When testing for the difference between two population variances with sample sizes of n₁ = 8 and n₂ = 10,the degrees of freedom are: A)8 and 10 B)7 and 9 C)2 and 18 D)18 and 2

Question

Quizplus · Accepted Answer

To test for the difference between two population variances, we use the F-test. The degrees of freedom for the F-test are calculated using the formula:

df numerator = n1 - 1
df denominator = n2 - 1

where n1 and n2 are the sample sizes for the two populations.

In this case, n1 = 8 and n2 = 10. Therefore, the degrees of freedom are:

df numerator = 8 - 1 = 7
df denominator = 10 - 1 = 9

Therefore, the correct choice is B, which gives the degrees of freedom for the numerator and denominator of the F-test.

When Testing for the Difference Between Two Population Variances with Sample