The mean BMI in patients free of diabetes has been reported as 28.2. An investigator measured BMI in 12 patients who are free of diabetes and found a mean BMI of 31.7 with a standard deviation of 5.9. The investigator hypothesizers that the BMI in patients free of diabetes is higher than what h been reported. Is there evidence that the BMI is significantly higher than 28.2? Use a 5% level of significance. You must report the null and alternative hypotheses, calculate the test statistic, and give the conclusion including a comparison to alpha or the critical value.