#### Answer

Fail to reject the null hypothesis.

#### Work Step by Step

$H_{0}:\sigma_1=sigma_2,$ $H_{a}:\sigma_1\ne \sigma_2$. :$F=\frac{s_1^2}{s_2^2}=\frac{0.0576^2}{0.0501^2}=1.3218.$ The critical values by the table with df=min(12,24)=12: $f_{0.025}=2.5411$. If the value of the test statistic is in the rejection region, we reject the null hypothesis. 1.3218 is less than 2.5411, hence we fail to reject the null hypothesis.