Statistics for Economists, MA Economics Sargodha University Past Papers 2016

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
Commodity	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) X² (iii) X² + 2

Find E(X), E(3X -1), E (x²) and E(x² +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 S²= 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.