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The time to deliver packaged containers by a logistics company is found from samples of size 4. The mean and standard deviation of delivery times is estimated to be 140 hours and 6 hours, respectively. (a) Find the 2 sigma and 3 sigma control limits for the average delivery time. (b) Explain a type I and type II error specifically in this context. (c) If the mean delivery time shifts to 145 hours, what is the probability of not detecting this by the second sample after the shift? (d) What is the ARL? Explain

The time to deliver packaged containers by a logistics company is found from samples of size 4. The mean and standard deviation of delivery times is estimated to be 140 hours and 6 hours, respectively. (a) Find the 2 sigma and 3 sigma control limits for the average delivery time. (b) Explain a type I and type II error specifically in this context. (c) If the mean delivery time shifts to 145 hours, what is the probability of not detecting this by the second sample after the shift? (d) What is the ARL? Explain

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The time to deliver packaged containers by a logistics company is found from
samples of size 4. The mean and standard deviation of delivery times is estimated to
be 140 hours and 6 hours, respectively.
(a) Find the 2 sigma and 3 sigma control limits for the average delivery time.
(b) Explain a type I and type II error specifically in this context.
(c) If the mean delivery time shifts to 145 hours, what is the probability of not
detecting this by the second sample after the shift?
(d) What is the ARL? Explain 

 

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