion polls method of forecasting

SECTION – B

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

And from the equation of the regression line, find the value of x corresponding to y = 6.

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