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Posted Date: 07 Jul 2008      Posted By:: sac    Member Level: Gold  Points: 5 (Rs. 1)

# 2007 Annamalai University Management M.B.A BUSINESS MATHEMATICS AND STATISTICS Question paper

 Course: M.B.A University/board: Annamalai University

Register Number: 4733

Name of the Candidate:

M.B.A. DEGREE EXAMINATION, 2007

(ENGLISH MEDIUM)

(FIRST YEAR)
PAPER -IV
140. BUSINESS MATHEMATICS AND STATISTICS

Dec.) (Time: 3 Hours
Maximum: 75 Marks

PART-A (5×3=15)

Answer any FIVE questions
All questions carry equal marks

1. a) What is Matrix?
b) What is adjoint matrix?
c) What do you mean by Probability Distribution?
d) What is variance?
e) What do you mean by “statistical hypothesis”
f) What do you mean by Linear Model?
g) What do you mean by dependent and independent?

h) What is Baye’s principles?
i) What is chi-square test?

PART-B (3×10=30)

Answer any THREE of the following
All questions carry equal marks

2. The annual sales of Mobile of Brand X (in crores of rupees) are summarized below.

Year (x) 1 2 3 4 5 6 7
Annual Sales (Y) 12 16 15 18 23 26 30

Fit a regression model to estimate the annual sales.

3. If a coin is tossed for 30 times:
a) What is the probability of having No. heads?

b) What is the probability of having 10 heads?

c) What is the probability of having at most 3 heads?

4. If A = (12,1,4,5) B=(5,3,6,7,8,1,10), C=(4,8,1,2,3,9) find the following.

a) A (B C) (b) A (B C)

5. What is ANOVA? Explain its types?

6. What is chi-square test? Explain its uses and limitation.

PART-C (2×15=30)

Answer any TWO questions,
ALL questions carry equal marks.

7. Briefly discuss the “TIME SERIES STATISTICAL QUALITY CONTROL” with suitable examples.

8. The R& D manager of a manufacturing firm is in a state of dilemma whether the sales revenue (crores of rupees) is affected by sales region. Because, there might be variability from one period to another period, he decides to use the Randomized complete Block Design. The corresponding data are presented below:

a) Write the corresponding model.

b) Check whether each component of the model has effect on the sales revenue at a significance level of 5%.

9. The annual sales revenue (in crores) of a product as a function of sales force (number of sales man) and annual advertising expenditure (In Lakhs of rupees) for the past 7 years are summarized below. Design the regression model to forecast the annual sales revenue of the product.

Annual Sales
revenue (x) Sales force (x1) Annual advertising expenditure (x2)
20
23
25
27
21
29
22 8
13
8
18
23
16
10 28
23
38
16
20
28
23

10. Briefly explain the steps of constructing P& C chart, using a Suitable Example.

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