Math  /  Data & Statistics

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A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05 .
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Let μBaseball \mu_{\text {Baseball }} be the population mean weight (in pol male college soccer players. Determine the hypoth H0:μBaseball μSoccer =0Ha:μBaseball μSoccer 0\begin{array}{l} H_{0}: \mu_{\text {Baseball }}-\mu_{\text {Soccer }}=0 \\ H_{\mathrm{a}}: \mu_{\text {Baseball }}-\mu_{\text {Soccer }} \neq 0 \end{array}
Find the test statistic for this test. t=\mathrm{t}=\square (Round to two decimal places as needed.) \square
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Weights (in pounds) \begin{tabular}{|cccc|} \hline Baseball & Soccer & Baseball & Full Data Set \\ 184 & 164 & 180 & 153 \\ 193 & 186 & 206 & 165 \\ 186 & 183 & 192 & 169 \\ 179 & 184 & 177 & 151 \\ 190 & 179 & 176 & 144 \\ 202 & 188 & 189 & 171 \\ 183 & 169 & 199 & 174 \\ 172 & 180 & 193 & 177 \\ 202 & 165 & 178 & 172 \\ 219 & 175 & 188 & 184 \\ 223 & 164 & 188 & 152 \\ 190 & 185 & 179 & 159 \\ 167 & 180 & & \\ \hline \end{tabular}
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Studdy Solution
The t-statistic is 3.623.62.

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