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3. Data on 134 Americans from the CDC's National Health and Nutrition Examination survey give an average BMI of 28.8 kg/m² and a sample standard deviation was 6.7 kg/m². Here you'll compute a confidence interval for mean BMI. (a) Write the formula for a 1 – a confidence interval for the mean. Identify any relevant assumptions required to use this formula. (b) Calculate a 95% confidence interval. (c) Calculate a 99% confidence interval. (d) Interpret each interval. (e) Comment on what happens to the interval width when the confidence coefficient is in- creased from 95% to 99%. Can you think of any intuitive explanation for the change in width? (f) Suppose that BMI measurements were collected from a sample of 150 Canadian adults, and that the sample mean was 23.2 kg/m² and the sample standard deviation was 4.3 kg/m2. Compute and interpret a confidence interval for the difference between the BMI of American and Canadian adults.

3. Data on 134 Americans from the CDC's National Health and Nutrition Examination survey give an average BMI of 28.8 kg/m² and a sample standard deviation was 6.7 kg/m². Here you'll compute a confidence interval for mean BMI. (a) Write the formula for a 1 – a confidence interval for the mean. Identify any relevant assumptions required to use this formula. (b) Calculate a 95% confidence interval. (c) Calculate a 99% confidence interval. (d) Interpret each interval. (e) Comment on what happens to the interval width when the confidence coefficient is in- creased from 95% to 99%. Can you think of any intuitive explanation for the change in width? (f) Suppose that BMI measurements were collected from a sample of 150 Canadian adults, and that the sample mean was 23.2 kg/m² and the sample standard deviation was 4.3 kg/m2. Compute and interpret a confidence interval for the difference between the BMI of American and Canadian adults.

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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3. Data on 134 Americans from the CDC's National Health and Nutrition Examination survey give an average BMI of 28.8 kg/m² and a sample standard deviation was 6.7 kg/m². Here you'll compute a confidence interval for mean BMI. (a) Write the formula for a 1 assumptions required to use this formula. - a confidence interval for the mean. Identify any relevant (b) Calculate a 95% confidence interval. (c) Calculate a 99% confidence interval. (d) Interpret each interval. (e) Comment on what happens to the interval width when the confidence coefficient is in- creased from 95% to 99%. Can you think of any intuitive explanation for the change in width? (f) Suppose that BMI measurements were collected from a sample of 150 Canadian adults, and that the sample mean was 23.2 kg/m² and the sample standard deviation was 4.3 kg/m2. Compute and interpret a confidence interval for the difference between the BMI of American and Canadian adults.
Transcribed Image Text:3. Data on 134 Americans from the CDC's National Health and Nutrition Examination survey give an average BMI of 28.8 kg/m² and a sample standard deviation was 6.7 kg/m². Here you'll compute a confidence interval for mean BMI. (a) Write the formula for a 1 assumptions required to use this formula. - a confidence interval for the mean. Identify any relevant (b) Calculate a 95% confidence interval. (c) Calculate a 99% confidence interval. (d) Interpret each interval. (e) Comment on what happens to the interval width when the confidence coefficient is in- creased from 95% to 99%. Can you think of any intuitive explanation for the change in width? (f) Suppose that BMI measurements were collected from a sample of 150 Canadian adults, and that the sample mean was 23.2 kg/m² and the sample standard deviation was 4.3 kg/m2. Compute and interpret a confidence interval for the difference between the BMI of American and Canadian adults.
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