1(a) What do you mean by research?
Explain its significance in modern times. (4 Marks)
(b) Explain in detail different
techniques involved in defining a research problem. (8 Marks)
(c) Write detailed notes on data
collection and data analysis. (8 Marks)
2(a) Write a short note on data
collection through telephone. (6 Marks)
(b) Explain the terms arithmetic mean,
median, mode, geometric mean and harmonic mean. (10 Marks)
(c)
The growth rate of the demand of a product during last four years: 2008,
2009, 2010 and 2011 when compared to the demand of the base year 2007, are 20%,
30%, 35% and 40% respectively. Find the average growth rate of the demand of
the product. (4 Marks)
3(a) Distinguish between restricted and
unrestricted sampling. (8 Marks)
(b) Distinguish between systematic and
stratified sampling. (8 Marks)
(c) Explain and illustrate the procedure
of selecting a random sample. (6 Marks)
4 (a) Mention 6 differences between
survey and experiment. (6 Marks)
(b) What are the guiding considerations
in the construction of questionnaire? Explain. (6 Marks)
(c) Explain in detail different sampling
distributions. (8 Marks)
5 (a) Explain the law of statistical
regularity and the law of inertia of large numbers. (8 Marks)
(b) Describe briefly probability methods
and nonprobability methods of sampling. (8 Marks)
(c) The following data relates to the age
distribution f 50 persons:
Age

2030

3040

4050

5060

6070

7080

No. of persons

3

7

14

16

8

2

Draw a histogram for the data and find
the modal value. Check the value by direct calculation. (4 Marks)
6(a) What is Sandler’s Atest. (6 Marks)
(b) Explain null hypothesis of hypothesis
testing. (6 Marks)
(c) Write a note on measuring the power
of a hypothesis test. Illustrate it with the help of an example. (8 Marks)
7(a) Explain in detail different
parametric testing of hypothesis. (12 Marks).
(b) The specimen of copper wires drawn
from a large lot have the following breaking strength in kg.wt:
578,572,570,568,572,578,570,572,596,544.Test (using student’s tstatistic)
whether the mean breaking strength of the lot may be taken o be 578 kg.weight.
Test at 5% level of significance. Verify the inference so drawn by using
Sandler’s Astatistic as well. (8 Marks)
8(a)What do you understand by
interpretation of data? Write a detailed note on its utility. (8 Marks)
(b) Describe the chief features of a good
research report. Give suitable examples. (8 Marks)
(c) Mention important points to be taken
care of during a power point presentation. (4 Marks)
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