As Director of the Employee Wellness and Productivity Program in Your

Multiple Choice

As director of the employee wellness and productivity program in your company, you are interested in comparing the effects of strength training, aerobic training, and yoga on decreasing rates of injury and absenteeism.The company has 18 divisions with roughly the same number of employees, and you randomly assign 6 divisions to participate in strength training, 6 to aerobic training, and 6 to yoga.Analysis of the data yielded the following ANOVA table. $$\begin{array} { | l | r | r | r | r | } \hline \text { Source of Variation } & { \text { SS } } &{ \text { df } } & { \text { MS } } & { \text { F } } \\\hline \text { Treatment } & 33476.19 & 2 & 16738.1 & 9.457912 \\\hline \text { Error } & 26546.18 & 15 & 1769.745 & \\\hline \text { Total } & 60022.37 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is ______.

A) reject the null hypothesis $\mu$ ₁ $\neq$$\mu$ ₂ $\neq$$\mu$ ₃
B) do not reject the null hypothesis $\mu$ ₁ $\ge$$\mu$ ₂ $\ge$ $\mu$ ₃
C) reject the null hypothesis $\mu$ ₁ = $\mu$ ₂= $\mu$ ₃
D) do not reject the null hypothesis $\mu$ ₁ $\le$ $\mu$ ₂ $\le$ $\mu$ ₃
E) inconclusive