10. Hypothesis Testing for Two Samples

Which statement about the $F$-distribution is always true?

Two machines produce metal rods. You take independent random samples of their lengths (shown below) as part of a hypothesis test. Calculate the F statistic for this test.

Sample A: $s^2=2.1,n=10$

Sample B: $s^2=4.2,n=12$

In a two-sample Hypothesis Test for Variance, what does an $F$-statistic near 1 indicate?