Question 1

Assuming degrees of freedom for each test are equal, which of the following ANOVA will have the smallest p-value?

Group of answer choices

SS_treatment = 1.543; SS_error = 0.456

SS_treatment = 1.543; SS_error = 3.245

SS_treatment = 3.245; SS_error = 1.543

SS_treatment = 3.245; SS_error = 0.456

Question 2

You are interested in whether marathon finishing time is affected by 3 different training regimens, and compare marathon results from individuals in these training programs by one-way ANOVA. The resulting p-value of the omnibus ANOVA is p=0.332. You _________ the null hypothesis and conclude that ________________.

Group of answer choices

fail to reject; the marathon results from at least one training regimen differs from that of at least one other training regimen

reject; the marathon results from at least one training regimen differs from that of the other two training regimens

fail to reject; only one of the training plans results in different marathon finishing times

fail to reject; the marathon results from the training plans do not differ

Question 3

You want to compare body mass index between 3 different independent groups. You collect samples (20 from each group) and run Shapiro-Wilk (p > 0.05 for all 3 groups) and Levene's test (p=0.657) on your data. Is a one-way ANOVA an appropriate next step?

Group of answer choices

Yes

No