The weights in ounces of a * 2 points sample of running shoes for men and women are shown. Test the claim that the means are different at \( a=0.05 \). A partial Excel output table is given. What is the decision of the test? \begin{tabular}{|c|rrr|} \hline \multicolumn{2}{|c|}{ Men } & \multicolumn{2}{|c|}{ Women } \\ \hline 10.4 & 12.6 & 10.6 & 10.2 \\ 8.8 \\ 11.1 & 14.7 & 9.6 & 9.5 \\ 10.8 & 12.9 & 10.1 & 11.2 \\ 11.7 & 13.3 & 9.3 & 10.3 \\ 12.8 & 14.5 & 9.8 & 10.3 \\ 11.0 \\ \hline \end{tabular}
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- Alternative Hypothesis (\(H_a\)): The means of the weights of men's and women's running shoes are different (\(\mu_1 \neq \mu_2\)). Show more…
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Weights of Running Shoes The weights in ounces of a sample of running shoes for men and women are shown. Test the claim that the means are different. Use the $P$ -value method with $\alpha=0.05 .$ $$ \begin{array}{ll|ccc}{\text { Men }} & {} & {\text { Women }} & {} \\ \hline 10.4 & {12.6} & {10.6} & {10.2} & {8.8} \\ {1.1} & {14.7} & {9.6} & {9.5} & {9.5} \\ {10.8} & {12.9} & {10.1} & {11.2} & {9.3} \\ {11.7} & {13.3} & {9.4} & {10.3} & {9.5} \\ {12.8} & {14.5} & {9.8} & {10.3} & {11.0} \\ \hline\end{array} $$
Testing the Difference Between Two Means, Two Proportions, and Two Variances
Testing the Difference Between Two Means of Independent Samples: Using the t Test
The weights in ounces of a sample of running shoes for men and women are shown. Test the claim that the means are different. Use the $P$ -value method with $\alpha=0.05$
Perform the following steps. Assume that all variables are normally distributed. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. The weights in ounces of a random sample of running shoes for men and women are shown. Calculate the variances for each sample, and test the claim that the variances are equal at $\alpha=0.05$. Use the $P$ -value method. $$ \begin{array}{rrr|rrr} && {\text { Men }} & {\text { Women }} \\ \hline 11.9 & 10.4 & 12.6 & 10.6 & 10.2 & 8.8 \\ 12.3 & 11.1 & 14.7 & 9.6 & 9.5 & 9.5 \\ 9.2 & 10.8 & 12.9 & 10.1 & 11.2 & 9.3 \\ 11.2 & 11.7 & 13.3 & 9.4 & 10.3 & 9.5 \\ 13.8 & 12.8 & 14.5 & 9.8 & 10.3 & 11.0 \end{array} $$
Testing the Difference Between Two Variances
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