3. A sample of 16 items provides a sample standard deviation of 9.5 . Test the following hypoth- eses using $$ \alpha=.05 $$. What is your conclusion? Use both the $$ p $$-value approach and the critical value approach. $$ \begin{array}{l}H_{0}: \sigma^{2} \leq 50 \ H_{a}: \sigma^{2}50\end{array} $$

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3. A sample of 16 items provides a sample standard deviation of 9.5 . Test the following hypoth- eses using $$ \alpha=.05 $$. What is your conclusion? Use both the $$ p $$-value approach and the critical value approach. $$ \begin{array}{l}H_{0}: \sigma^{2} \leq 50 \ H_{a}: \sigma^{2}>50\end{array} $$

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The null hypothesis is rejected in both the critical value and p-value approaches, indicating that there is sufficient evidence to conclude that the population variance is greater than 50 at the 0.05 significance level.

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