A group of 78 people enrolled in a weight-loss program that involved adhering to a special diet and to a daily exercise program. After six months, their mean weight loss was 25 pounds, with a sample standard deviation of 9 pounds. A second group of 43 people went on the diet but didn’t exercise. After six months, their mean weight loss was 14 pounds, with a sample standard deviation of 7 pounds. Find a 95% confidence interval for the mean difference between the weight losses.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A group of 78 people enrolled in a weight-loss program that involved adhering to a special
diet and to a daily exercise program. After six months, their mean weight loss was 25
pounds, with a sample standard deviation of 9 pounds. A second group of 43 people went
on the diet but didn’t exercise. After six months, their mean weight loss was 14 pounds,
with a sample standard deviation of 7 pounds. Find a 95% confidence interval for the mean
difference between the weight losses.

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