Test the Hypothesis That $\sigma _ { 1 } > \sigma _ { 2 } \text { at the } \alpha = 0.01$

Multiple Choice

Test the hypothesis that $\sigma _ { 1 } > \sigma _ { 2 } \text { at the } \alpha = 0.01$ level of significance for the given sample data.
$\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 61 & 31 \\\mathrm {~s} & 34.4 & 27.6\end{array}$

A) Test statistic: F=1.55 . Critical value =2.21 . Do not reject H₀
B) Test statistic: F=1.55 . Critical value =2.03 . Reject H₀
C) Test statistic: F=42.88 . Critical value =2.03 . Reject H₀
D) Test statistic: F=1.25 . Critical value =2.21 . Do not reject H₀