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33 33 54 5 33 50 - 59 Is a weight loss program based on exercise less effective than a program based on diet? The

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33 33 54 5 33 50 - 59 Is a weight loss program based on exercise less effective than a program based on diet? The 42 overweight people put on a strict one year exercise program lost an average of 40 pounds with a standard deviation of 8 pounds. The 41 overweight people put on a strict one year diet lost an average of 42 pounds with a standard deviation of 5 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 | Select an answer |Select an answer v )(please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic | ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? vo f. Based on this, we should |Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at o = 0.10, so there is sufficient evidence to conclude that the mean weight loss for the 42 participants on the exercise program is less than the mean weight loss for the 41 participants on the diet. O The results are statistically insignificant at o = 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. O The results are statistically significant at or = 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. O The results are statistically insignificant at o = 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 or = 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 42 participants on the exercise program is the same as the sample mean weight loss for the 41 participants on the diet and if another 42 participants on the exercise program and 41 participants on the diet are weighed then there would be a 8.77% chance of concluding that the mean weight loss for the 42 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 41 participants on the diet If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 42 and 41 participants on the exercise program and on the diet are observed then there would be a 8.77% chance that the mean weight loss for the 42 participants on the exercise program would be at least 2 pounds less than the mean weight loss for the 41 participants on the diet. There is a 8.77% chance of a Type | error. There is a 8.77% chance that the mean weight loss for the 42 participants on the exercise program is at least 2 pounds less than the mean weight loss for the 41 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 If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 42 and 41 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 42 and 41 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 42 and 41 participants differ from each other. O There is a 10% chance that you are such a beautiful person that you never have to worry about your weight

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