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ottle 5-3. Two machines are used for filling plastic with a net volume of 300 ml. The fill volume can be assumed 3 and 0₂ 4 ml. normal, with standard deviation o₁ A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 300 ml. A random sample of 10 bottles is taken from the output of each machine. 305 306 307 307 303 Machine 1 302 298 295 303 299 = = = Machine 2 303 297 295 303 299 304 305 303 301 300 st (a) Do you think the engineer is correct? Use the P-value approach. (b) If a 0.05, what is the power of the test in part (a) for a = true difference in means of 5? (c) Find a 95% CI on the difference in means. Provide a prac- tical interpretation of this interval. (d) Assuming equal sample sizes, what sample size should be 0.01 if the true difference in used to ensure that ß 0.05. means is 5? Assume that a =

ottle 5-3. Two machines are used for filling plastic with a net volume of 300 ml. The fill volume can be assumed 3 and 0₂ 4 ml. normal, with standard deviation o₁ A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 300 ml. A random sample of 10 bottles is taken from the output of each machine. 305 306 307 307 303 Machine 1 302 298 295 303 299 = = = Machine 2 303 297 295 303 299 304 305 303 301 300 st (a) Do you think the engineer is correct? Use the P-value approach. (b) If a 0.05, what is the power of the test in part (a) for a = true difference in means of 5? (c) Find a 95% CI on the difference in means. Provide a prac- tical interpretation of this interval. (d) Assuming equal sample sizes, what sample size should be 0.01 if the true difference in used to ensure that ß 0.05. means is 5? Assume that a =

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
Problem 1P
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ottle 5-3. Two machines are used for filling plastic with a net volume of 300 ml. The fill volume can be assumed 3 and 0₂ 4 ml. normal, with standard deviation o₁ A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 300 ml. A random sample of 10 bottles is taken from the output of each machine. 305 306 307 307 303 Machine 1 302 298 295 303 299 = = = Machine 2 303 297 295 303 299 304 305 303 301 300 st (a) Do you think the engineer is correct? Use the P-value approach. (b) If a 0.05, what is the power of the test in part (a) for a = true difference in means of 5? (c) Find a 95% CI on the difference in means. Provide a prac- tical interpretation of this interval. (d) Assuming equal sample sizes, what sample size should be 0.01 if the true difference in used to ensure that ß 0.05. means is 5? Assume that a =
Transcribed Image Text:ottle 5-3. Two machines are used for filling plastic with a net volume of 300 ml. The fill volume can be assumed 3 and 0₂ 4 ml. normal, with standard deviation o₁ A member of the quality engineering staff suspects that both machines fill to the same mean net volume, whether or not this volume is 300 ml. A random sample of 10 bottles is taken from the output of each machine. 305 306 307 307 303 Machine 1 302 298 295 303 299 = = = Machine 2 303 297 295 303 299 304 305 303 301 300 st (a) Do you think the engineer is correct? Use the P-value approach. (b) If a 0.05, what is the power of the test in part (a) for a = true difference in means of 5? (c) Find a 95% CI on the difference in means. Provide a prac- tical interpretation of this interval. (d) Assuming equal sample sizes, what sample size should be 0.01 if the true difference in used to ensure that ß 0.05. means is 5? Assume that a =
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