Two toy companies are being compared with respect to the time it takes them to build a popular wooden train set. The study is interested in determining whether there is a difference in the variability between the two toy companies production times. They wish to conduct the hypothesis test using an alpha = 0.05. If random samples of 20 train sets are selected from each toy company, what is the appropriate F critical value?
A) 2.526
B) 2.938
C) 2.168
D) 2.124

Question

Quizplus · Accepted Answer

The appropriate F critical value for comparing the variances of two samples (each with n=20, thus degrees of freedom = 19 for both samples) at an alpha level of 0.05 is 2.526. This value is found in F-distribution tables using the degrees of freedom for the numerator (df1 = 19) and the denominator (df2 = 19) at the specified alpha level.

Two Toy Companies Are Being Compared with Respect to the Time