**June, 2013 **

**MC0-03 : Research Methodology And Statistical Analysis **

1. (a) What is a research problem ? In the light of research problem how are hypothesis framed ? Explain with examples.

(b) What are the statistical techniques used to test the hypothesis ? Explain them briefly.

2. What are the various methods of collecting primary data ? Explain them briefly and make a questionnaire to carry out a survey to find out the investment pattern made by the employees of ABC Company and to understand their risk behaviour.

3. A sales manager of a soft drink company is studying the effect of its latest advertising campaign. People chosen at random were called and asked as to how many bottles they had bought in the past week and how many advertisements of this product they had seen in the past week.

No.of ads (x) |
4 |
0 |
2 |
7 |
3 |
4 |
2 |
6 |

Bottles purchased |
6 |
5 |
4 |
16 |
10 |
9 |
6 |
14 |

(a) Develop the estimating equation that best fits the data and test its accuracy.

(b) Calculate correlation coefficient and coefficient of determination.

(c) Predict y value when x=5.

4. The production (in thousand tonnes) in a sugar factory during 1994 to 2001 has been as

follows :

Year |
1994 |
19.95 |
1996 |
1997 |
1998 |
1999 |
2000 |
2001 |

Production |
35 |
38 |
49 |
41 |
56 |
58 |
76 |
75 |

(a) Find the trend values by applying the method of least square.

(b) What is the monthly increase in production ?

(c) Estimate the production of sugar for the year 2008.

5. (a) What are the different types of scales used to measure the attitude of a person ? Briefly explain these scales giving suitable examples.

b) Construct semantic differential scale to measure the experience of respondents towards X brand of a shaving cream.

6 (a) Define a binomial probability distribution and state the conditions under which the binomial probability model is appropriate.

(b) Explain the procedure involved in poison distribution.

7. (a) What is reporting ? What are the different stages in the preparation of a report ?

Explain briefly.

(b) What are the aspects that have to be checked before going to final typing.

8. Write explanatory notes on any two following :

(a) Statistical Derivatives

(b) Methods of Generalisation

(c) Methods of Agreement

(d) Essentials of Interpretation