(Solution Library) Consider the following sensitizing rule: three out of four consecutive points fall between the 1 σ and 2 σ limits, while the
Question:
Consider the following sensitizing rule: three out of four consecutive points fall between the 1 \(\sigma \) and 2 \(\sigma \) limits, while the fourth point falls between the 2 \(\sigma \) and 3 \(\sigma \). limits, with all the four points falling on the same side of the center line.
Assume that we are using the \(\bar{x}\) control chart with a sample size of 100. What is the probability of seeing the pattern described by the sensitizing rule if the process is in control? Show your calculations and provide a numeric answer.
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