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A 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6. One of your classmates interprets this interval in the following way: "We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4." Is your classmate's interpretation correct? If not, what is the correct interpretation of the confidence interval? Correct. This interpretation correctly refers to the parameter (all young women). Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the true mean BMI of all young American women. Incorrect. If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples. Incorrect. The mean BMI of young American women cannot be 28. Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI for every young American woman.

A 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6. One of your classmates interprets this interval in the following way: "We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4." Is your classmate's interpretation correct? If not, what is the correct interpretation of the confidence interval? Correct. This interpretation correctly refers to the parameter (all young women). Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the true mean BMI of all young American women. Incorrect. If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples. Incorrect. The mean BMI of young American women cannot be 28. Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI for every young American woman.

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 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6. One of your classmates interprets this interval in the following way: "We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4." Is your classmate's interpretation correct? If not, what is the correct interpretation of the confidence interval? Correct. This interpretation correctly refers to the parameter (all young women). Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the true mean BMI of all young American women. Incorrect. If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples. Incorrect. The mean BMI of young American women cannot be 28. Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI for every young American woman.
Transcribed Image Text:A 95% confidence interval for the mean body mass index (BMI) of young American women is 26.8 ± 0.6. One of your classmates interprets this interval in the following way: "We are 95% confident that future samples of young women will have mean BMI between 26.2 and 27.4." Is your classmate's interpretation correct? If not, what is the correct interpretation of the confidence interval? Correct. This interpretation correctly refers to the parameter (all young women). Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the true mean BMI of all young American women. Incorrect. If we take many samples, the population mean BMI will be between 26.2 and 27.4 in about 95% of those samples. Incorrect. The mean BMI of young American women cannot be 28. Incorrect. We are 95% confident that the interval from 26.2 and 27.4 captures the BMI for every young American woman.
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