Suppose It Desired to Compare Two Physical Education Training Programs

Essay

Suppose it desired to compare two physical education training programs for preadolescent girls. A total of 122 girls are randomly selected, with 61 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.


$\begin{array}{l|c|c|c} & \text { n } & \bar{x} &\text { s}^{2}\\\hline \text {Program 1 }& 61 & 78.9 & 201.1 \\\text {Program 2 }& 61 & 75.5 & 259.8\end{array}$

Test to determine if the variances of the two programs differ. Use $\alpha = .05$