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

- Maximum frequency of a series is associated with

- Arithmetic mean.
- Harmonic mean.
- Mode.
- Median.

(Choose the correct answer)

- Correlation coefficient between – X and – Y is negative.

(Write True or False)

- Fisher’s ideal index number does not satisfy

- Time reversal test.
- Factor reversal test.
- Unit test.
- None of the above.

(Choose the correct answer)

- Skewness is positive when mean is

- 1
- 0
- > mode
- < mode

(Choose the correct answer)

- Poisson distribution is a limiting form of ____ distribution. (Fill up the blank)
- The value of r is equal to

- None of the above

(Choose the correct answer)

- Mention one limitation of geometric mean.

- The probability of drawing a black card from a well-shuffled pack of 52 cards is

(Choose the correct answer)

2. Write short notes on any four of the following (within 150 words each): 4x4=16

- Distinction between sampling and census.
- Properties of standard deviation.
- Fixed-based and chain-base index number.
- Probable error or r.
- 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

- Testing of hypothesis.
- Type-I and Type-I errors.
- 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 tea Not consuming tea | 1236 564 | 164 36 | 1400 600 |

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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