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Dark Chocolate for Good Health A study¹ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58. ¹Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun;23(3): 197-204. (a) Find a 90% confidence interval for the difference in means between the two groups Hc- HN.where μc represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and μ represents the mean increase in flow- mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality. Round your answers to two decimal places. The 90% confidence interval is i to i (b) Is it plausible that there is "no difference between the two kinds of chocolate? O Yes O No

Dark Chocolate for Good Health A study¹ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58. ¹Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun;23(3): 197-204. (a) Find a 90% confidence interval for the difference in means between the two groups Hc- HN.where μc represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and μ represents the mean increase in flow- mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality. Round your answers to two decimal places. The 90% confidence interval is i to i (b) Is it plausible that there is "no difference between the two kinds of chocolate? O Yes O No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Dark Chocolate for Good Health A study¹ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58. ¹Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun;23(3): 197-204. (a) Find a 90% confidence interval for the difference in means between the two groups Hc- HN, where μc represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and μ represents the mean increase in flow- mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality. Round your answers to two decimal places. The 90% confidence interval is i to O Yes O No i (b) Is it plausible that there is "no difference" between the two kinds of chocolate?
Transcribed Image Text:Dark Chocolate for Good Health A study¹ examines chocolate's effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58. ¹Engler, M., et. al., "Flavonoid-rich dark chocolate improves endothelial function and increases plasma epicatechin concentrations in healthy adults," Journal of the American College of Nutrition, 2004 Jun;23(3): 197-204. (a) Find a 90% confidence interval for the difference in means between the two groups Hc- HN, where μc represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and μ represents the mean increase in flow- mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality. Round your answers to two decimal places. The 90% confidence interval is i to O Yes O No i (b) Is it plausible that there is "no difference" between the two kinds of chocolate?
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