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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Transcribed Image 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.
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