A potato chip manufacturer has two packaging lines and wants to determine if the variances differ between the two lines. They take samples of n1 = 10 bags from line 1 and n2 = 8 bags from line 2. To perform the hypothesis test at the 0.05 level of significance, the critical value is F = 3.68.

Question

Quizplus · Accepted Answer

The critical value for an F-test to compare variances depends on the degrees of freedom for each sample and the chosen level of significance. The degrees of freedom for each sample are n1 - 1 and n2 - 1, respectively. The critical value of F at the 0.05 level of significance for the given degrees of freedom (9 and 7, respectively) would not be universally fixed at 3.68 without specifying the direction of the test (one-tailed or two-tailed) and consulting the appropriate F-distribution table.

A Potato Chip Manufacturer Has Two Packaging Lines and Wants