The sampling distribution used when making inferences about a single population's variance is
A) an F distribution.
B) a t distribution.
C) a chi-square distribution.
D) a normal distribution.

Question

Quizplus · Accepted Answer

When making inferences about a single population's variance, the sampling distribution used is a chi-square distribution. This is because the variance is a sum of squared deviations from the mean, and the chi-square distribution is based on the sum of squared normal random variables. Therefore, the chi-square distribution is used for hypothesis testing and confidence interval estimation of the population variance.

The Sampling Distribution Used When Making Inferences About a Single