**Sargodha University MA Economics Paper-IV Statistics for Economists Past Papers 2015**

Here you can download Past Papers of Paper-IV Statistics for Economists, MA Economics Part One, 1st & 2nd Annual Examination, 2015 University of Sargodha.

**Statistics for Economists UOS Past Papers 2015**

**M.A. Economics Part – I**

**Paper-IV(Statistics for Economics) 1 ^{st} Annual Exam.2015**

**Time: 3 Hours Marks:100**

**Note: Objective part is compulsory. Attempt any four questions from subjective Part.**

**Objective Part**

**Q.1: Write short answers of the following in two lines each.**

- Statistics
- Ordinal Scale
- Weighted Index
- Standard Error
- Seasonal Variation
- Non Probability
- Confidence Coefficient
- Multiple Correlation
- Type II Error
- Experimental Design

**Subjective Part**

Q.2:(a)

Age(years) | 18-19 | 20-24 | 25-29 | 30-34 | 35-44 | 45-49 |

Operators | 9 | 188 | 160 | 123 | 84 | 15 |

Represent the above data by a suitable diagram.

b. Determine the relative variation between the prices in rupees and life in hours of certain similar commodities from the following data.

Price in Rupees | 8 | 13 | 18 | 23 | 30 |

Life in Hours | 130 | 150 | 180 | 250 | 345 |

**Q3:** (a)

Year |
1930 | 1931 | 1932 | 1933 | 1934 | 1935 | 1936 |

Declared value |
1044 | 861 | 702 | 675 | 731 | 756 | 484 |

Value on the basis of 1930 price |
1044 | 1069 | 939 | 946 | 991 | 1012 | 1077 |

Construct average price index and volume index number taking 1930 as base year from the above information.

b. Two cards are drawn at random from a full pack of 52 cards. Find the probability that they are both aces, if the first cards is (i) replaced (ii) not replaced)

Q.4: (a) Find coefficient of determination of the following

X |
1 | 2 | 3 | 4 | 5 |

Y |
2 | 5 | 3 | 8 | 7 |

b. Given that r_{12} = 0.492, r_{13} = 0.927, r_{23} = 0.758 find all partial and multiple correlation coefficient.

**Q.5:** (a) Find the probability distribution of the sum of dots when two fair dice are thrown.

b. Find mean and variance of the following distribution.

X |
0 | 1 | 2 | 3 |

P(X) |
1/8 | 3/8 | 3/8 | 1/8 |

**Q.6:** (a) The weights of 1000 students of a college are normally distributed with mean 68.5Kg and standard deviation 2.7Kg. If 200 random samples of 25 students each, are obtained from this population, find the expected mean and standard deviation of the sampling distribution of means if sampling distribution are done (i) with replacement (ii) without replacement.

b. In how many samples would you expect to find mean between 67.9Kg and 69.2Kg.

**Q.7:** (a) The records of a certain hospital showed the birth of 723 males and 617 females in a certain week. Do these figures conform the hypothesis, that sexes are born in equal proportions. Use α = 0.02.

(b) Do the following data present sufficient evidence to indicate a difference in the mean achievement for the four teaching techniques? Use α = 0.025.

Techniques |
1 |
65 | 87 | 73 | 79 | 81 | 69 | – |

2 |
75 | 69 | 83 | 81 | 72 | 79 | 90 | |

3 |
59 | 78 | 67 | 62 | 83 | 76 | – | |

4 |
94 | 89 | 89 | 88 | – | – | – |

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