1. Under what circumstances is it appropriate to perform posthoc tests like Tukey's HSD on the data from an experimental study? What do posthoc tests tell us that the primary statistical analysis cannot?

1. Researchers are interested in evaluating a new teaching strategy. 10 students are given a quiz at the beginning of the semester, a quiz before fall break, a quiz after Thanksgiving break, and a quiz at the end of the semester.

1. What are the hypotheses for evaluating if the average quiz scores are different at the different time points to determine if the new teaching strategy has an effect on quiz scores?

1. Calculate df1 and df2

1. What critical F value would our calculated F test statistic need to be greater than in order to have a p-value less than 0.05?