Nutritional researchers conducted an investigation of high fiber diets intended to reduce serum cholesterol level. Twenty men with high serum cholesterol were randomly allocated to receive an "oat" diet (treatment 1) or a placebo (treatment 2) for 21 days. The following table summarizes the decrease (before – after) in serum cholesterol levels. Diet sample size (n) sample mean Oat Placebo 10 10 53.6 14.2 sample standard deviation (s) 31.1 29.5 (a) Construct a 95% confidence interval for the difference of the mean decreases in serum cholesterol levels from the men taking the two diets. Assume normal populations and population variances are equal. (b) Based on the confidence interval in (a), can we conclude that high fiber diets help to reduce serum cholesterol level? Why?

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