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Jillian Michaels and Bob Harper are all- time famous American trainers. Michaels thinks that her clients lose more weight on average than the clients of Harper. Harper naturally disagrees with Michaels. In order to settle the dispute, the two trainers agree to each work with 15 different clients for six months. The table below summarizes the weight loss (Ibs) of each group: J. Michaels Harper Mean 25 21 SD 5.1 2.5 Size 15 15 1. Assume normality in the population distribution, construct a 90% confidence interval for the population difference of the mean weight loss using the critical value of 1.76 (Note: all values are given, no R codes needed) 2. What does it mean to be at "90% confident"? Would the 95% confidence interval be wider or narrower? Would the margin of error be wider or narrower? (Note: no calculation is needed) 3. According to the confidence interval you found in part (a), what can be concluded about Michaels' claim? (Note: you do NOT need to do the 5-step significance test here, just answer the B.

Jillian Michaels and Bob Harper are all- time famous American trainers. Michaels thinks that her clients lose more weight on average than the clients of Harper. Harper naturally disagrees with Michaels. In order to settle the dispute, the two trainers agree to each work with 15 different clients for six months. The table below summarizes the weight loss (Ibs) of each group: J. Michaels Harper Mean 25 21 SD 5.1 2.5 Size 15 15 1. Assume normality in the population distribution, construct a 90% confidence interval for the population difference of the mean weight loss using the critical value of 1.76 (Note: all values are given, no R codes needed) 2. What does it mean to be at "90% confident"? Would the 95% confidence interval be wider or narrower? Would the margin of error be wider or narrower? (Note: no calculation is needed) 3. According to the confidence interval you found in part (a), what can be concluded about Michaels' claim? (Note: you do NOT need to do the 5-step significance test here, just answer the B.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.6: Exponential Equations, Logarithmic Equations, And Problem Solving
Problem 63PS
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Jillian Michaels and Bob Harper are all- time famous American trainers. Michaels thinks that her clients lose more weight on average than the clients of Harper. Harper naturally disagrees with Michaels. In order to settle the dispute, the two trainers agree to each work with 15 different clients for six months. The table below summarizes the weight loss (Ibs) of each group: J. В. Michaels Harper Mean 25 21 SD 5.1 2.5 Size 15 15 1. Assume normality in the population distribution, construct a 90% confidence interval for the population difference of the mean weight loss using the critical value of 1.76 (Note: all values are given, no R codes needed) 2. What does it mean to be at "90% confident"? Would the 95% confidence interval be wider or narrower? Would the margin of error be wider or narrower? (Note: no calculation is needed) 3. According to the confidence interval you found in part (a), what can be concluded about Michaels' claim? (Note: you do NOT need to do the 5-step significance test here, just answer the question and explain in a sentence)
Transcribed Image Text:Jillian Michaels and Bob Harper are all- time famous American trainers. Michaels thinks that her clients lose more weight on average than the clients of Harper. Harper naturally disagrees with Michaels. In order to settle the dispute, the two trainers agree to each work with 15 different clients for six months. The table below summarizes the weight loss (Ibs) of each group: J. В. Michaels Harper Mean 25 21 SD 5.1 2.5 Size 15 15 1. Assume normality in the population distribution, construct a 90% confidence interval for the population difference of the mean weight loss using the critical value of 1.76 (Note: all values are given, no R codes needed) 2. What does it mean to be at "90% confident"? Would the 95% confidence interval be wider or narrower? Would the margin of error be wider or narrower? (Note: no calculation is needed) 3. According to the confidence interval you found in part (a), what can be concluded about Michaels' claim? (Note: you do NOT need to do the 5-step significance test here, just answer the question and explain in a sentence)
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