Wednesday, January 02, 2019

Dibrugarh University Arts Question Papers:ECONOMICS (Major) (Statistical Methods in Economics)' (November)-2012


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 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 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
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) (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
105.60
95.04
133.06





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