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Suppose It Desired to Compare Two Physical Education Training Programs

Question 31

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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.


 n xˉ s2Program 1 6178.9201.1Program 2 6175.5259.8\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 α=.05\alpha = .05

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