## Thursday, January 03, 2019 2013
(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. Maximum frequency of a series is associated with
1. Arithmetic mean.
2. Harmonic mean.
3. Mode.
4. Median.
1. Correlation coefficient between – X and – Y is negative.
(Write True or False)
1. Fisher’s ideal index number does not satisfy
1. Time reversal test.
2. Factor reversal test.
3. Unit test.
4. None of the above.
1. Skewness is positive when mean is
1. 1
2. 0
3. > mode
4. < mode
1. Poisson distribution is a limiting form of ____ distribution. (Fill up the blank)
2. The value of r is equal to
1. 2. 3. 4. None of the above
1. Mention one limitation of geometric mean.

1. The probability of drawing a black card from a well-shuffled pack of 52 cards is
1. 2. 3. 4. 2. Write short notes on any four of the following (within 150 words each): 4x4=16
1. Distinction between sampling and census.
2. Properties of standard deviation.
3. Fixed-based and chain-base index number.
4. Probable error or r.
5. Normal distribution.
3. (a) What do you understand by skewness and kurtosis? Point out their roles in analyzing frequency distribution. 4+7=11
Or
(b) For a certain frequency table, the median was found to be 30 and N = 100. Calculate the missing frequencies: 11
 Marks 0-10 10-20 20-30 30-40 40-50 50-60 No. of students 10 ? 25 30 ? 10

4. (a) Explain the following terms: 4+4+3=11
1. Testing of hypothesis.
2. Type-I and Type-I errors.
3. Level of significance.
Or
(b) In a certain sample of 2000 families, the following results were observed:
 No. of families Hindu Non-Hindu Total Consuming teaNot consuming tea 1236564 16436 1400600 Total 1800 200 2000

State whether there is any significant difference between consumption of tea among Hindu and non-Hindu families. [The value of for 1 degree of freedom at 5% level of significance is 3.84] 11
5. (a) A coin is tossed 8 times. What is the probability of getting (i) no head, (ii) 2 heads and (iii) at most 3 heads? 3+3+5=11
Or
(b) If two cards are drawn one-by-one, what is the probability that the first card is either King or Queen, and second card is either Spade or Club (i) with replacement and (ii) without replacement? 6+5=11
6. (a) Calculate correlation coefficient from the following and examine its significance: 8+4=12 Or
(b) Write a note on regression coefficients. From the data given below, find (i) regression equation Y and X and (ii) the most likely value of Y when the value of X is 15: 4+6+2=12

 X: 16 12 18 4 3 10 5 12 Y: 87 88 89 68 78 80 75 82

7. (a) Construct Fisher’s ideal index from the data given below, and show that it satisfies both time reversal test and factor reversal test. 5+3+3=11
 Commodities 2011 2012 Quantity Price Quantity Price A 12 10 15 12 B 15 7 20 5 C 24 5 20 9 D 5 16 5 14

Or
(b) (i) Describe the use of index numbers for deflating time series data.
(ii) Explain the problems of construction of index numbers. 6+5=11

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