The F-ratio for the ANOVA test is approximately 6.00. At the alpha = 0.05 level

Question

The F-ratio for the ANOVA test is approximately 6.00. At the alpha = 0.05 level of significance. Which of the following is an appropriate conclusion? A) P- value = 0.1427. Fail to reject H_0. We do not have convincing evidence that the true mean test score for people like the ones involved in this study list different under at least one of the three treatments. B) P- value = 0.1427. Reject H_0. We do not have convincing evidence that the true mean test score for people like the ones involved in this study list different under at least one of the three treatments. C) P- value = 0.0070. Reject H_0. We do not have convincing evidence that the true mean test score for people like the ones involved in this study list different under at least one of the three treatments. D) P- value = 0.0070. Reject H_0. We do not have convincing evidence that the true mean test score for people like the ones involved in this study list different under at least one of the three treatments. E) P- value = 0.0070. Fail to reject H_0. We do not have convincing evidence that the true mean test score for people like the ones involved in this study list different under at least one of the three treatments. Use the following for questions 19-20: Below are three sets of parallel box plots, labeled Set A, Set B, Set C. Each set of box plots describes the results of ransom samples of size n = 30 from the independent populations. An ANOVA F test was performed on each of sample to compare means. Assume conditions for performing the F test were met in each case. Which one of the following statement is supported by theses box plats? A) Set A has much larger within-group variation that either Set B or Set C. B) Set B has more between-group variation that Set C. C) Set C has much larger within-group variation that either Set A or Set B. D) Set B has the lowest between-group variation. E) Set A has much less between-group variation that Set C. Which of the following describes the relationship between the F-statistics for these three ANOVA tests? A) F_Set A > F_Set B > F_Set C B) F_Set A > F_Set C > F_Set B C) F_Set B > F_Set A > F_Set C D) F_Set C > F_Set B > F_Set A E) F_Set C > F_Set A > F_Set B

Explanation / Answer

18) Option D.

19) Set B has the lowest between group variation.

20) Fset C > Fset A > Fset B

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