## Elementary Statistics (12th Edition)

$H_{0}:\sigma_1=\sigma_2,$ $H_{a}:\sigma_1\ne \sigma_2$. :$F=\frac{s_1^2}{s_2^2}=\frac{0.007507372^2}{0.005701052^2}=1.734067094.$ The P is the corresponding probability using the table, hence P=0.1081070292. IF the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis. Hence:P is more than $\alpha=0.05$, hence we fail to reject the null hypothesis. Hence the weights don't seem to have different standard deviations.