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Is a weight loss program based on exercise less effective than a program based on diet? The 45 overweight people put on a strict one year exercise program lost an average of 25 pounds with a standard deviation of 9 pounds. The 45 overweight people put on a strict one year diet lost an average of 30 pounds with a standard deviation of 6 pounds. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁ Select an answer c. The test statistic | d. The p-value= Select an answer Select an answer ▪ Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

Is a weight loss program based on exercise less effective than a program based on diet? The 45 overweight people put on a strict one year exercise program lost an average of 25 pounds with a standard deviation of 9 pounds. The 45 overweight people put on a strict one year diet lost an average of 30 pounds with a standard deviation of 6 pounds. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁ Select an answer c. The test statistic | d. The p-value= Select an answer Select an answer ▪ Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

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 45 overweight people put on a strict one year exercise program lost an average of 25 pounds with a standard deviation of 9 pounds. The 45 overweight people put on a strict one year diet lost an average of 30 pounds with a standard deviation of 6 pounds. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer Select an answer (please enter a decimal) Select an answer (Please enter a decimal) c. The test statistic?v= d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean weight loss for the 45 participants on the exercise program is less than the mean weight loss for the 45 participants on the diet. O The results are statistically insignificant at = 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. O 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. O The results are statistically significant at x = 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. O If the sample mean weight loss for the 45 participants on the exercise program is the same as the sample mean weight loss for the 45 participants on the diet and if another 45 participants on the exercise program and 45 participants on the diet are weighed then there would be a 0.13% chance of concluding that the mean weight loss for the 45 participants on the exercise program is at least 5 pounds less than the mean weight loss for the 45 participants on the diet O There is a 0.13% chance of a Type I error. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 0.13% chance that the mean weight loss for the 45 participants on the exercise program would be at least 5 pounds less than the mean weight loss for the 45 participants on the diet. O There is a 0.13% chance that the mean weight loss for the 45 participants on the exercise program is at least 5 pounds less than the mean weight loss for the 45 participants on the diet. i. Interpret the level of significance in the context of the study. O There is a 10% chance that there is a difference in the population mean weight loss between those on the exercise program and those on the diet. O There is a 10% chance that you are such a beautiful person that you never have to worry about your weight. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 10% chance that we would end up falsely concluding that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 10% chance that we would end up falsely concluding that the sample mean weight loss for these 45 and 45 participants differ from each other.
Transcribed Image Text:Is a weight loss program based on exercise less effective than a program based on diet? The 45 overweight people put on a strict one year exercise program lost an average of 25 pounds with a standard deviation of 9 pounds. The 45 overweight people put on a strict one year diet lost an average of 30 pounds with a standard deviation of 6 pounds. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer Select an answer (please enter a decimal) Select an answer (Please enter a decimal) c. The test statistic?v= d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean weight loss for the 45 participants on the exercise program is less than the mean weight loss for the 45 participants on the diet. O The results are statistically insignificant at = 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. O 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. O The results are statistically significant at x = 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. O If the sample mean weight loss for the 45 participants on the exercise program is the same as the sample mean weight loss for the 45 participants on the diet and if another 45 participants on the exercise program and 45 participants on the diet are weighed then there would be a 0.13% chance of concluding that the mean weight loss for the 45 participants on the exercise program is at least 5 pounds less than the mean weight loss for the 45 participants on the diet O There is a 0.13% chance of a Type I error. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 0.13% chance that the mean weight loss for the 45 participants on the exercise program would be at least 5 pounds less than the mean weight loss for the 45 participants on the diet. O There is a 0.13% chance that the mean weight loss for the 45 participants on the exercise program is at least 5 pounds less than the mean weight loss for the 45 participants on the diet. i. Interpret the level of significance in the context of the study. O There is a 10% chance that there is a difference in the population mean weight loss between those on the exercise program and those on the diet. O There is a 10% chance that you are such a beautiful person that you never have to worry about your weight. O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 10% chance that we would end up falsely concluding that the population mean weight loss on the exercise program is less than the population mean weight loss on the diet O If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 45 and 45 participants on the exercise program and on the diet are observed then there would be a 10% chance that we would end up falsely concluding that the sample mean weight loss for these 45 and 45 participants differ from each other.
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