Test Hypotheses Regarding Two Population Standard Deviations
-Test the Hypothesis $\sigma _ { 1 } > \sigma _ { 2 }$

question 78

Multiple Choice

Test Hypotheses Regarding Two Population Standard Deviations
-Test the hypothesis that $\sigma _ { 1 } > \sigma _ { 2 }$ at the $\alpha = 0.01$ level of significance for the given sample data.
$\begin{array}{c|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 61 & 31 \\\mathrm{~s} & 27.5 & 26.3\end{array}$

• A) Test statistic: \(\mathrm { F } = 1.09\). Critical value \(= 2.21\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { F } = 1.09\). Critical value \(= 2.03\). Reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 28.75\). Critical value \(= 2.03\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { F } = 1.05\). Critical value \(= 2.21\). Do not reject \(\mathrm { H } _ { 0 }\).

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