[BA 3rd Sem Question Papers, Dibrugarh University, 2015, Economics, Major, Statistical Methods in Economics]
1. Answer the following as directed: 1x8=8
- The probability of drawing a red coloured card in a draw from a pack of 52 cards is ____.
(Fill in the blank)
- The algebraic sum of deviation from mean is
- 1.
- 0.
- Mean multiplied by the number of observation.
- None of the above.
(Choose the correct answer)
- The standard deviation of a binomial distribution is ____.
(Fill in the blank)
- A method of sampling in which the population is divided into different homogeneous groups in terms of some characteristics is called
- Judgement sampling.
- Random sampling.
- Stratified sampling.
- Systematic sampling.
(Choose the correct answer)
- Both the regression coefficients should have the same sign.
(write True or False)
- The error of rejecting a correct null hypothesis is known as
- Type I error.
- Type II error.
- Both type I and type II errors.
- All of the above.
(Choose the correct answer)
- If every item in a data set is multiplied by 3, then the standard deviation of the resulting data set is equal to the
- Original standard deviation.
- Standard deviation of the original data set multiplied by 3.
- Standard deviation of the original data set divided by 3.
- None of the above.
(Choose the correct answer)
- The circular test is satisfied when
- None of the above
(Choose the correct answer)
2. Write short notes on any four of the following (within 150 words each): 4x4=16
- Arithmetic mean.
- Poisson distribution.
- Random sampling.
- Spearman’s rank correlation.
- Fixed base and chain base index numbers.
3. (a) What do you mean by absolute dispersion and relative dispersion? Explain various methods of computing dispersion. 3+8=11
Or
(b) Calculate standard deviation and coefficient of variation from the following distribution: 6+5=11
Age:
|
20-30
|
30-40
|
40-50
|
50-60
|
60-70
|
70-80
|
80-90
|
No. of Persons
|
2
|
55
|
123
|
150
|
140
|
51
|
4
|
4. (a) (i) If, from a pack of cards, a single card is drawn, what is the probability that it is either spade or a king?
(ii) What is the probability of getting a sum total of either 5 or 12 in a single throw of two dices? 5+6=11
Or
(b) Define the following with example: 2+2+2+3+2=11
- Exhaustive cases.
- Mutually exclusive events.
- Sample space.
- Random variable and mathematical expectation.
- Conditional probability.
5. (a) Calculate the coefficient of correlation from the following data and interpret: 9+3=12
X:
|
28
|
41
|
40
|
38
|
35
|
33
|
40
|
32
|
36
|
33
|
Y:
|
23
|
34
|
33
|
34
|
33
|
26
|
28
|
31
|
36
|
38
|
Or
(b) (i) Why are there two lines of regression for each bivariate distribution? When do the two regression lines coincide?
(ii) A panel of judges A and B graded seven debators and independently awarded the following marks:
Debators
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
Marks by A
|
40
|
34
|
28
|
30
|
44
|
38
|
31
|
Marks by B
|
32
|
39
|
26
|
30
|
38
|
34
|
28
|
The eighth debator was awarded 36 marks by judge A while judge B was not present. If judge B was also present, how many marks would you expect him to award to the eighth debator? (2+2)+8=12
6. (a) What is sampling? Discuss the advantages of sample survey over census method. Mention the condition when census method may be used with advantage. 2+6+3=11
Or
(b) From the following data, find the effectiveness of inoculation in preventing attack of the disease (The value of 
for 1 degree of freedom at 5% level of significance is 3.84):
for 1 degree of freedom at 5% level of significance is 3.84):
Attacked
|
Not attacked
| |
Inoculated
|
120
|
240
|
Not Inoculated
|
280
|
360
|
Also Read: Dibrugarh University Question Papers
7. (a) (i) Why is Fisher’s method considered as the ideal index method?
(ii) Describe the use of index numbers for deflating time series data. 5+6=11
Or
(b) From the following data, construct (i) Laspeyres’ index, (ii) Paasche’s index and (iii) Fisher’s ideal index of price: 3+3+5=11
Commodities
|
2012
|
2013
| ||
Price
|
Quantity
|
Price
|
Quantity
| |
A
|
20
|
8
|
40
|
6
|
B
|
50
|
10
|
60
|
5
|
C
|
40
|
15
|
50
|
15
|
D
|
20
|
20
|
20
|
25
|
***
Post a Comment
Kindly give your valuable feedback to improve this website.