Question

You are testing a claim about the equality of two population variances. Two independent, simple random samples are drawn from normal populations and the results are below. What are the degrees of freedom for the numerator and denominator of the F-test?

Sample 1 Sample 2
s 10.75 14.89
n 47 33

A. Numerator df = 47, denominator df = 33
B. Numerator df 33, denominator df = 47
C. Numerator df = 46, denominator df = 32
D. Numerator df = 32, denominator df = 46

Answer 1

The degrees of freedom for the numerator and denominator of the F-test are 46 and 32, respectively.

Step-by-step explanation:

The degrees of freedom for the numerator and denominator of the F-test are determined by the sample sizes of the two groups. For the numerator, the degrees of freedom is equal to the sample size of Sample 1 minus 1, which is 47 - 1 = 46. For the denominator, the degrees of freedom is equal to the sample size of Sample 2 minus 1, which is 33 - 1 = 32. So the correct answer is option C. Numerator df = 46, denominator df = 32.