Which of the following statements correctly explains what happens to the variability of a t-distribution as the sample size increases?

Options?

Explanation:

Here are the answer choices

Explanation:

A.) The variability of the t-distribution decreases as the sample size increases because the sample standard deviation approaches the population standard deviation.

B.) The variability of the t-distribution increases as the sample size increases because the sample standard deviation approaches the population standard deviation

C.) The variability of the t -distribution increases as the sample size increases because the mean of the distribution increases.

D.)The variability of the t-distribution decreases as the sample size increases because the mean of the distribution decreases.

E.) The variability of the t-distribution remains constant as the sample size increases because the t-statistic is defined by the sample standard deviation.