The sampling distribution of the ratio of independent sample variances extracted from two normal populations with equal variances is the
A) chi-square distribution.
B) normal distribution.
C) F distribution.
D) t distribution.

Question

Quizplus · Accepted Answer

The ratio of independent sample variances follows an F distribution. This is because the ratio of two independent chi-square distributions divided by their degrees of freedom follows an F distribution. In this case, the chi-square distributions come from the sample variances of two normal populations with equal variances, hence the resulting sampling distribution is an F distribution.

The Sampling Distribution of the Ratio of Independent Sample Variances