2014
(November)
ECONOMICS
(Major)
Course: 302
(Statistical Methods in Economics)
Full Marks: 80
Pass Marks: 32
Time: 3 hours
The figures in the margin indicate full marks for the questions
 ‘The reciprocal of the arithmetic mean of the reciprocals of the given observations’ is termed as
 Geometric mean.
 Harmonic mean.
 Mode.
 Median.
 The relative flatness of the top of a frequency curve is called ‘kurtosis’. (Write True or False)
 The value of is equal to
 None of the above (Choose the correct answer)
 The mean of the binomial distribution is
 N
 Np
 Npq
 0
 Circular test is satisfied by
 Laspeyer’s’ method.
 Paasches method.
 Fisher’s ideal method.
 None of the above (Choose the correct answer)
 The probability of drawing a king in a draw from a pack of 52 cards is ____. (Fill in the blank)
 Mention one limitation of census method.
 Binomial distribution is associated with the name of
 De moivre.
 Karl Pearson.
 J. Bernoulli.
 I. Fisher. (Choose the correct answer)
2. Write short notes on any four of the following (within 150 words each): 4x4=16
 Characteristics of a good average.
 Binomial distribution.
 Type – I and Type – II errors.
 Skewness and kurtosis.
 Use of index numbers for deflating other series.
 Spearman’s rank correlation coefficient.
3. (a) What do you mean by central tendency? Explain different methods of computing central tendency. 2+9=11
Or
(b) From the following distribution, find the standard deviation and coefficient of variation. 6+5=11
Marks:

010

1020

2030

3040

4050

5060

6070

7080

No. of Students:

5

10

20

40

30

20

10

4

4. (a) Distinguish between sampling and census. Describe briefly different types of sampling. 4+7=11
Or
(b) In a survey, the following results were found in a town:
Male

Female

Total
 
Taking tea
Not taking tea

56
18

31
6

87
24

Total

74

37

111

Discuss whether there is any significant difference between male and female in the matter of taking tea. [The value of for 1 degree of freedom at 5% level of significance is 3.84] 11
5. (a) A bag contains 4 red balls and 6 black balls. If two balls are drawn at a time, what is the probability that (i) both are red, (ii) both are black, and (iii) one is black and the other is red? 4+4+3=11
Or
(b) State and prove the addition theorem of probability for any events A and B. Rewrite the law when A and B are mutually exclusive. 8+3=11
6. (a) Mention the properties of Karl Pearson’s coefficient of correlation. Given that, the probable error of r = 0.125 and n = 16, find the correlation coefficient and examine its significance. 3+7+2=12
Or
(b) Based on the information given below, find (i) the two regression equations, and (ii) the most likely value of X, when the value of Y is 75: 5+5=2=12
7. (a) From the following data relating to the prices and quantities of 4 commodities, construct (i) Laspeyres’ index, (ii) Paasche’s index, and (iii) Fisher’s ideal index numbers of price for the year 2012 taking 2011 as the base year: 3+3+5=11
Commodities

2011

2012
 
Price

Quantity

Price

Quantity
 
A
B
C
D

5.00
4.00
2.50
12.00

100
80
60
30

6.00
5.00
5.00
9.00

150
100
72
33

Or
(b) Write notes on the following: 5+3+3=11
 Timereversal and factorreversal tests.
 Chairbase index number.
 Splicing of index number.
***
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