As Director of the Employee Wellness and Productivity Program in Your

question 103

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

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Definitions:

Single-Factor

Pertaining to studies, experiments, or theories that are concerned with only one variable or aspect.

Multi-Factor

Pertains to situations, conditions, or phenomena influenced by multiple factors or variables, often used in contexts analyzing complex traits or outcomes.

Linear

Describes something arranged in or extending along a straight or nearly straight line.

Circular

Shaped like or resembling a circle, indicating something round in form or movement that typically has no beginning or end point.