Friday, January 04, 2019

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

1. Answer the following as directed: 1x8=8
1. ‘The reciprocal of the arithmetic mean of the reciprocals of the given observations’ is termed as
1. Geometric mean.
2. Harmonic mean.
3. Mode.
4. Median.
1. The relative flatness of the top of a frequency curve is called ‘kurtosis’. (Write True or False)
2. The value of is equal to
1. None of the above (Choose the correct answer)
1. The mean of the binomial distribution is
1. N
2. Np
3. Npq
4. 0
1. Circular test is satisfied by
1. Laspeyer’s’ method.
2. Paasches method.
3. Fisher’s ideal method.
4. None of the above (Choose the correct answer)
1. The probability of drawing a king in a draw from a pack of 52 cards is ____. (Fill in the blank)
2. Mention one limitation of census method.
3. Binomial distribution is associated with the name of
1. De moivre.
2. Karl Pearson.
3. J. Bernoulli.
4. I. Fisher. (Choose the correct answer)

2. Write short notes on any four of the following (within 150 words each): 4x4=16
1. Characteristics of a good average.
2. Binomial distribution.
3. Type – I and Type – II errors.
4. Skewness and kurtosis.
5. Use of index numbers for deflating other series.
6. 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: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 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
1. Time-reversal and factor-reversal tests.
2. Chair-base index number.
3. Splicing of index number.

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