One-way analysis of variance is being used to test the equality of three population means using samples of size 8 from the first population, 11 from the second population and 7 from the third population.The test statistic (F_stat) is 2.712.The significance level is set at 5%.Report your conclusion. A)Since the test statistic (F_stat) is greater than the critical value (F_c) for the test, we reject the "no difference" null hypothesis. B)Since the test statistic (F_stat) is less than the critical value (F_c) for the test, we cannot reject the "no difference" null hypothesis. C)Since the test statistic (F_stat) is greater than the critical value (F_c) for the test, we cannot reject the "no difference" null hypothesis. D)Since the test statistic (F_stat) is less than the critical value (F_c) for the test, we reject the "no difference" null hypothesis.

Question

Quizplus · Accepted Answer

The decision to reject or not reject the null hypothesis in an ANOVA test depends on whether the test statistic exceeds the critical value at the given significance level. Without the exact critical value provided, we cannot definitively choose A or C. However, the statement in B correctly reflects the general approach to hypothesis testing: if the test statistic is less than the critical value, we do not have sufficient evidence to reject the null hypothesis, which posits no difference among the means.

One-Way Analysis of Variance Is Being Used to Test the Equality