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University of Madras (UoM)

University of Madras (UoM)

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Paper V – Applied Business Statistics
Paper V – Applied Business Statistics
OCTOBER 2003
P/IC/754/PBE

Time: Three hours
Maximum: 100 marks

SECTION A - (5 x 8 = 40 marks)

Answer any FIVE questions.
All questions carry equal marks.

1. List the properties of the Normal distribution. Why is it so important?

2. Define the concept of Conditional Probability and independent events.

3. What is meant by statistical decision theory? How is it different from other methods used in decision making?

4. What is a sample survey? Describe the general design of a multi-stage survey.

5. What do you understand by ‘Regression’? What are the properties of Regression Coefficients?

6. Ten students got the following percentage of marks in Mathematics and Statistics:
Student
(Roll No) 		1 2 3 4 5 6 7 8 9 20
Marks in
Mathematics 		78 36 98 25 75 82 90 62 65 39
Marks in
Statistics 		84 51 91 60 68 62 86 58 53 47


7. Find the probability that in a family of five children there will be (a) at least one boy (b) at least one boy and one girl. (Assume that the probability of a female birth is ˝)

8. 4 coins were tossed 160 times and the following results were obtained:
No. of heads 0 1 2 3 4
Observed Frequency 17 52 54 31 6


SECTION-B (3x20=60 marks)

Answer any THREE questions.
All questions carry equal marks.

9. Define Karl Pearson’s coefficient of correlation. What is it intended to measure? How would you interpret the sign and magnitude of a correlation coefficient?

10. Explain the procedure generally followed in testing of a hypothesis. Point out the difference between one tail and two tail test.

11. What do you mean by bi-variete analysis. What are its types? Explain.

12. From the following results obtain the two regression equations and estimate the yield of crops when the rainfall is 29 cms and the rainfall when the yield is 600 kg.
  Y (Yield in kgs) X (Rainfall in cms)
Mean 508.4 26.7
S.D. 36.8 4.6

13. Set up a two-way ANOVA Table for the following data:

Pieces of field Treatment
  A B C D
P 45 40 38 37
Q 43 41 45 38
R 39 39 41 41

 

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