Data on Three Treatment Levels Are Shown in the Following $\alpha$

question 31

Multiple Choice

Data on three treatment levels are shown in the following table: For a one-way ANOVA using $\alpha$ = 0.05, the appropriate decision is ___.

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

---

Definitions:

Fairness of Rewards

The perceived equity and justice of the distribution of outcomes and rewards among individuals or groups, influencing their satisfaction and motivation.

Perceived Inequity

The feeling of being unfairly treated when comparing one's own effort-reward ratio to the effort-reward ratio of others.

Equity of Fairness

A principle of justice that emphasizes fair treatment and equal opportunities for all individuals.

Work Ethic

The principle that hard work is intrinsically virtuous or worthy, often reflected in a person's attitudes toward their job.