When testing for the difference between 2 population variances with sample sizes of n₁ = 8 and n₂ = 10, where n₁ has the larger variance, the number of degrees of freedom are
A) 8 and 10.
B) 7 and 9.
C) 18.
D) 16.

Question

Quizplus · Accepted Answer

When testing for the difference between 2 population variances with unequal sample sizes, the number of degrees of freedom is given by:

df = (n₁-1) + (n₂-1) = 7 + 9 = 16

Therefore, the correct choice is B, with degrees of freedom of 7 and 9. Choice A is incorrect because it suggests that each sample size has its own degrees of freedom, which is not the case. Choice C is incorrect because it suggests a single degrees of freedom value for both samples, which is also incorrect.

When Testing for the Difference Between 2 Population Variances with Sample