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Suppose It Desired to Compare Two Physical Education Training Programs

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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. nxˉs2 Program 1 4178.5201.7 Program 2 4175.8259.6 Test to determine if the variances of the two programs differ. Use α=.05\begin{array}{l}\begin{array} { l | c | c | c } & n & \bar { x } & s ^ { 2 } \\\hline \text { Program 1 } & 41 & 78.5 & 201.7 \\\text { Program 2 } & 41 & 75.8 & 259.6\end{array}\\\\\text { Test to determine if the variances of the two programs differ. Use } \alpha = .05 \text {. }\end{array}

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