What is the critical value for a two-tailed F test with α = 0.10, when the sample size from which the variance for the numerator was obtained is 10, and the sample size from which the denominator was obtained is 24?
A) 2.27
B) 2.25
C) 2.32
D) 2.30

Question

Quizplus · Accepted Answer

Looking at a table of critical values for the F distribution with α = 0.10 and degrees of freedom for the numerator and denominator, we find that the critical value is 2.32. Using the given sample sizes, we have degrees of freedom for the numerator = 10 - 1 = 9 and for the denominator = 24 - 1 = 23. Therefore, the critical value is F(0.05; 9, 23) = 2.32.

What Is the Critical Value for a Two-Tailed F Test