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Lower Your Cholesterol Researchers Francisco Fuentes and
Chapter 1, Problem 22AYU(choose chapter or problem)
Lower Your Cholesterol Researchers Francisco Fuentes and his colleagues wanted to determine the most effective diet for reducing LDL cholesterol, the so-called “bad” cholesterol, among three diets: (1) a saturated-fat diet, (2) the Mediterranean diet, and (3) the U.S. National Cholesterol Education Program or NCEP-1 Diet. The participants in the study were shown to have the same levels of LDL cholesterol before the study. Participants were randomly assigned to one of the three treatment groups. Individuals in group 1 received the saturated-fat diet, which is 15% protein, 47% carbohydrates, and 38% fat (20% saturated fat, 12% monounsaturated fat, and 6% polyunsaturated fat). Individuals in group 2 received the Mediterranean diet, which is 47% carbohydrates, and 38% fat (< 10% saturated fat, 22% monounsaturated fat, and 6% polyunsaturated fat). Individuals in group 3 received the NCEP-1 Diet (< 10% saturated fat, 12% monounsaturated fat, and 6% polyunsaturated fat). After 28 days, their LDL cholesterol levels were recorded. The data in the following table are based on this study.
(a) State the null and alternative hypotheses.
(b) Verify that the requirements to use the one-way ANOVA procedure are satisfied. Normal probability plots indicate that the sample data come from normal populations.
(c) Are the mean LDL cholesterol levels different at the \(\alpha = 0.05\) level of significance?
(d) Draw boxplots of the LDL cholesterol levels for the three groups to support the analytic results obtained in part (c).
Questions & Answers
QUESTION:
Lower Your Cholesterol Researchers Francisco Fuentes and his colleagues wanted to determine the most effective diet for reducing LDL cholesterol, the so-called “bad” cholesterol, among three diets: (1) a saturated-fat diet, (2) the Mediterranean diet, and (3) the U.S. National Cholesterol Education Program or NCEP-1 Diet. The participants in the study were shown to have the same levels of LDL cholesterol before the study. Participants were randomly assigned to one of the three treatment groups. Individuals in group 1 received the saturated-fat diet, which is 15% protein, 47% carbohydrates, and 38% fat (20% saturated fat, 12% monounsaturated fat, and 6% polyunsaturated fat). Individuals in group 2 received the Mediterranean diet, which is 47% carbohydrates, and 38% fat (< 10% saturated fat, 22% monounsaturated fat, and 6% polyunsaturated fat). Individuals in group 3 received the NCEP-1 Diet (< 10% saturated fat, 12% monounsaturated fat, and 6% polyunsaturated fat). After 28 days, their LDL cholesterol levels were recorded. The data in the following table are based on this study.
(a) State the null and alternative hypotheses.
(b) Verify that the requirements to use the one-way ANOVA procedure are satisfied. Normal probability plots indicate that the sample data come from normal populations.
(c) Are the mean LDL cholesterol levels different at the \(\alpha = 0.05\) level of significance?
(d) Draw boxplots of the LDL cholesterol levels for the three groups to support the analytic results obtained in part (c).
ANSWER:Step 1 of 5
We know that from the given data on LDL levels ,after 28 days,for three different diets.
Then the difference of diets are (1) a saturated-fat diet, (2) the Mediterranean diet, and (3) the U.S. National Cholesterol Education Program or NCEP-1 Diet.