1. What is hypothesis testing Discuss the steps involved in setting up the level of significance with suitable examples.

2. Define Correlation. Find out if relationship exists between the two data given below with the help of Spearman's Rank. coefficient of correlation:

Data 1 20, 31, 42, 60, 51, 77, 62, 45, 50, 59
Data 21,34,39,59,53, 79,61,47,48,58

3. Differentiate between parametric and non-parametric statistics. Compute chi-square for the following data:

For the following question 'Whether cancer is contagious?', the replies given by individuals belonging to low and high Socio-Economic Status is given below:

Response
Yes No Total
Low SES 72 48 120
High SES 34 46 80
Critical value: 0.01, level of significance =6·635

4. Explain the term variance. A research was carried out to study the effectiveness of three different methods in enhancing mathematical performance of students. The data based on the performance test is given below.. Find out if significant difference exists in the performance of the students with the help of ANOVA.

Group A Group B Group C
(Method (Method (Method
6 12 10
10 9 7
9 12 8
7 13 6
10 11 5
8 10 7
11 15 9
11 18 13
10 8 11
12 14 8

Critical value 0.01, level of significance =5·49.

5. Differentiate between descriptive and inferential statistics.

6. Compute the regression equation with the help of the following data:

X: 10, 10
Y: 10, 5

7. Calculate Mann-Whitney U test with the help of the following data:

Data 20,27,30,31,32,25
Data 26,33,40,36,28,21

8. Explain divergence in normality with the help of a suitable diagram.

9. Discuss the merits and demerits of Two-way ANOVA.

Write short notes on any two of the following in about 100 words each:

10. Levels of Significance

11. Linear Relationship

12. Degree of Freedom