M.B.A. DEGREE EXAMINATION, NOVEMBER 2017
Airline and Airport Management
STATISTICAL METHODS
(2016 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 x 2 20)
Answer all questions.
1. When the price is $60 iphones of a particular brand
are available and when the price is 140 iphones of
the same type are available in the market. Find the
supply function.
2. Differentiate y 2 5x2 2 with respect to x.
3. Find coefficient of variance of a distribution if S.D. is 25.6
and mean is 42.8.
4. Define positive and negative correlation with examples.
5. The probability that aircraft A will be performing a usual
function is 5 years time is ¼ while the probability that
aircraft B will still be operating usefully at the end of the
same period is 1/3 what is the probability that neither
will be operating?
Sub. Code
15
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6. An airline company can make a profit of $5,000 per day
in a aircraft with a probability of 0.4 have a loss of $1000
per day in a aircraft. What is its expected profit?
7. Write down the two limitations of the simple aggregative
index.
8. What are the components of time series?
9. Briefly explain Type I and Type II errors.
10. Briefly explain level of significance.
Part B x 5 25)
Answer all questions.
Find the marginal cost at output of 100 unit.
What was the marginal cost of the 101st unit?
Or
The production manager of a company plans to
include 180 sq.cm of actual printed matter in each
page of a book under production. Each page should
have 2.5 cm margin along the top and bottom and
2 cm wide margin along to sides. What are most
economical dimension of each printed page?
12. Compute the Quartile Deviation for the following
data
X 10-20 20-30 30-40 40-50 50-60 60-70 70-80
F 5 12 19 10 9 6 3
Or
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Find the Standard deviation of the following:
Age 20-25 25-30 30-35 35-40 40-45 45-50
No. of persons 170 110 80 45 40 35
13. A problem is given to three candidates Band C.
The probabilities that these problem is solved by
these candidates independently are 1/3 and 1/4.
What is the probability that the problem will be
solved?
Or
Three percent of a given lot of manufactured parts
are defective. What is the probability that in a
sample of four items none will be defective?
14. From the following data construct an index for 1995
taking 1994 as base by the average of relatives
method using Geometric Mean for averaged
relatives.
Commodity Price in 1994 Price in 1995
A 50 70
B 40 60
C 80 90
D 110 120
E 20 20
Or
Briefly explain Factor reversal test.
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15. The average breaking strength of a steel rods is
specified to be 18.5 thousand pounds. To test this a
sample of 14 rods was tested. The mean and
standard deviation obtained were 17.85 and 1.955
respectively. Is the result of the experiment
significant?
Or
The following table gives the number of aircraft
accidents that occurred during the various days of
the week. Test whether the accidents are uniformly
distributed over the week.
Days Mon Tue Wed Thu Fri Sat
No. of accidents 14 18 12 11 15 14
Part C x 10 30)
Answer all questions.
16. Find the correlation coefficient between industrial
production and export using the following data:
Production 55 56 58 59 60 60 62
Export 35 38 37 39 44 43 44
Or
Heights of fathers and sons are given in
centimeters:
X Height of father 150 152 155 157 160 161 164 166
Y Height of son 154 156 158 159 160 162 161 164
Find the two lines of regression and calculate the
expected average height of the son when the height
of the father is 154 cm.
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17. In a certain factory turning razar blades there is a
small chance of 1/500 for any blade to defective. The
blades are in packets of 10. Use poison distribution
to calculate the approximate number of packets
containing
No defective
One defective
2 defective blades respectively in a
consignment of 10,000 packets.
Or
The weekly wages of 1000 workmen are normally
distributed around a mean of Rs. 70 with a S.D. of
Rs. 5. Estimate the number of workers whose
weekly wages will be
between Rs. 69 and Rs. 72
less than Rs. 69
more than Rs. 72.
18. Calculate from the following data the Fisher's Ideal
index and show how it satisfies the Time Reversal
test and Factor Reversal test.
Price Quantity
Item 1997 1998 1997 1998
A 8 20 50 60
B 2 6 15 10
C 1 2 20 25
D 2 5 10 8
E 1 5 40 30
Or
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The following table gives the classification of 100
workers according to sex and nature of work. Test
whether the nature of work is independent of the
sex of the worker.
Stable Unstable Total
Males 40 20 60
Females 10 30 40
50 50 100
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