Perform the Tukey Test
-A Researcher Wishes to Determine Whether $\alpha = 0.01$

Perform the Tukey Test
-A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Use $\alpha = 0.01$ . Which of the following is a correct statement about the means?

A) There is not enough evidence to suggest that the means are different.
B) The mean age of middle school teachers is different from the mean age of high school teachers.
C) The mean age of middle school teachers is different from the mean age of college teachers.
D) The mean age of high school teachers is different from the mean age of college teachers.