8. The following data were collected in a clinical trial to compare a new drug to a placebo for its effectiveness in lowering total serum cholesterol. New Drug (n=75) 182.0 (24.5) 78.0% Placebo (n=75) 206.3 (21.8) 65.0% Total Sample Mean (SD) Total Serum Cholesterol |% Patients with Total Cholesterol < 200 (n=150) 194.15 (23.2) 71.5% a) Generate the 95% confidence interval for the difference in mean total cholesterol levels between treatments

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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8. The following data were collected in a clinical trial to compare a new drug to a placebo for its effectiveness
in lowering total serum cholesterol.
New Drug
(n=75)
182.0 (24.5)
Placebo
(n=75)
206.3 (21.8)
Total Sample
(n=150)
194.15 (23.2)
Mean (SD) Total Serum Cholesterol
% Patients with Total Cholesterol < 200
78.0%
65.0%
71.5%
a) Generate the 95% confidence interval for the difference in mean total cholesterol levels between
treatments
b) Generate a 95% confidence interval for the difference in proportions of all patients with total
cholesterol < 200.
c) How many patients would be required to detect the difference in proportions observed in the current
study with 80% power. A new investigation will be enrolling subjects to demonstrate the efficacy of
the drug in individuals with high cholesterol at an early age. A two-sided test is planned at a = 0.05
Transcribed Image Text:8. The following data were collected in a clinical trial to compare a new drug to a placebo for its effectiveness in lowering total serum cholesterol. New Drug (n=75) 182.0 (24.5) Placebo (n=75) 206.3 (21.8) Total Sample (n=150) 194.15 (23.2) Mean (SD) Total Serum Cholesterol % Patients with Total Cholesterol < 200 78.0% 65.0% 71.5% a) Generate the 95% confidence interval for the difference in mean total cholesterol levels between treatments b) Generate a 95% confidence interval for the difference in proportions of all patients with total cholesterol < 200. c) How many patients would be required to detect the difference in proportions observed in the current study with 80% power. A new investigation will be enrolling subjects to demonstrate the efficacy of the drug in individuals with high cholesterol at an early age. A two-sided test is planned at a = 0.05
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