Consider an EMWA control chart. The target value for the
Chapter 15, Problem 81E(choose chapter or problem)
Consider an EMWA control chart. The target value for the process is
\(\mu_{0}=50 \text { and } \sigma=2\). Use Table 15-11.
(a) If the sample size is \(n=1\) would you prefer an EWMA chart with \(\lambda=0.1\) and
\(L=2.81\) or & \(\lambda=0.5\) and \(L=3.07\) to detect a shift in the process mean to \(\mu=52\) on average? Why?
(b) If the sample size is increased to \(n=4 \), which chart in part (a) do you prefer? Why?
(c) If an EWMA chart with \(\lambda=0.1\) and \(L=2.81\) is used, what sample size is needed to detect a shift to \(\mu=52\) in approximately three samples on average?
Equation Transcription:
Text Transcription:
\mu_0=50 and \sigma=2
n=1
\lambda=0.1
L=2.81
\lambda=0.5
L=3.07
\mu=52
n=4
\lambda=0.1
L=2.81
\mu=52
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