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 242 girls are randomly selected, with 121 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. $$\begin{array}{l}\begin{array} { l | c | c | c } & n & \bar { x } & s ^ { 2 } \\\hline \text { Program 1 } & 121 & 78.3 & 201.8 \\\text { Program 2 } & 121 & 75.5 & 259.1\end{array}\\\text { Test to determine if the variances of the two programs differ. Use } \alpha = .05 \text {. }\end{array}$$