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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 3 points with 99% confidence assuming s= 14.5 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. A 99% confidence level requires 155 subjects. (Round up to the nearest subject.) A 90% confidence level requires subjects. (Round up to the nearest subject.) - X Partial Critical Value Table Critical Value, Za/2 Level of Confidence, (1-a)• 100% Area in Each Tail, 90% 95% 99% 0.05 0.025 0.005 1.645 1.96 2.575 Print Done

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 3 points with 99% confidence assuming s= 14.5 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. A 99% confidence level requires 155 subjects. (Round up to the nearest subject.) A 90% confidence level requires subjects. (Round up to the nearest subject.) - X Partial Critical Value Table Critical Value, Za/2 Level of Confidence, (1-a)• 100% Area in Each Tail, 90% 95% 99% 0.05 0.025 0.005 1.645 1.96 2.575 Print Done

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The question asks how many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence, assuming the standard deviation \( s = 14.5 \) based on earlier studies. It also poses the question of how the decrease in confidence affects the sample size required. There are two parts to the problem: 1. A 99% confidence level requires 155 subjects. (This number is to be rounded up to the nearest subject.) 2. The problem asks for the number of subjects required at a 90% confidence level. (This number should also be rounded up to the nearest subject.) The image includes a "Partial Critical Value Table" with the following details: - Level of Confidence, \((1 - \alpha) \times 100\%\): - 90% Confidence: \( \alpha/2 = 0.05 \), Critical Value (\( z_{\alpha/2} \)) = 1.645 - 95% Confidence: \(\alpha/2 = 0.025 \), Critical Value (\( z_{\alpha/2} \)) = 1.96 - 99% Confidence: \(\alpha/2 = 0.005 \), Critical Value (\( z_{\alpha/2} \)) = 2.575 The data is to be entered in an answer box for verification. This information and table illustrate how confidence levels are related to critical values in statistical analysis to determine sample sizes necessary for estimating population parameters.
Transcribed Image Text:A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The question asks how many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence, assuming the standard deviation \( s = 14.5 \) based on earlier studies. It also poses the question of how the decrease in confidence affects the sample size required. There are two parts to the problem: 1. A 99% confidence level requires 155 subjects. (This number is to be rounded up to the nearest subject.) 2. The problem asks for the number of subjects required at a 90% confidence level. (This number should also be rounded up to the nearest subject.) The image includes a "Partial Critical Value Table" with the following details: - Level of Confidence, \((1 - \alpha) \times 100\%\): - 90% Confidence: \( \alpha/2 = 0.05 \), Critical Value (\( z_{\alpha/2} \)) = 1.645 - 95% Confidence: \(\alpha/2 = 0.025 \), Critical Value (\( z_{\alpha/2} \)) = 1.96 - 99% Confidence: \(\alpha/2 = 0.005 \), Critical Value (\( z_{\alpha/2} \)) = 2.575 The data is to be entered in an answer box for verification. This information and table illustrate how confidence levels are related to critical values in statistical analysis to determine sample sizes necessary for estimating population parameters.
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