In a one-way analysis of variance,if the null hypothesis is true,then
A)the analysis of variance can never produce a significant F ratio.
B)estimates of the population variance will be easier to figure.
C)the variance between sample means will be 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, it implies that all group means are equal in the population. Therefore, any observed differences among sample means are due to random sampling error or variance within the populations, not because of actual differences between the group means.

In a One-Way Analysis of Variance,if the Null Hypothesis Is