When using the analysis of variance technique, the hypothesis of equality of population means will be rejected if
A) the variance within groups is significantly greater than the variance between groups.
B) the variance between groups is significantly greater than the variance within groups.
C) the total variance is significantly greater than the variance within groups.
D) the total variance is significantly greater than the variance between groups.
E) the total variance is significantly greater than either the variance between groups or the variance within groups.

Question

Quizplus · Accepted Answer

The fundamental principle of the analysis of variance (ANOVA) technique is to compare the variance (variability) between groups to the variance within groups. If the variance between groups is significantly greater than the variance within groups, it suggests that the group means are not all equal, leading to the rejection of the null hypothesis of equality of population means.

When Using the Analysis of Variance Technique, the Hypothesis of Equality