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Gardner et al. condcted a A to Z weight loss study for Atkins, Zone, Ornish, and LEARN diets. Participants were randomly assigned. As part of the study, Atkins (consider this group 1) has 77 participants, and Zone (consider this group 2) has 79 participants. For the Atkins group, the average weight loss was 29.3 pounds with a standard deviation of 59 pounds. The Zone group has an average weight loss of 4.2 pounds and a standard deviation of 48.5 pounds. Are the two populations (Atkins and Zone) independent or dependent? Justify your answer. What is the point estimate for the difference in population means (₁-₂)? What is the standard error for this estimate? Find the critical value for creating a 95% confidence interval estimating 1-12. Using your answers for parts b, c, and d, create the 95% confidence interval by hand (do not use a. b. C. d. e. f. Based on the interval, which diet program had a higher average weight loss? Is the difference significant? Justify your answer.

Gardner et al. condcted a A to Z weight loss study for Atkins, Zone, Ornish, and LEARN diets. Participants were randomly assigned. As part of the study, Atkins (consider this group 1) has 77 participants, and Zone (consider this group 2) has 79 participants. For the Atkins group, the average weight loss was 29.3 pounds with a standard deviation of 59 pounds. The Zone group has an average weight loss of 4.2 pounds and a standard deviation of 48.5 pounds. Are the two populations (Atkins and Zone) independent or dependent? Justify your answer. What is the point estimate for the difference in population means (₁-₂)? What is the standard error for this estimate? Find the critical value for creating a 95% confidence interval estimating 1-12. Using your answers for parts b, c, and d, create the 95% confidence interval by hand (do not use a. b. C. d. e. f. Based on the interval, which diet program had a higher average weight loss? Is the difference significant? Justify your answer.

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
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Gardner et al. condcted a A to Z weight loss study for Atkins, Zone, Ornish, and LEARN diets. Participants were randomly assigned. As part of the study, Atkins (consider this group 1) has 77 participants, and Zone (consider this group 2) has 79 participants. For the Atkins group, the average weight loss was 29.3 pounds with a standard deviation of 59 pounds. The Zone group has an average weight loss of 4.2 pounds and a standard deviation of 48.5 pounds. Are the two populations (Atkins and Zone) independent or dependent? Justify your answer. What is the point estimate for the difference in population means (μ₁ −μ₂)? What is the standard error for this estimate? Find the critical value for creating a 95% confidence interval estimating ₁2. Using your answers for parts b, c, and d, create the 95% confidence interval by hand (do not use a. b. C. d. e. f. R). Based on the interval, which diet program had a higher average weight loss? Is the difference significant? Justify your answer.
Transcribed Image Text:Gardner et al. condcted a A to Z weight loss study for Atkins, Zone, Ornish, and LEARN diets. Participants were randomly assigned. As part of the study, Atkins (consider this group 1) has 77 participants, and Zone (consider this group 2) has 79 participants. For the Atkins group, the average weight loss was 29.3 pounds with a standard deviation of 59 pounds. The Zone group has an average weight loss of 4.2 pounds and a standard deviation of 48.5 pounds. Are the two populations (Atkins and Zone) independent or dependent? Justify your answer. What is the point estimate for the difference in population means (μ₁ −μ₂)? What is the standard error for this estimate? Find the critical value for creating a 95% confidence interval estimating ₁2. Using your answers for parts b, c, and d, create the 95% confidence interval by hand (do not use a. b. C. d. e. f. R). Based on the interval, which diet program had a higher average weight loss? Is the difference significant? Justify your answer.
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