Question

“Do two types of music, type-I and type-II, have different effects upon the ability of college students to perform a series of mental tasks requiring concentration?” To verify this question a subject pool of college students, randomly were sorted into two groups, A and B. The members of each group performed a series of mental tasks under conditions that were identical in every respect except that group A had music of type-I playing in the background, while group B had music of type-II.

The data were collected as follows:

Group A: music of type- I

26	21	22
26	19	22
26	25	24
21	23	23
18	29	22

Group B: music of type- II

18	23	21
20	20	29
20	16	20
26	21	25
17	18	19

Assume the normality of scores for both groups and test for equality of variances using α = .01.

(a) State the null and alternate hypotheses,

(b) report the value of the test statistic,

(c) find the critical value, and

(d) report your decision regarding the null hypothesis and your conclusion in the context of the problem.

(e) Find a 95% CI for the ratio of variances.

Answer 1