Serum cholesterol levels were measured in a group of 24 subjects on a macrobiotic diet, aged 20-39 years. The sample mean was i = 175 mg'dL with a standard deviation of s = 35 mgde. The mean cholesterol in the general population in this age group is 230 ng'dL. :1. Assuming that the 24 subjects are representative of subjects on a macrobiotic diet, test the null hypothesis that the mean cholesterol level of subjects on a macrobiotic diet is equal to 230 rngde against the general alternative that it is not equal to 230 mgde. Give your test statistic, d.f., the critical value of your test. b. Compute a 95% condence interval for the cholesterol level