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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