[BA 3rd Sem Question Papers, Dibrugarh University, 2014, Economics, Major, Statistical Methods in Economics]
1. Answer the following as directed: 1x8=8
- ‘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:
|
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
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
Also Read: Dibrugarh University Question Papers
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
- Time-reversal and factor-reversal tests.
- Chair-base index number.
- Splicing of index number.
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