# hw3 - error for detecting this mean shift by using this...

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IOE466 – HW3 Due: Oct 4 th Problem 4: Assume that a quality characteristic X follows a distribution with the following probability density function. 1) Find the 0.001 probability limits for X (both UPL and LPL) 2) What is the type I error corresponding to 0.001 probability limits

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IOE466 – HW3 Due: Oct 4 th Problem 5: Find the answers for the following problems: 1) What is the type I error for x-bar control charts with k=3.09 and sample size of 4? 2) Assume the mean shift is 1.5 σ (σ is the process standard deviation), what is the type II
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Unformatted text preview: error for detecting this mean shift by using this control chart? 3) What is the probability that the out-of-control condition will be detected on the sample following the shift. 4) What is the expected number of subgroups analyzed until the shift is detected. 5) What is the probability that the first sample following the shift produces a statistics that plots inside the control limits. 6) What is the probability that two consecutive samples produce statistics that plot outside of the control limits....
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## This note was uploaded on 03/16/2012 for the course IEOR 466 taught by Professor Richard during the Spring '12 term at Columbia.

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hw3 - error for detecting this mean shift by using this...

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