A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests before its introduction into the market. A typical test performed is the following: The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Let µ1 be the true mean weight of individuals before starting the diet and let µ2 be the true mean weight of individuals after 3 weeks on the diet. Calculate a 90% confidence interval for the difference between the mean weights before and after the diet. Assume that the paired data came from a population that is normally distributed. Weight After Person Weight Before Diet Diet 1 145 138 190 185 3 183 180 4 192 186 199 195 Lower Confidence Interval (Round your answer to nearest thousandth) Upper Confidence Interval (Round your answer to nearest thousandth)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A new weight-reducing technique, consisting of a liquid protein diet, is
currently undergoing tests before its introduction into the market. A typical
test performed is the following: The weights of a random sample of five
people are recorded before they are introduced to the liquid protein diet.
The five individuals are then instructed to follow the liquid protein diet for 3
weeks. At the end of this period, their weights (in pounds) are again
recorded. The results are listed in the table. Let µ1 be the true mean weight
of individuals before starting the diet and let H2 be the true mean weight of
individuals after 3 weeks on the diet. Calculate a 90% confidence interval
for the difference between the mean weights before and after the diet.
Assume that the paired data came from a population that is normally
distributed.
Weight After
Person Weight Before Diet
Diet
1
145
138
2
190
185
3
183
180
192
186
199
195
Lower Confidence Interval
(Round your answer to
nearest thousandth)
Upper Confidence Interval
(Round your answer to
nearest thousandth)
Transcribed Image Text:A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests before its introduction into the market. A typical test performed is the following: The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Let µ1 be the true mean weight of individuals before starting the diet and let H2 be the true mean weight of individuals after 3 weeks on the diet. Calculate a 90% confidence interval for the difference between the mean weights before and after the diet. Assume that the paired data came from a population that is normally distributed. Weight After Person Weight Before Diet Diet 1 145 138 2 190 185 3 183 180 192 186 199 195 Lower Confidence Interval (Round your answer to nearest thousandth) Upper Confidence Interval (Round your answer to nearest thousandth)
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