Question

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

State the alternative hypothesis for a one-way ANOVA test if there are three groups .

Short answer

The Alternate hypothesis for a one-way ANOVA test is simply that, at least one pair of means is different.

Step-by-step solution

Given Information

Five basic assumptions must be fulfilled to perform a one-way ANOVA test.

We have to state the alternative hypothesis for a one-way ANOVA test if there are three groups

Explanation

The Alternate hypothesis for a one-way ANOVA test is simply that, at least one pair of means is different. The alternate hypothesis for the three groups is given below:

$H_1$: At least two of the group means${\mu }_1,{\mu }_2$and ${\mu }_3$are not equal

Where,${\mu }_1$is the mean of the first group, ${\mu }_2$is the mean of the second group, and ${\mu }_3$is the mean of the third group.