The sampling distribution of the ratio of two sample variances is said to be F-distributed provided that:
A) the samples are independent from any distributions.
B) the populations are normal with equal variances.
C) the samples are matched and their sizes are large.
D) the samples are independently drawn from two normal populations.

Question

The sampling distribution of the ratio of two sample variances  is said to be F-distributed provided that:
A) the samples are independent from any distributions. 
B) the populations are normal with equal variances. 
C) the samples are matched and their sizes are large. 
D) the samples are independently drawn from two normal populations.

Quizplus · Accepted Answer

The sampling distribution of the ratio of two sample variances is said to be F-distributed provided that the samples are independently drawn from two normal populations. Option D mentions this condition and is the best choice. Options A, B, and C do not mention this condition and are not correct.

The Sampling Distribution of the Ratio of Two Sample Variances