Application Exercise A team of researchers recruited a random sample of migraine sufferers. Before the study began at baseline, participants were asked to record the duration of headaches theyr experienced in a week. A few clays later, all participants were asked to practice a week-long relaxation technique designed to reduce migraine headaches. A three-week off period in which the participants practiced nothing was given between the relaxation technique. Throughout the relaxation technique participants were asked to record the duration of headaches. What can be concluded with an a of 0.01.7 baseline week 1 week 4 9 9 B 12 7 9 l 1 6 6 8 6 4 12 9 7 7 5 4 l 1 6 6 7 5 5 ll] 9 B a) What is the appropriate test statistic? Seled V b) Obtainfcompute the appropriate values to make a decision about Hg. Critical Value : |:| ; Test Statistic : :| Decision: :2} Compute the corresponding effect size{s]| and indicate magnitude{s}. Effect Size = |:|; Magnitude: d} Make an interpretation based on the results. '3' At least one week differs on the headache duraijon. 0 None of the weeks differed on headache duration. e} Regardless of the H0 decision in h), conduct Tukev's post hoc test for the following comparisons: ; vs. 3: difference = ,: signicant: ; vs. 3: difference = ; signicant: f} Regardless of the H0 decision in b}, conduct Scheffe's post hoc test for the following comparisons: ; vs. 3: test statistic = ; signicant: 2 vs. a: test statistic = ; signicant