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

- The nth root of the product of n terms of a series’ is termed as

- Geometric mean.
- Harmonic mean.
- Mode.
- Standard deviation.

- The sample of A and B have same standard deviation. But, the arithmetic meanof The coefficient of variation of A will be

- Less than B.
- Greater than B.
- Equal to B.
- None of the above.

- The change of drawing a king in a draw from a pack of 52 cards is

- In case of a normal distribution, the coefficient of skewness is

- 1
- >1
- 0
- <1

- Mention one merit of arithmetic mean.
- The Spearman’s coefficient of rank correlation p ranges from

- 0 to +1
- – 1 to +1
- – 1 to 0
- None of the above

- The value of is equal to

- Mention one limitation of mean deviation.

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

- Skewness and Kurtosis.
- Binomial distribution.
- Distinction between correlation and regression.
- Type – II error.
- 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 –

- Either total 8 or total 10;
- At least one six;
- Total being multiple of 3 or 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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