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 (ī) sample standard deviation (s) Oat Placebo 10 10 53.6 14.2 31.1 29.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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3. 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 (7) sample standard deviation (s)
Oat
Placebo
10
10
53.6
14.2
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?
Transcribed Image Text:3. 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 (7) sample standard deviation (s) Oat Placebo 10 10 53.6 14.2 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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