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

Multiple Choice

Test Hypotheses Regarding Two Population Standard Deviations
-Test the hypothesis that $\sigma _ { 1 } \neq \sigma _ { 2 }$ at the $\alpha = 0.05$ level of significance for the given sample data.
$\begin{array}{c|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 16 & 13 \\\mathrm{~s} & 20.4 & 23\end{array}$

A) Test statistic: $F = 0.79$ . Critical values $= 0.338,3.18$ . Do not reject $\mathrm { H } _ { 0 }$ .
B) Test statistic: $\mathrm { F } = 0.79$ . Critical values $= 0.314,3.18$ . Do not reject $\mathrm { H } _ { 0 }$ .
C) Test statistic: $\mathrm { F } = 0.79$ . Critical values $= 0.338$ , 3.18. Reject $\mathrm { H } _ { 0 }$ .
D) Test statistic: $\mathrm { F } = 0.79$ . Critical values $= 0.403,2.62$ . Reject $\mathrm { H } _ { 0 }$ .