**Sargodha University MA Economics Paper-IV Statistics for Economists Past Papers 2016**

Here you can download Past Papers of Paper-IV Statistics for Economists, MA Economics Part One, 1st & 2nd Annual Examination, 2016 University of Sargodha.

**Statistics for Economists UOS Past Papers 2016**

**M.A. Economics Part – I**

**Paper-IV(Statistics for Economics) 1 ^{st} Annual Exam.2016**

**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.**

- Geometric Mean
- Median
- Mean Deviation
- Moment about Mean
- Skewness
- Kurtosis
- Probability
- Dependent Event
- Sampling Error
- Test of Hypothesis

**Subjective Part**

Q.2:(a) Find harmonic mean from the following data.

Weight | 65-84 | 85-104 | 105-124 | 125-144 | 145-164 | 165-184 | 185-204 |

f: |
9 | 10 | 17 | 10 | 5 | 4 |

From the following data show that team B is more consistent.

No. of Goals | No. of Matches | |

X1 | Team A | Team B |

0 | 27 | 17 |

1 | 9 | 9 |

2 | 8 | 6 |

3 | 5 | 5 |

4 | 4 | 3 |

**Q3:** (a) Compute the Marshall Edge worth price index number for 1964, from the following data.

Commodity |
Prices | Quantities | ||

1960 | 1964 | 1960 | 1964 | |

A |
3.95 | 4.25 | 9675 | 10436 |

B |
34.80 | 38.94 | 78 | 83 |

C |
61.56 | 59.70 | 118 | 116 |

b. A man tosses two fair dice. What is the conditional probability that the sum of the two dice will be 7 (i) given that sum is odd. (ii) given that two dice has the same outcome.

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

X |
78 | 89 | 97 | 69 | 59 | 79 | 68 | 61 |

Y |
125 | 135 | 156 | 112 | 107 | 136 | 123 | 108 |

Find coefficient of correlation for the given data:

State |
X: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

Math: |
Y | 2 | 4 | 3 | 1 | 7 | 5 | 8 | 10 | 6 | 9 |

**Q.5:** (a) A man draws two balls from a bag containing 3 white and 5 black balls. If the receive Rs.70 for every white ball he draws and Rs7 for every black ball, find his expectation.

b. R.V.X has the following probability distribution

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

P: |
0.2 |
0.3 | 0.2 | 0.2 | 0.1 |

Find probability functions of : (i) 3X -1 (ii) X^{2} (iii) X^{2} + 2

Find E(X), E(3X -1), E (x^{2}) and E(x^{2} +2)

**Q.6:** (a) A construction company has 310 employees who have on average annual salaries Rs. 24,000. The standard deviation of annual salaries is Rs. 500. In a random sample of 100 employees, what is the probability that the average salary will exceed Rs. 24500?

- A sample of 100 observations from a populations yielded X =182 and S
^{2}= 299. Find 99% confidence interval for µ.

**Q.7:** (a) An experiment was conducted to compare the yields of three varieties of potatoes. Each variety was assigned at random to equal size plots four times. The yields are as follows. Test the hypothesis that the three varieties of potatoes are not different in the yielding capabilities.

Variety | ||

A | B | C |

23 | 18 | 16 |

26 | 28 | 25 |

20 | 17 | 12 |

17 | 21 | 14 |

What is meant by experimental Design?

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