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MC0-03 Question Bank

MC0-03 Question Bank (2)

MC0-03 Question Bank,  Research Methodology And Statistical Analysis 

December, 2012

MCO-03 : Research Methodology And Statistical Analysis

1. (a) What do you mean by a research problem ? Explain the sources of research problem and the points to be considered while formulating the Research Problem.             (b) Explain how to formulate objectives in the hight of Research Problem.

2. Define a hypothesis. What are the advantages of formulating it in a research study ? Describe the criteria for workable hypothesis.      

3. (a) Give a brief description of the different kinds of diagram generally used in business

research to present the data.      

(b) Discuss the merits and limitations of median and mode as measures of central tendency.

4. The following table gives the frequency distribution of expenditure on education per family among middle class families in two cities.

Expenditure (in thousand Rs.)

No. of Families

City 'A'

City 'B'

3 – 6

28

39

6 – 9

292

284

9 – 12

389

401

12 – 15

212

202

15 – 18

59

48

18 – 21

18

21

21 – 24

2

(5)

(a) Find the standard deviation of the expenditure at both cities.

(b)  Find out which of the city shows greater variability.

5. (a) The following results have been ascertained from the time series data with the help of least square method. The duration of the time is from the year 2001 to 2007.

N = 7, =532, Ix = 0, /,xy = 136 /x2 =28

You are required to

(i)  fit a straight line

(ii)  using the straight line equation estimate the trend in 2011.

(b) From past records, about 40% of a firm's orders are for export. Their record for exports is 48% in one particular financial quarter. If they expect to satisfy about 80 orders in the next financial quarter, what is the probability that they will break their previous  export  record. (Table value of Z   1.46 = 0.4279)

6.  (a) What are the conditions required for applying chi-square test ? Explain its limitations for applying the test.

(b) In order to know the brand preference of two washing detergents, a sample of 1000 consumers were surveyed. 56% of the consumers preferred Brand X and 44% of the consumers preferred Brand Y. Do these data conform to the idea that consumers have no special preference for either brand ? Take significance level as 0.05. (Table Value at 5% level of significance and df =1 is 3.841.)

7.  What do you understand by conclusions and generalisations ? Explain the logical and statistical methods of generalisation.

8.  Write short notes on any four of the following :

(a)  Tests of Hypothesis 

(b)  Normal Distribution

(c)  Addition rule for Non-Mutually Exclusive Events

(d)  Sample size

(e)  Continuous Rating Scale

(f)  Multi-Stage sampling 

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

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