A researcher studying the sleep habits of teens will select a random sample of n n
teens from the population to survey. The researcher will construct a t
t
-interval to estimate the mean number of hours of sleep that teens in the population get each night. Which of the following is true about the t
t
-distribution as the value of n
n
decreases from 40 to 20 ?

The center decreases, and the area in the tails of the distribution increases.
The center decreases, and the area in the tails of the distribution increases.

The center increases, and the area in the tails of the distribution decreases.
The center increases, and the area in the tails of the distribution decreases.

The center remains constant, and the area in the tails of the distribution remains constant.
The center remains constant, and the area in the tails of the distribution remains constant.

The center remains constant, and the area in the tails of the distribution decreases.