In an analysis of variance, if the null hypothesis is true, then:
A)the research hypothesis is also true
B)you will need fewer participants for the experiment
C)there is less variance among the sample means than if the null hypothesis was not true
D)the within-group estimate of population variance is smaller than the between-group estimate

Question

Quizplus · Accepted Answer

If the null hypothesis is true, it means that there is no significant difference among the groups being compared, and thus there should be less variance among the sample means. If the null hypothesis was not true, there would be more variance among the sample means. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not hold true in this scenario.

In an Analysis of Variance, If the Null Hypothesis Is