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A Random Sample of 13 Men and 19 Women in a College

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A random sample of 13 men and 19 women in a college class reported their grade point averages (GPAs). Here are histograms from the data:

 A random sample of 13 men and 19 women in a college class reported their grade point averages (GPAs). Here are histograms from the data:     Summary statistics for these data are:  \begin{array}{|l|c|c|} \hline& \bar{y} & s \\ \hline \text { Men } & 2.898 & 0.583 \\ \hline \text { Women } & 3.330 & 0.395 \\ \hline \end{array}  -A woman in the class says that she believes that college women tend to have higher GPAs than do college men. Does this sample support her claim? Test an appropriate hypothesis and state your conclusion.

Summary statistics for these data are:
yˉs Men 2.8980.583 Women 3.3300.395\begin{array}{|l|c|c|}\hline& \bar{y} & s \\\hline \text { Men } & 2.898 & 0.583 \\\hline \text { Women } & 3.330 & 0.395 \\\hline\end{array}
-A woman in the class says that she believes that college women tend to have higher GPAs than do college men. Does this sample support her claim? Test an appropriate hypothesis and state your conclusion.

Correct Answer:

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H0: µW - µM = 0, HA: µW - µM > 0 where M...

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