Madras University (UnOM) 2006 M.Com Commerce V – Applied Business Statistics - Question Paper

Time: 3 hours
Maximum: 100 marks

part A - [5 x eight = Marks 40]

ans any 5 ques..
All ques. carry equal marks.

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

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

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

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

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

6. Ten students got the subsequent percentage of marks in Mathematics and Statistics: learner
(Roll No) one two three four five six seven eight nine 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. obtain the probability that in a family of 5 children there will be (a) at lowest 1 boy (b) at lowest 1 boy and 1 girl. (Assume that the probability of a female birth is ½)

8. four coins were tossed 160 times and the subsequent outcomes were obtained: No. of heads 0 one two three four
Observed Frequency 17 52 54 31 six


SECTION-B [3x20=Marks 60]

ans any 3 ques..
All ques. carry equal marks.

9. describe 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. discuss the procedure generally followed in testing of a hypothesis. Point out the difference ranging from 1 tail and 2 tail test.

11. What do you mean by bi-variete analysis. elaborate its types? discuss.

12. From the subsequent outcomes find the 2 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 subsequent data:

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

Earning:   Approval pending.