## Wednesday, January 02, 2019

2012
(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. Choose the correct answer/Answer the following: 1x8=8
1. The nth root of the product of n terms of a series’ is termed as
1. Geometric mean.
2. Harmonic mean.
3. Mode.
4. Standard deviation.
1. The sample of A and B have same standard deviation. But, the arithmetic meanof The coefficient of variation of A will be
1. Less than B.
2. Greater than B.
3. Equal to B.
4. None of the above.
1. The change of drawing a king in a draw from a pack of 52 cards is
1. In case of a normal distribution, the coefficient of skewness is
1. 1
2. >1
3. 0
4. <1
1. Mention one merit of arithmetic mean.
2. The Spearman’s coefficient of rank correlation p ranges from
1. 0 to +1
2. – 1 to +1
3. – 1 to 0
4. None of the above
1. The value of is equal to
1. Mention one limitation of mean deviation.
2. Write short notes on any four of the following (within 150 words each): 4x4=16
1. Skewness and Kurtosis.
2. Binomial distribution.
3. Distinction between correlation and regression.
4. Type – II error.
5. Splicing of index numbers.
3. (a) What do you mean by dispersion? Explain various methods of computing dispersion. 2+9=11
Or
(b) From the following data, find the missing frequencies when the mean is 56.47 (N = 150):
 Daily wages (Mid-value) (in Rs.): 45 50 55 60 65 70 75 Frequency: 5 48 ? 30 ? 8 6

4. (a) What is Sampling? Describe different types of sampling. 2+9=11
Or
(b) In a survey, the following results were found in a town:
 Male Female Total Taking teaNot taking tea 5618 316 8724 Total 74 37 111

Discuss whether there is any significant difference between male and female in the matter of taking tea. [The value offor 1 degree of freedom at 5% level of significance is 3.84]
5. (a) State and prove the multiplication theorem of probability. How is the result modified if the events are not independent? 8+3=11
Or
(b) If two dice are thrown, what is the probability of getting –
1. Either total 8 or total 10;
2. At least one six;
3. Total being multiple of 3 or 4;
4. Total of 9? 3+3+3+2=11

6. (a) Mention the properties of Karl Pearson’s coefficient of correlation. Find Karl Pearson’s coefficient of correlation between the following values X and Y: 3+9=12
 X: 78 89 96 69 59 79 Y: 125 137 156 112 107 136

Or
(b) From the data given below, find (i) the two regression equations, (ii) the most likely marks in Statistics, when the marks in Economics is 30 5+5+2=12
 Marks in Economics 25 28 35 32 31 36 29 Marks in Statistics 43 46 49 41 36 32 31

7. (a) (i) Mention the problems of construction of index numbers.
(ii) From the following data, construct Fisher’s ideal index:
Ideal Index:
 Commodities 2010 2011 Price Quantity Price Quantity ABCD 5.004.002.5012.00 100806030 6.005.005.009.00 1501007233

Or
(b) (i) Distinguish between fixed-base and chain-base index numbers.
(ii) Find chain-base index numbers from the following fixed-base index numbers:
 Year 2007 2008 2009 2010 2011 Fixed-base index number 80 88 105.6 95.04 133.06

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