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(Solved): andard deviation of 7 pounds. What can be concluded at the =0.10 level of significance? a. For th ...



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andard deviation of 7 pounds. What can be concluded at the level of significance? a. For this study, we should us b. The null and alternative hypotheses would be: (please enter a decimal) (Please enter a decimal) c. The test statistic (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 f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that ... The results are statistically insignificant at , so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. The results are statistically significant at , so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. The results are statistically significant at , so there is sufficient evidence to conclude that the mean weight loss for the 49 participants on the exercise program is different than the mean weight loss for the 44 participants on the diet. The results are statistically insignificant at , 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. h. Interpret the p-value in the context of the study. There is a chance of a Type I error. If the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet and if another 49 and 44 participants on the exercise program and on the diet are observed then there would be a chance that the mean weight loss for the 49 participants on the exercise program would differ by at least 3 pounds compared to the mean weight loss for the 44 participants on the diet. If the sample mean weight loss for the 49 participants on the exercise program is the same as the sample mean weight loss for the 44 participants on the diet and if another 49 participants on the exercise program and 44 participants on the diet are weighed then there would be a chance of concluding that the mean weight loss for the 49 participants on the exercise program differs by at least 3 pounds compared to the mean weight loss for the 44 participants on the diet There is a chance that the mean weight loss for the 49 participants on the exercise program differs by at least 3 pounds compared to the mean weight loss for the 44 participants on the diet.


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To analyze the effectiveness of the weight loss programs based on exercise and diet, we can perform a hypothesis test. Let's define our hypotheses and calculate the test statistic and p-value.
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