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

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 $\mathrm { H } _ { 0 }$ .