Question

Which of the following is NOT true when using​ one-way analysis of variance for testing equality of three or more population​ means? Choose the correct answer below. A. The conclusion that there is sufficient evidence to reject the claim of equal population means does not indicate a particular mean is different from the others. B. Small F test statistics indicate that the decision is to reject the null hypothesis of equal means. C. Small​ P-values indicate that the decision is to reject the null hypothesis of equal means. D. The numerator of the F test statistic measures variation between sample means.

Answer 1

Small F test statistics indicate that the decision is to reject the null hypothesis of equal means.

Explanation:

In Anova tests or regression analysis, in cases where we have equal variances, the ratio is expected to be 1. However, the population variance is tested to be equal in the course of running a small F-test. The small F-test statistics is that value obtained when a regression analysis or ANOVA test is ran in order to determine where the mean of two separate populations are different to a significant extent. Hence F-tests do not indicate decision to reject null hypothesis of equal means.