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weight loss program based on exercise less effective than a program based on diet? The 54 overweight people put on a strict one year exercise program lost an average of 27 pounds with a standard deviation of 5 pounds. The 47 overweight people put on a strict one year diet lost an average of 29 pounds with a standard deviation of 6 pounds. What can be concluded at the αα = 0.10 level of significance?

weight loss program based on exercise less effective than a program based on diet? The 54 overweight people put on a strict one year exercise program lost an average of 27 pounds with a standard deviation of 5 pounds. The 47 overweight people put on a strict one year diet lost an average of 29 pounds with a standard deviation of 6 pounds. What can be concluded at the αα = 0.10 level of significance?

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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Is a weight loss program based on exercise less effective than a program based on diet? The 54 overweight people put on a strict one year exercise program lost an average of 27 pounds with a standard deviation of 5 pounds. The 47 overweight people put on a strict one year diet lost an average of 29 pounds with a standard deviation of 6 pounds. What can be concluded at the αα = 0.10 level of significance?

 

The Pvalue is = ?

f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean weight loss for the 54 participants on the exercise program is less than the mean weight loss for the 47 participants on the diet. The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. h. Interpret the p-value in the context of the study. If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 54 and 47 participants on the exercise program and on the diet are observed then there would be a 3.73% chance that the mean weight loss for the 54 participants on the exercise program would be at least 2 pounds less than the mean weight loss for the 47 participants on the diet. There is a 3.73% chance of a Type I error. There is a 3.73% chance that the mean weight loss for the 54 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 47 participants on the diet. O If the sample mean weight loss the 54 participants on the exercise program is the same as the sample mean weight loss for the 47 participants on the diet and if another 54 participants on the exercise program and 47 participants on the diet are weighed then there would be a 3.73% chance of concluding that the mean weight loss for the 54 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 47 participants on the diet
Transcribed Image Text:f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean weight loss for the 54 participants on the exercise program is less than the mean weight loss for the 47 participants on the diet. The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet. h. Interpret the p-value in the context of the study. If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 54 and 47 participants on the exercise program and on the diet are observed then there would be a 3.73% chance that the mean weight loss for the 54 participants on the exercise program would be at least 2 pounds less than the mean weight loss for the 47 participants on the diet. There is a 3.73% chance of a Type I error. There is a 3.73% chance that the mean weight loss for the 54 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 47 participants on the diet. O If the sample mean weight loss the 54 participants on the exercise program is the same as the sample mean weight loss for the 47 participants on the diet and if another 54 participants on the exercise program and 47 participants on the diet are weighed then there would be a 3.73% chance of concluding that the mean weight loss for the 54 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 47 participants on the diet
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