PROBLEM 2: A researcher compared the effectiveness of four memory enhancement programs. She tested students on a memory test. For each condition, she tested five students (n=5). The results are summarized below: Memory Enhancement Programs ME1 ME2 ME3 ME4 T1=15 T2=30 T3=15 T4=0 SST =170 SS1=20 SS2=18 SS 3=21 5$ 4-21 A.) (37 points) Perform a complete hypothesis test, "by hand", with a two-tailed a=.01, to determine if there were any reliable differences between the groups. Note: To receive full credit, use SST only to check SSB and SSW (that is, don't use it to calculate either one of these SSs - use the definitional formula to calculate SSB). B.) (4 points) Are the results sufficient to show that program 2 is better than program 1? Why, or why not? C.) (4 points) If you had done a t-test, instead of an ANOV A, what would be the value of the t- statistic, and the di associated with it? Base your answer on the value of the F-statistic and its dis that you calculated for part A. Do NOT perform a t-test