12.04.2004
1.00 - 4.00
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034
B.Sc., DEGREE EXAMINATION - STATISTICS
FIFTH SEMESTER – APRIL 2004
ST 5502/STA 507 - APPLIED STATISTICS
Max:100 marks
SECTION - A
(10  2 = 20 marks)
Answer ALL questions
1.
2.
3.
4.
5.
What is the purpose of constructing index numbers?
How do you select base period while constructing index numbers?
Distinguish between seasonal variations and cyclical fluctuations.
What do you understand by the term moving average? How is it used in measuring trend?
Given the following values:
r23 = 0.4, r13 = 0.61, r12 = 0.7
Find the partial correlation coefficient r12.3.
6. Define multiple correlation and give an example.
7. Distinguish between crude and specific death rates.
8. Describe the significance and importance of a life table.
9. What are De-Jure and De-Facto enumeration in population census?
10. Write a brief note on National Institute of Agricultural Marketing.
SECTION - B
Answer any FIVE questions
(5  8 = 40 marks)
11. Calculate price index using Fisher's ideal formula from the following data:
2002
2003
Commodity Price
Quantity
Price
Quantity
A
10
50
12
60
B
8
30
9
32
C
5
35
7
40
12. A textile worker in Chennai earns Rs.3500 per month. The cost of living index for a
particular month is given as 136. Using the following data, find out the amounts he spent
on house rent and clothing:
Group:
Food Clothing House rent Fuel and lighting Misc.
Expenditure: 1400
560
630
Group index:
180
150
100
110
80
X
13. Fit a curve of the type Y = ab to the following data and estimate for 2004.
Year:
1999
2000
2001
2002
2003
Population:
132
142
157
170
191
(in 1000 tons)
14. Describe one method each of i) eliminating the effect of trend from a time series and ii)
measuring the seasonal variations.
15. In a trivariate distribution, it was found:
r12 = 0.7
1 = 3
r23 = 0.4
2 = 4
r31 = 0.61
3 = 5
Find the regression equation of X1 on X2 and X3, when the variables are measured from
their means.
16. Compute gross reproduction rate and net reproduction rate from the data given below:
Age-group Female Population Female births Survival rate
15-19
13,000
300
0.9
20-24
9,000
630
0.89
25-29
8,000
480
0.88
30-34
7,000
280
0.87
35-39
6,000
150
0.85
40-44
5,000
35
0.83
17. Write an elaborate note on population census.
18. Explain in detail the developments in Fisheries and point out the welfare programmes
available for Traditional Fishermen.
SECTION - C
Answer any TWO questions
(2  20 = 40 marks)
19. a) By giving suitable examples, explain
i)
Splicing of index numbers
ii)
Deflating of prices and income
(4+4)
b) Show that Fisher's formula satisfies both time reversal and factor reversal tests using
the following data:
Base year
Current year
Commodity
Price
Quantity Price
Quantity
A
4
3
6
2
B
5
4
6
4
C
7
2
6
2
D
2
3
1
5
(6+6)
20. Compute seasonal indices by the ratio to moving average method from the following
data:
Year
Quarter
2000
2001
2002
2003
I
75
86
90
100
Current production
II
60
65
72
78
in 1000 tons
III
54
63
66
72
IV
59
80
85
93
21. a) Calculate the multiple correlation coefficient of X1 on X2 and X3 from the following
data:
X1:
5
3
2
4
3
1
8
X2:
2
4
2
2
3
2
4
X3: 21
21
15
17
20
13
22
(12)
b) For the problem in (a), test the significance of the population multiple correlation at 5%
level of significance.
(8)
22. a) Define vital statistics. What is the importance of these statistics?
(5)
b) Distinguish between Age specific fertility rate and General fertility rate.
(5)
c) Given the age returns for the two ages x = 9 years and x+1 = 10 years with a few life tale values as  9 = 75,824,  10 = 75,362, d10 = 418 and T10 = 49,53,195. Give the
complete life-table for two ages of persons.
(10)
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