Tamil Nadu Open University (TNOU) 2009-1st Year M.Com Commerce Tamilnadu open university Applied business statistics - Question Paper

M.Com. DEGREE exam —
JUNE 2009.
(AY 2003 and CY 2004 batches only)
First Year
APPLIED BUSINESS STATISTICS
Time : three hours Maximum marks : 75
PART A — (3 ´ five = 15 marks)
ans any 3 ques..
All ques. carry equal marks.

1. What is meant by stratified random sampling? and
discuss when it is to be used?

2. Write a short note on standard fault of estimate.

3. explain different theorems of Probability.

4. The incidence of occupational disease in an industry
is such that the workmen have 20% chances of suffering
from it. What is the probability that out of 6 workmen
4 or more will contact the disease?

5. The simple co-efficient correlations ranging from two
variables out of 3 are as follows
r12 = 0.8, r13 = 0.7 r23 = 0.6 .

PART B — (4 ´ 15 = 60 marks)
ans any 4 ques..
All ques. carry equal marks.
6. A can solve the 90 percent of the issues provided in a
book and B can solve 70 per cent of the issues provided
in the book and C can solve 60 per cent of issues
provided in the book. What is the probability that atleast
one of them will solve the issue opted at random.

7. The number of defects per unit in a sample of
330 units of manufactured product was obtained as
follows :
No of
defects
0 one two three 4
No. of
Units
214 92 20 three 1
Fit a Poisson distribution to the data and test for
goodness of fit.

8. compute the Spearman Rank Correlation
co-efficient for the subsequent data.
X : 22 28 31 23 29 31 27 22 31 18
Y : 18 25 25 37 31 35 31 29 18 20

9. You are supplied the with the subsequent data only
Variance of x = 9
Regression formula :
20 nine 107 0
40 five 33 0
- - =
- + =
X Y
X Y
obtain the mean values of X and Y
The standard deviation of Y and The Co-efficient of
correlation ranging from X and Y.

10. The figures relates to the number of refrigerators
sold by four salesmen in 3 months is provided beneath
May 16 eight 12 14
June 14 10 10 6
July four 10 eight 8
Do the data indicate that the sales in the 3 months
are significantly various (Given F value for two and 10
d.f. at 5% lelvel of confidence 3.98)

interest paying policies on cheque accounts. The bank
has obtained that the avg. daily balance on personal
cheque accounts in Rs. 550.00, with a standard
deviation of Rs. 150.00. In addition, the avg. daily
(2 values are 0.33=0.1293, 1.66=0.4515 2.33=0.4898).
(a) What percentage of personal cheque account
customers carry avg. daily balances in excess of
Rs. 800.00?
(b) What percentage of customers carries a balance
Rs. 200.00 or lower?
(c) What percentage of customers carries a balance of
more than Rs. 600.00 and less than Rs. 800?

12. discuss the multivariate analysis and uses in
managerial decision making.

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Earning:   Approval pending.