**2013**

(December)

COMMERCE

Paper: 203

(**Research Methodology and Statistical Analysis**)

Full Marks: 80

Time: 3 hours

The figures in the margin indicate full marks for the questions

1. (a) What is Research Design? Discuss the utility of Research Design. 4+12=16

Or

(b) Write notes on: 4×4=16

1) Nominal Data.

2) Ordinal Data.

3) Interval Data.

4) Ratio Data.

2. (a) Compare and contrast between: 8×2=16

1) Measure of Central Tendency Vs. Measure of Variation.

2) Correlation Vs. Regression Analysis.

Or

(b) What is Time Series Analysis? Find the Trend from the following data: 6+10=16

Year: |
Y |
Y |
Y |
Y |
Y |
Y |
Y |

Sales (units): | 848 | 675 | 513 | 479 | 500 | 425 | 319 |

3. (a) Write a note on the characteristics and applications of: 2(4+4)=16

1) Binomial Distribution.

2) Poison Distribution.

Or

(b) What is Statistical Decision Theory? Discuss the scope of Statistical Decision Theory in Business. 4+12=16

4. (a) (1) Distinguish between Point and Interval Estimation of Population Mean. 4

(2) Give that size of sample is 100, average height is 64 inches and sample standard deviation is 3 inches. Estimate: Population Limits of (A) Arithmetic Mean, (B) Standard Deviation (C) Variance. 4+4+4=12

Or

Student | Marks Secured
In 1 | Marks Secured
In 2 |

1 2 3 4 5 6 7 8 9 10 11 | 23 20 19 21 18 20 18 17 23 16 19 | 24 19 22 18 20 22 20 20 23 20 17 |

Do the marks give evidence that students have been benefitted by the extra
coaching? [Assume that marks in the population are normally distributed].
It is also given for y = 10, t_{0.05 }= 2.228. 16

5. (a) Write about the scope of: 4×4=16

1) Rank Correlation Test.

2) Chi-Square Test.

3) Sign Test.

4) Median Test.

Or

(b) Discuss about the steps involved in Report writing. Also highlight the contents of a Research Report. 8+8=16