# Chapter 9 - Inferences from Two Samples - 9-5 Two Variances or Standard Deviations - Basic Skills and Concepts: 5

Fail to reject the null hypothesis.

#### Work Step by Step

$H_{0}:\sigma_1=\sigma_2,$ $H_{a}:\sigma_1\ne \sigma_2$. :$F=\frac{s_1^2}{s_2^2}=\frac{0.007507372^2}{0.005701052^2}=1.734067094.$ 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.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.