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Posted By: sasi kala Member Level: Gold Posted Date: 15 Jun 2008
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2006 Andhra University M.B.A Business Administration QUANTITATIVE TECHNIQUES FOR MANAGEMENT Question paper
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Andhra University - Master of Business Administration (MBA)
QUANTITATIVE TECHNIQUES FOR MANAGEMENT
Full Time - 1st Semester
Time: 3 hours
Max Marks: 100
Section - A (4x5 = 20 marks)
1. Answer any FOUR of the following
a. Explain the role of standard deviation in data analysis.
b. What are the applications of correlation?
c. Differentiate between Correlation and Regression.
d. What are the properties of Normal Probability Distribution?
e. What is Standard Error?
f. Explain errors in testing a hypothesis
g. How interval estimate is different from point estimate?
h. What are the applications of Chi-Square test?
Section - B (5x16=80 marks)
Answer the following questions, choosing either one of the bits in each question.
2.a. A firm has branch stores in cities A, B and C. A and B are 320 KM apart and C is 200 KM from each of them. A godown is to built equidistance from A and B. In order to minimize the time of transportation it should be located so that sum of distances from the godown to each of the cities is minimum. Where should the godown be built?
(or)
b. Solve the system of equations using the inverse of a matrix
2x + 3y - z = 1
x - 2y + 3z = 4
3x + y - 2z = 1
3.
a. The following data shows the distribution of weekly wages of industrial workers in two industries A and B. Weekly Wage interval No. of Workers in
A No. of Workers in
B
300 - 400 10 15
400 - 500 20 25
500 - 600 30 20
600 - 700 25 30
700 - 800 15 10
i. Find the mean weakly wages and standard directions for A and B.
ii. Determine the coefficient of variation and comment on them.
(or)
b. Determine the linear regression of sales on advertising expenditure and interpret the sensitivity of sales.
Ad. Exp
(Rs. In Lakhs)
300 - 400 10 12 15 8 20 18
Sales
(Rs. In Crores) 15 18 20 10 25 23
3.
a. Explain
1. Marginal and Conditional Probabilities
2. Addition and Multiplication Rules
3. Exclusive and Independent events.
(or)
b. The probability that a machine is correctly set up is 0.8. The chance that a defective item is produced when it is correctly setup is 0.7, where the corresponding probability when the machine is incorrectly set up is 0.6. When a sample of three items are selected from the production and are found to the defectives, what is the probability that the machine is incorrectly set up?
5.a. Explain the process of estimation and testing a hypothesis?
(or)
b. MRF Advertises that its car tyre provides an average life of 40,000 KM. A sample of 10 users of its product are interviewed and their opinion about the life of the tyre are given below:
38,000 44,000 35,000 42,000 36,000
41,000 32,000 30,000 39,000 42,000
At 5% level of significance, can you accept the statement of the company?
6.a. A Tea Manufacturer firm distributes two brands of tea. It is found that 56 of 200 consumers prefer one brand and 29 of 150 prefer the other brand. Can we conclude at 55 level of significance that the first brand outsells the second brand?
(or)
b. The number of defects per unit in a sample of 330 units of a manufacturing product was found as follows:
Number of defects 0 1 2 3 4
Number of Units 214 92 20 3 1
Fit a Poisson Distribution and test the goodness of it.
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