The critical value for a two-tailed F test is 2.65 when α = 0.05, the sample size from which the variance for the numerator was obtained is 10, and the sample size from which the variance for the denominator was obtained is 15.

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Quizplus · Accepted Answer

The critical value for an F test depends on the degrees of freedom for the numerator and denominator, which are based on the sample sizes minus one. For a numerator sample size of 10 and a denominator sample size of 15, the degrees of freedom would be 9 and 14, respectively. The critical value for these degrees of freedom at α = 0.05 would not be exactly 2.65; it would need to be looked up in an F-distribution table or calculated using statistical software.

The Critical Value for a Two-Tailed F Test Is 2