Section 10.4 Summary

1. In this section, we learn how to perform hypothesis tests regarding two population standard deviations, using a new distribution called the $F$ distribution. The $F$ tables can be used to find critical values of the $F$ distribution.
2. The $F$ test for comparing two population standard deviations may be performed using the critical-value method, where the test statistic $F_{\text{data}}$ is compared with the critical value(s) of the $F$ distribution.
3. The $F$ test may also be performed using the $p$-value method, where the $p$-value is compared with the level of significance $\alpha$.