The alternative hypothesis for the one-way analysis of variance states that:
A)some of the means are statistically significant, but others are not.
B)only one mean is different from all of the others.
C)there is no difference between any of the means being considered.
D)at least one of the means is different from all of the other means.

Question

Quizplus · Accepted Answer

The alternative hypothesis for the one-way analysis of variance states that at least one of the means is different from all of the other means. This is because the purpose of the analysis is to determine if there is a significant difference between the means of multiple groups. If all of the means were the same, there would be no reason to perform the analysis. Therefore, the alternative hypothesis assumes that there is a difference between at least one of the means.

The Alternative Hypothesis for the One-Way Analysis of Variance States