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 $\alpha = 0.05$ level of significance for the given sample data.
$\begin{array}{c|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 9 & 10 \\\mathrm{~s} & 0.0782 & 0.2079\end{array}$

A) Test statistic: $\mathrm { F } = 0.14$ Critical value: $0.295$ . Reject $\mathrm { H } _ { 0 }$ .
B) Test statistic: $F = 0.14$ Critical value: $0.310$ . Reject $\mathrm { H } _ { 0 }$ .
C) Test statistic: $\mathrm { F } = 0.14$ Critical value: $0.318$ . Do not reject $\mathrm { H } _ { 0 }$ .
D) Test statistic: $\mathrm { F } = 0.14$ Critical value: $0.295$ . Do not reject $\mathrm { H } _ { 0 }$ .