For a one-way analysis of variance, if the null hypothesis is true, then:
A)the analysis of variance will never produce a significant F ratio
B)estimates of the population variance will be easier to calculate
C)the variance between sample means will be significantly larger than the variance within each sample
D)any difference among sample means reflects variance within the populations

Question

Quizplus · Accepted Answer

When the null hypothesis is true in a one-way analysis of variance (ANOVA), it implies that there are no significant differences among the group means being compared. Therefore, any observed differences among sample means are attributed to random variance within the populations, not to actual differences between the populations. This is because the null hypothesis posits that all group means are equal, or in other words, any group differences are due to chance.

For a One-Way Analysis of Variance, If the Null Hypothesis