The time to deliver packaged containers by a logistics company is found from samples of size 4.
Question:
(a) Find the 2σ and 3σ control limits for the average delivery time.
(b) Explain a type I and type II error specifically in this context.
(c) Suppose that Rules 1 and 3 are used simultaneously to detect out-of-control conditions. Assuming independence of the rules, what is the overall probability of a type I error for 3ó control limits?
(d) If the mean delivery time shifts to 145 hours, what is the probability of not detecting this by the second sample after the shift?
(e) What is the ARL? Explain.
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Related Book For
Fundamentals of quality control and improvement
ISBN: 978-0470226537
3rd edition
Authors: amitava mitra
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