A study wants to investigate whether eating oat bran lowers the serum cholesterol levels. Fourteen individuals were randomly selected and their serum cholesterol was measured. Then, they were assigned to an oat bran diet for two weeks, and their serum cholesterol was measured at the end of that period. The differences on the serum cholesterol levels before and after the diet can be summarized below: 14 14 D; = 5.08, (D; – D)² = 2.142, D; = Cholesterol;before - Cholesterol; after, %3D %3D %3D i=1 i=1 where D; is the difference between the cholesterol level before and after the diet. Do these results provide evidence that the diet lowers the cholesterol levels? Use a 0.05 level of significance. Assume that cholesterol levels are normally distributed. Hint: S3 = ED.-Ď)² %3D 14-1
A study wants to investigate whether eating oat bran lowers the serum cholesterol levels. Fourteen individuals were randomly selected and their serum cholesterol was measured. Then, they were assigned to an oat bran diet for two weeks, and their serum cholesterol was measured at the end of that period. The differences on the serum cholesterol levels before and after the diet can be summarized below: 14 14 D; = 5.08, (D; – D)² = 2.142, D; = Cholesterol;before - Cholesterol; after, %3D %3D %3D i=1 i=1 where D; is the difference between the cholesterol level before and after the diet. Do these results provide evidence that the diet lowers the cholesterol levels? Use a 0.05 level of significance. Assume that cholesterol levels are normally distributed. Hint: S3 = ED.-Ď)² %3D 14-1
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:A study wants to investigate whether eating oat bran lowers the serum
cholesterol levels. Fourteen individuals were randomly selected and their serum
cholesterol was measured. Then, they were assigned to an oat bran diet for two weeks,
and their serum cholesterol was measured at the end of that period. The differences
on the serum cholesterol levels before and after the diet can be summarized
below:
14
14
D; = 5.08, > (D; – D)² = 2.142, D; = Cholesterol; before - Cholesterol; after,
i=1
i=1
where D; is the difference between the cholesterol level before and after the diet. Do
these results provide evidence that the diet lowers the cholesterol levels? Use a
0.05 level of significance. Assume that cholesterol levels are normally distributed.
Hint: S3 = 2 D.-D)?
14-1
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