Question

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 9 divisions with roughly the same number of employees, and you randomly assign 3 divisions to participate in strength training, 3 to aerobic training, and 3 to yoga. Your alternative hypothesis is

Answer 1

Answer:

$\mu_1 \neq \mu_2 \neq \mu_3$

Where $\mu_1$ is the average effect of strength training

$\mu_2$ is the average effect of aerobic training

$\mu_3$ is the average effect of yoga

Step-by-step explanation:

The aim of this study is to confirm whether the strength training, aerobic training, and yoga have equal effect on the decreasing rates of injury and absenteeism or not. The null hypothesis suggests that these three training have equal effect on the decreasing rates of injury and absenteeism because according to the null hypothesis, there is no statistical difference between observed variables.

The alternative hypothesis on the other hand suggests a statistical difference between the observed variables. In this case, the alternative hypothesis suggests that the observed variables have different effects on the decreasing rates of injury and absenteeism.

My alternative hypothesis as the director of the employee wellness and productivity program is $\mu_1 \neq \mu_2 \neq \mu_3$

Where $\mu_1$ is the average effect of strength training

$\mu_2$ is the average effect of aerobic training

$\mu_3$ is the average effect of yoga