M.Phil. DEGREE EXAMINATION, NOVEMBER 2017
First Semester
Management
TECHNIQUES OF RESEARCH
(CBCS 2017 onwards)
Time 3 Hours Maximum 75 Marks
Section A x 3 18)
Answer all the questions.
1. Mention the characteristics of a good classification.
2. Define standard deviation.
3. State the important relative measures of skewness.
4. Explain the concept of regression.
5. What is x 2 test of goodness of fit?
6. What is sign test? Explain with the help of an example.
Section B x 6 24)
Answer any four questions.
All questions carry equal marks.
7. What are the differences between classification and
tabulation?
Sub. Code
7PMG1C2
AFS-0195
2
Sp4
8. From the under mentioned details, calculate standard
deviation
Marks 10 20 30 40 50 60
No. of students 8 12 20 10 7 3
9. You are given below the following information about
advertising and sales
Advertising (Rs. in lakhs) Sales (Rs. in lakhs)
Mean 10 90
S.D 3 12
Correlation co-efficient is 0.8. Obtain two regression
lines.
10. The following table gives the number of aircraft accidents
that occurs during the various days of the week. Find the
whether the accidents are uniformly distributed over the
week.
Days Sun. Mon. Tue. Wed. Thur. Fri. Sat
No. of accidents 14 16 8 12 11 9 14
(The table value of 2 for 6 d.f at level of significance
is 12.59)
11. What are the uses and limitations of Chi-square test?
12. Ten competition in a beauty contest are ranked by three
judges in the following order
1st judge 1 5 4 8 9 6 10 7 3 2
2nd judge 4 8 7 6 5 9 10 3 2 1
3rd judge 6 7 8 1 5 10 9 2 3 4
Use the rank correlation coefficient to discuss which pair
of judges have nearest approach to common tastes in
beauty.
AFS-0195
3
Sp4
Section C x 11 33)
Answer ALL questions, choosing either or
13. What do you mean by tabulation? Discuss the
general rules to be followed in tabulation.
Or
Find Bowley's co-efficient of skewness for the
following frequency distribution
No. of childreness per family 0 1 2 3 4 5 6
No. of families 7 10 16 25 18 11 8
14. Calculate the correlation co-efficient from the
following data
X 12 9 8 10 11 13 7
Y 14 8 6 9 11 12 3
Or
The folowing table gives the yield on 15 sample
fields under three varieties of seeds A,B and
A B C
20 18 25
21 20 28
23 17 22
16 25 28
20 15 32
Test at level of significance whether the average
yields of land under different varieties of seeds show
signficance differences (Table value of F at level
for V1 2 and V2 =12 is 3.88)
AFS-0195
4
Sp4
15. In a survey of 200 boys of which 75 were intelligent,
40 had educated fathers, while 85 of the
unintelligent boys had uneducated fathers. Do these
figures support the hypothesis that educated fathers
have intelligent boys? (value of 2 for 1 d.f. is
3.841)
Or
The following data relates to the number of
minutes patients had to wait in the clinic of 3
doctors.
Doctor 15 23 28 22 25 30 35
Doctor B 18 10 25 23 26 32 34
Doctor C 40 36 28 21 42 25 10
By using test can it be inferred that the samples
have come from identical populations. (Use 0.01
level of significance)
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