If the null hypothesis in a one-way ANOVA is true, the between-samples variation is probably __________ the within-samples variation.
A) close to
B) significantly larger than
C) significantly smaller than
D) significantly different from (more or less)

Question

Quizplus · Accepted Answer

When the null hypothesis in a one-way ANOVA is true, it suggests that there are no significant differences among the group means being compared. Therefore, the between-samples variation, which measures the differences among group means, should be close to the within-samples variation, which measures the variability within each group. This is because, under the null hypothesis, any observed differences among sample means are attributed to random sampling variability rather than actual differences in population means.

If the Null Hypothesis in a One-Way ANOVA Is True