Two physical education training programs for adolescents are being compared. A total

of 42 adolescents are randomly selected, with 21 assigned to each program. After

three six-week periods in the program, each adolescent is given a fitness test that

yields a score between 0 and 100. The means and variances of the scores for the two

groups are as follows:

n x-bar s2Program 1 21 78.3 201.9Program 2 21 75.1 259.5Required:

Using = 0.05, test to determine if the variances of the two programs differ using the

following steps:

a) Provide the null and alternative hypotheses.

b) Calculate the rejection region (F value).

c) Calculate the test statistic (F value).

d) Based on the analysis, explain what should be concluded about the variances of the

two programs differing.