M.B.A. DEGREE EXAMINATION, NOVEMBER 2017
Airline and Airport Management
STATISTICAL METHODS
(Upto 2015 batch)
Time 3 Hours Maximum 75 Marks
Part A (10 X 2 20)
Answer all questions.
1. Find the total cost function if the fixed cost Rs. 7,000 and
variable cost Rs. 600.
3. Define Correlation and give any two types.
4. Define standard deviation.
5. What is the probability of impossible event?
6. Define normal distribution.
7. Explain price index and quantity index.
8. What are the components of time series analysis?
9. Define null and alternative hypothesis.
10. Define the standard error of a sampling distribution.
Sub. Code
14
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Part B X 5 25)
Answer all questions.
11. Draw the graph of the function y x2 2x 3 .
Or
12. Find the arithmetic mean of the following
x 1 2 3 4 5 6 7
f 5 9 12 17 14 10 6
Or
For a group of 200 candidates, the mean and
standard deviation of scores were found to be 40 and
15 respectively. Later on it was discovered that the
scores 43 and 35 were misread as 34 and 53
respectively. Find the corrected mean and standard
deviation corresponding to the corrected figures.
13. Find the expectation of the number on a die when
thrown.
Or
If the random variable X has a Poisson distribution
such that Pr Pr find Pr
14. From the following data construct an index for 2014
taking 2013 as base
Commodities A B C D E
Price in 2013 50 40 80 110 20
Price in 2014 70 60 90 120 20
Or
Describe the methods of measuring trend in time
series.
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15. The number of road accidents per week in a city
were as follows 20, 14, 12, 10, 15, 4. Are
these figures in agreement with the belief that
accident conditions were the same during periods of
10 weeks?
Or
Out of 8000 graduates in a town, 800 are females
and out of 1600 graduates employees, 120 are
females. Use 2 distribution to determine if any
discrimination is made in appointment on the basis
of sex.
Part C X 10 30)
Answer all questions.
16. Draw a suitable graph to represent the following
data along with Balance of Trade [BOT].
Period Jan. Feb. Mar. Apr. May Jun.
Exports 30 32 28 25 23 20
Imports 20 25 33 38 40 42
Or
Let the random variables X and Y have the joint
probability density function



elsewhere.
x 0 x 0 y 1
f x y
Find the correlation coefficient of X and Y .
17. Obtain the equations of two lines of regression for
the following
X 65 66 67 67 68 69 70 72
Y 67 68 65 68 72 72 69 71
Or
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The local authorities in a certain city install 10,000
electric lamps in the streets of the city. If these
lamps have an average life of 1000 burning hours
with a standard deviation of 200 hours, assuming
normality, what number of lamps might be expected
to fail
in the first 800 burning hours?
between 800 and 1200 burning hours?
After what period of burning hours would you
expect that
10% of the lamps would fail?
10% of the lamps would be still burning?
18. The following data refer to the production of cloth in
million yards during the year 2003-2012. Assuming
a four year cycle, compute the trend value by the
method of moving average.
Year 2003 2004 2005 2006 2007
Production in Yards 460 512 515 470 500
Year 2008 2009 2010 2011 2012
Production in Yards 510 525 540 520 550
Or
Random sample of 400 men and 600 women were
asked whether they would like to have a flyover
near their residence. 200 men and 325 women were
in favour of the proposal. Test the hypothesis that
proportions of men and women in favour of the
proposal, are the same against that they are not, at
level.
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