Hypothesis testing question ( Show working of the calculation and explanation) 3. The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and are participating in a study of risk factors for obesity. Body mass index is measured as the ratio of weight in kilograms to height in meters squared. 25 27 31 33 26 28 38 41 24 32 35 40 The mean body mass index (BMI) in patients free of diabetes was reported as 28.2 kg/m2 . The investigator conducting the study hypothesizes that the BMI in patients free of diabetes is higher. Based on the data, is there evidence that the BMI is significantly higher than 28.2 kg/m2? Use a 5% level of significance. a) Create null and research hypotheses. State your alpha. b) Select and share the appropriate test statistic formula. c) Determine the relevant critical value and set up your decision rule. d) Compute the test statistic. e) State your conclusion