A study shows that men are most likely to say that they feel “fit” if their overall body fat percentage is less than 17%. A 95% confidence interval is given below for µ, the mean body fat percentage of men of various ages. Use the interval to determine the conclusion (reject or fail to reject the null hypothesis) to a hypothesis test of H0: µ = 17 vs Ha: µ < 17.For men in their 20’s, the 95% confidence interval was 11.68 to 16.78.For men in their 30’s, the 95% confidence interval was 15.14 to 20.03.

Answered: A study shows that men are most likely…

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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Question

A study shows that men are most likely to say that they feel “fit” if their overall body fat percentage is less than 17%. A 95% confidence interval is given below for µ, the mean body fat percentage of men of various ages. Use the interval to determine the conclusion (reject or fail to reject the null hypothesis) to a hypothesis test of H₀: µ = 17 vs H_a: µ < 17.
For men in their 20’s, the 95% confidence interval was 11.68 to 16.78.
For men in their 30’s, the 95% confidence interval was 15.14 to 20.03.

Expert Solution

Step 1

Confidence interval give a range of values for the unknown parameter of the population. The width of confidence interval increases with increase in confidence level.

Statistical hypothesis testing is an important method in inferential statistics. It is used to test the hypothesis about the population parameters.