Test the Hypothesis That $\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.05$

Multiple Choice

Test the hypothesis that $\sigma _ { 1 } < \sigma _ { 2 } \text { at the } \alpha = 0.05$ level of significance for the given sample data.
$\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 9 & 10 \\\mathrm {~s} & 0.0782 & 0.1955\end{array}$

A) Test statistic: F=0.16 Critical value: 0.295 . Reject H₀
B) Test statistic: F=0.16 Critical value: 0.310 . Reject H₀
C) Test statistic: F=0.16 Critical value: 0.318 . Do not reject H₀
D) Test statistic: F=0.16 Critical value: 0.295 . Do not reject H₀