Situation You are conducting a study on the effects of bio-behavioral interventions to pain level of patients who had appendectomy. You have 75 patients randomly allocated to the three interventions. You measured the intensity of their post-operative pain using FACES scale, 1 as the lowest pain level and 10 as the highest pain level. 1 Adapted from: Sheila R. Bonito, MA (Nursing), DrPH (Epid) FMDS, UPOU Deep-breathing exercise Progressive muscle relaxation Suggestive hypnosis 8 10 6 6 10 7 7 8 8 9 9 7 8 9 7 8 9 6 7 8 5 6 10 6 5 9 8 6 6 7 7 10 7 8 9 4 10 10 5 8 10 6 9 9 6 6 8 7 8 8 6 7 8 5 9 9 8 8 8 4 7 10 5 6 10 6 8 8 7 10 9 6 7 9 5Questions 1. What do you think is the research objective of the above study? (10 points) 2. What should be the sampling criteria (inclusion and exclusion) for the study? Justify your answer (5 points) 3. What sampling design/ technique should be utilized in the study? Justify your answer. (10 points) 4. Conduct a hypothesis testing if you were comparing deep breathing exercise and progressive muscle relaxation. Show the step-by-step process of hypothesis testing: (30 points) Null and alternative hypotheses Level of significance Test-statistic Critical region Computation of test statistic and p value Decision Conclusion 5. Conduct a hypothesis testing if you were comparing the three interventions altogether: deep breathing exercise, progressive muscle relaxation, suggestive hypnosis. Show the step-by-step process of hypothesis testing (30 points) Null and alternative hypotheses Level of significance Test-statistic Critical region Computation of test statistic and p value Decision Conclusion 6. Make an ANOVA summary table for comparing the three interventions (deep breathing exercise, progressive muscle relaxation, suggestive hypnosis) (10 points). Interpret the summary table (5 points).