A Diet Centre Wants to Test Three Different Methods for Losing

Essay

A diet centre wants to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are given below. Assuming that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let $\alpha =0.05$
$\begin{array}{lll}\text { Liquid Diet } & \text { Low-Calorie Diet } & \text { Low-Calorie Diet \& Exercise } \\5 & 3 & 3 \\2 & 2 & 3 \\1 & 2 & 4 \\2 & 3 & 5 \\3 & 4 & 3 \\4 & 1 & 4\end{array}$