Question

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

State the null hypothesis for a one-way ANOVA test if there are four groups.

Short answer

The null hypothesis for the four groups is given below:

$H_0:{\mu }_1={\mu }_2={\mu }_3={\mu }_4$

Where, ${\mu }_1$is the mean of the first group,${\mu }_2$is the mean of the second group,${\mu }_3$is the mean of the third group and${\mu }_4$ is the mean of the fourth.

Step-by-step solution

Step[ 1 Given Information

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

We have to state the null hypothesis for a one-way ANOVA test if there are four groups.

Explanation

The null hypothesis for a one-way ANOVA test is simply that, all the group population means are the same. The null hypothesis for the four groups is given below:

$H_0:{\mu }_1={\mu }_2={\mu }_3={\mu }_4$

Where,${\mu }_1$is the mean of the first group, ${\mu }_2$is the mean of the second group, ${\mu }_3$is the mean of the third group and ${\mu }_4$is the mean of the fourth.