Chapter 12, Problem AP4.26CPT

To determine

To find out which of the following statements about the t distribution with degrees of freedom is true.

Answer to Problem AP4.26CPT

Option (e) is the correct option.

Explanation of Solution

In the question three statements are given. We have to find out the true statement for the degrees of freedom. Thus, by looking at the statements we can say that,

In I statement, it is true because all t-distribution are symmetric. In II statement, it is true because the degrees of freedom decrease, the t distribution becomes wider and thus the t distribution has more variability. In the III statement, it is true because the larger the degrees of freedom the more closely the t distribution resembles the standard normal distribution. Thus, option (e) is the correct option.