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The mean body mass index (BMI) for boys of age 12 years is 23.6 kg/m2. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 kg/m2? Assume that the standard deviation in BMI is 5.7 kg/m2.

The mean body mass index (BMI) for boys of age 12 years is 23.6 kg/m2. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 kg/m2? Assume that the standard deviation in BMI is 5.7 kg/m2.

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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  1. The mean body mass index (BMI) for boys of age 12 years is 23.6 kg/m2. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 kg/m2? Assume that the standard deviation in BMI is 5.7 kg/m2.

2. An investigator wants to design a study to estimate the difference in the mean BMI between 12-year-old boys and girls living in New York City. How many boys and girls are needed to ensure that a 95% confidence interval estimate for the difference in mean BMI between boys and girls has a margin of error not exceeding 2 kg/m2? Use the estimate of the variability in BMI from Problem 7.

 

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