LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
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M.A. DEGREE EXAMINATION – ECONOMICS
THIRD SEMESTER – November 2008
ST 3902 – STATISTICS FOR ECONOMISTS
Date : 14-11-08 Dept. No. Max. : 100 Marks
Time : 9:00 – 12:00
SECTION–A (10 X 2 = 20 Marks)
Answer all the Questions:
- Give any two industrial applications of
- When will you go in for Median? Give an example.
- Briefly explain the term Positive Skewness.
- If the two regression lines are x +2y = 5 and 2x+3y = 8. Calculate the means and the regression coefficients.
- What do you understand by the term Continuous random variable? Give an example.
- What are the properties of Poisson distribution?
- Briefly explain the term Business Cycle.
- Define the following terms with examples.
- Critical Region. b. Level of Significance.
- State the addition Theorem and give an example.
- Briefly explain the objective of an Assignment Problem.
SECTION-B (5 X 8 = 40 Marks)
Answer any FIVE Questions:
- The following data relate to the profits (in Million $) of 1000 companies:
Sales: : 100 – 120 120-140 140-160 160-180 180-200 200-220 220-240
No of Companies: 17 53 199 194 327 208 2
Calculate Bowley’s coefficient of skewness.
- Explain in detail the various steps in the construction of Cost of living Index
numbers.
- The following table gives age X in years of Ford cars and Annual Maintenance Cost
Y (in hundred $)
Age : 1 3 5 7 9
Main.Cost: 15 18 21 23 22
Plot the given data and the trend line.
- Explain the Characteristics of the Chi-Square distribution and state the various
applications of this distribution.
- Explain in detail the ratio-to-trend method to calculate the seasonal indices.
- From the following data Calculate the Rank coefficient of correlation.
X : 40 50 60 70 80 90 100 120 90 60
Y : 185 167 132 82 38 12 34 56 54 78
- A manufacturer of flat TV knows that 2% of his products are defective. If he sells the TV in boxes of 100 and guarantees not more than 4 defectives, What is the probability that a box will fail to meet the guaranteed quality? ( e –2 = 0.13534)
- State BAYE’S theorem and give a suitable example.
SECTION-C (2 X 20= 40 Marks)
Answer any TWO Questions:
- a. The following data relate to the life (in hours) of 2 companies:
Suriya: 87 45 69 38 60 58 40 60 78 98
Philips: 17 53 99 19 74 67 80 77 32 28
Which company you would like to purchase? and comment on the results. (10-Marks)
- Fit a straight line to the following data:
Year :1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005
Sales : 250 592 672 824 569 968 1205 1464 1758 2058 1566
(in Million $) Estimate the sales for 2009. (10-Marks)
20 a. In a certain sample of 2000 families from UK, 1400 families consume of tea. Out of 1800 Indian
families, 1236 families consume tea. Use Chi-Square test to test whether tea consumption is
independent of the families.
(Use Chi-Square table value = 3.841, at 5% level) (12–Marks)
- Distinguish between small sample tests and large sample tests with suitable illustrations. (8-Marks)
- a) Nokia started producing cell phones at different parts of the world and supplying for the whole
world. Construct a Transportation model. (5 Marks)
- Explain in detail all the steps involved in solving a transportation model to find the optimal solotion.
( 15-Marks)
- Write shot notes on the following:
- a) Kurtosis
- b) Components of Time series
- c) Time reversal test
d)Assignment problem ( 4X 5 = 20 Marks)
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