Two risk factors that have a bearing on the condition of the heart are fitness and cholesterol level. In a research project on this subject the amounts of unsaturated fats in the blood samples of 9...

Extracted text: Two risk factors that have a bearing on the condition of the heart are fitness and cholesterol level. In a research project on this subject the amounts of unsaturated fats in the blood samples of 9 heart patients and 21 marathon athletes were measured. The following table shows the results: Heart patients Marathon athletes 0.9038 Sample mean Sample standard deviation 1.8889 0.8917 0.9010 Let and Hz represent the population mean cholesterol levels of heart patients and marathon athletes, respectively. a) Test the hypothesis that, compared to marathon athletes, heart patients have a significantly higher population mean cholesterol level. Use a significance level of 1%. Assume normality of the underlying populations and equal population variances. b) Calculate a 99% upper confidence bound for the population difference in mean cholesterol levels and interpret it in terms of the relationship between cholesterol levels of heart patients and marathon athletes.