What does a significant F-test tell us about the means of the J groups? In the case where we find a significant F value, what is the next step to understanding the pattern of means in the data? In the case where we find a non- significant F value, how can we explain the observed differences between the means? If we had more than J=2 groups and we used a t-test to compare the largest and smallest means and we use alpha = .05 for the t-test, will the probability of a Type-I error be larger or smaller than .05? What is the advantage of using multiple comparison techniques like Tukey over multiple (uncontrolled) t-tests? If you have J = 8, what is the maximum number of possible pairwise comparisons you can make? The data below yielded a significant F value: Group 1 Group 2 Group 3 Means 2.83 6.57 15.71 n = 6 7 7 MS (within) = 19.76 Use the Studentized range statistic test (Q-test) for differences between the means. State each hypothesis you are testing, show your computations and state your decisions based on each hypothesis. (Assume alpha = .05) Also, state your conclusions in words or symbols