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Thursday, November 26, 2015





Roll No…….

MAY-2014
MANAGEMENT PROGRAMME
QUANTITATIVE TECHNIQUES
Time: 3 Hrs.                                                                           Max. Marks: 60

Note: There are three sections: Section-A, Section-B and Section-C in this Paper.

SECTION-A
(10 X 2=20)
1.     Attempt any four questions from Section-A.
i.                   What is the role of mathematics and statistics in business decision?
ii.                 What are index numbers and why they are called Business Barometers?
iii.              Differentiate between Census and sampling?
iv.              A balanced coin is tossed 4 times. Find the probability distribution of the number of heads and its Expectations.
v.                 List different Time series methods and their uses.
vi.              What are the t and F-test.  In which situation these are applied?

SECTION-B
UNIT-I
(4 X 8=32)
2.     Calculate median, 6th decile and 40th, 9th percentile from the following data:
Wages per Week
No. of workers
50-100
15
100-150
40
150-200
35
200-250
60
250-300
125
300-350
100
350-400
70
400-450
40
450-500
15

3.     Find the inter quartile range from the following data:
Class Interval
Frequency
0-15
6
15-30
18
30-45
35
45-60
57
60-75
28
75-90
19
90-105
7

UNIT-II

4.     The manufacturer of a spot remover claims that his product removes at least 90% of all spots.  What can be concluded about his claim at the level of significance cr.=0.05, if the spot remover removed only 174 of the 200 spots chosen at random from the spots on clothes brought to a dry cleaning establishment?
5.     To see whether silicon chip sales are independent of where the US economy in the business cycle, data have been calculated on the weekly sales of a firm and on whether the US economy was rising to a cycle peak, at a cycle peak, falling to a cycle peak or at a cycle through.  The results are
Weekly chip sale

High
Medium
Low
Total
Economy at peak
20
7
3
30
Economy at through
30
40
30
100
Economy rising
20
8
2
30
Economy falling
30
5
5
40
Total
100
60
40
200


State the null hypothesis. At 0.10 significance level, what is your conclusion? (Given the tabulated value of test statistic is 10.645)

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