Question 1
Suppose it desired to compare two physical education training programs for preadolescent girls. A total of 82 girls are randomly selected, with 41 assigned to each program. After three 6-week periods on the program, each girl 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 shown in the table.

Test to determine if the variances of the two programs differ. Use α = .05.
Question 2
Independent random samples were selected from each of two normally distributed populations,

from population 1 and

from population 2. The data are shown below.
Population 1: | 2.5 | 3.1 | 2.3 | 1.8 | 4.2 | 3.5 | 3.9 |
Population 2: | 2.9 | 1.7 | 4.6 | 3.5 | 3.7 | 2.8 | 4.6 | 3.4 | 1.9 |
Find the test statistic for the test of

against
.◦ 1.36
◦
◦ .735
◦ .857