Two Fuqua students (who were thrilled with the Central Limit Theorem for the sample mean) have looked at all possible samples of size 25 from the population of students in their class. For each of those samples, the two students have also recorded the corresponding average age. Pick the FALSE statement among the following three: Group of answer choices The distribution of the average age of students in all samples of size 25 has a mean which is equal to the average age of a student in their class. The distribution of the average age of students in all samples of size 25 has a standard deviation which is smaller than the standard deviation of the ages of students in their class. The distribution of the average age of students in all samples of size 25 is the same as the distribution of the ages of students in their class