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2. The following data is from a sample of a group of women and men who worked out at the gym 3 times a week per year. Their trainer then measured the amount of muscle (in percentage). Men: 21.4. 15.0. 21.9. 20.0, 30.4, 22.0, 11.5, 21.4, 28.2, 22.4 Sample variance: 29.9 Women: 13.2. 6.0. 22.0, 9.0, 14.2, 18.5, 19.2, 22.4, 15.9, 22.5 Sample variance: 32.7 a) Test the hypothesis that the average muscle percentage of women is less than men. Use the p-value method at a 90% confidence level. b) Those who have a total muscle percențtage of more than 20% are eligible to participate in a body-building competition. Test the hypothesis that the proportion of men and women who are eligible to participatê in this competition is not the same at a 4% significance level and use both methods (p-value and critical value).

2. The following data is from a sample of a group of women and men who worked out at the gym 3 times a week per year. Their trainer then measured the amount of muscle (in percentage). Men: 21.4. 15.0. 21.9. 20.0, 30.4, 22.0, 11.5, 21.4, 28.2, 22.4 Sample variance: 29.9 Women: 13.2. 6.0. 22.0, 9.0, 14.2, 18.5, 19.2, 22.4, 15.9, 22.5 Sample variance: 32.7 a) Test the hypothesis that the average muscle percentage of women is less than men. Use the p-value method at a 90% confidence level. b) Those who have a total muscle percențtage of more than 20% are eligible to participate in a body-building competition. Test the hypothesis that the proportion of men and women who are eligible to participatê in this competition is not the same at a 4% significance level and use both methods (p-value and critical value).

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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2. The following data is from a sample of a group of women and men who worked out at the gym 3 times a week per year. Their trainer then measured the amount of muscle (in percentage). Men: 21.4. 15.0. 21.9. 20.0, 30.4, 22.0, 11.5, 21.4, 28.2, 22.4 Sample variance: 29.9 Women: 13.2. 6.0. 22.0, 9.0, 14.2, 18.5, 19.2, 22.4, 15.9, 22.5 Sample variance: 32.7 a) Test the hypothesis that the average musele percentage of women is less than men. Use the p-value method at a 90% confidence level. b) Those who have a total muscle percentage of more than 20% are eligible to participate in a body-building competition. Test the hypothesis that the proportion of men and women who are eligible to participatë in this competition is not the same at a 4% significance level and use both methods (p-value and critical value).
Transcribed Image Text:2. The following data is from a sample of a group of women and men who worked out at the gym 3 times a week per year. Their trainer then measured the amount of muscle (in percentage). Men: 21.4. 15.0. 21.9. 20.0, 30.4, 22.0, 11.5, 21.4, 28.2, 22.4 Sample variance: 29.9 Women: 13.2. 6.0. 22.0, 9.0, 14.2, 18.5, 19.2, 22.4, 15.9, 22.5 Sample variance: 32.7 a) Test the hypothesis that the average musele percentage of women is less than men. Use the p-value method at a 90% confidence level. b) Those who have a total muscle percentage of more than 20% are eligible to participate in a body-building competition. Test the hypothesis that the proportion of men and women who are eligible to participatë in this competition is not the same at a 4% significance level and use both methods (p-value and critical value).
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