In an analysis of variance, if the null hypothesis is rejected then:
A)the variation between sample means reflects the variation within the populations and the variation between the population means
B)the within-group variance is significantly larger than the between-group variance
C)the variance within each sample is larger than if the null hypothesis were true
D)the variance between sample means is no greater than the variance within the population with the largest variance

Question

Quizplus · Accepted Answer

If the null hypothesis is rejected in an analysis of variance, it means that there is statistically significant variation between the sample means. This variation may reflect not only differences between the population means, but also differences within the populations. Therefore, choice A is the best answer.

In an Analysis of Variance, If the Null Hypothesis Is