The F-distribution is the sampling distribution of the ratio of:
A) two normal population variances
B) two normal population means
C) two sample variances provided that the samples are independently drawn from two normal populations with equal variances
D) two sample variances provided that the sample sizes are large
E) none of these

Question

Quizplus · Accepted Answer

The F-distribution is the sampling distribution of the ratio of two sample variances provided that the samples are independently drawn from two normal populations with equal variances. Therefore, choice C is the correct answer. Choices A and B refer to the normal distribution and not the F-distribution. Choice D is incorrect because there is no mention of the sample sizes being large. Choice E is incorrect because one of the choices (C) is correct.

The F-Distribution Is the Sampling Distribution of the Ratio Of