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 F-distribution is defined as the ratio of two sample variances when the samples are independently drawn from two normal populations. Therefore, option D is the correct choice. Options A, B, and C do not accurately describe the conditions for a sampling distribution to be F-distributed.

The Sampling Distribution of the Ratio of Two Sample Variances