A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming s=10.7 based on earlier​ studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size​ required?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within

4

points with

99%

confidence assuming

s=10.7

based on earlier​ studies? Suppose the doctor would be content with

95%

confidence. How does the decrease in confidence affect the sample size​ required?

Expert Solution
Step 1

Given,Margin of error(E)=4Standard deviation(S)=10.7α=1-0.99=0.01α2=0.005Z0.005=2.576

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