Perform the Tukey Test
-A Medical Researcher Wishes to Try $\alpha = 0.05$

Perform the Tukey Test
-A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with high cholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's cholesterol level is recorded. Use $\alpha = 0.05$ . Which of the following is a correct statement about the means?

A) The mean of Group 1 is not equal to mean Group 2 .
B) The mean of Group 1 is not equal to mean Group $3 .$
C) The mean of Group 2 is not equal to mean Group $3 .$
D) All of the means are not equal.