For a Shewhart statistical process control chart, the following is the control limit design principle for the variable (the variable of quality characteristic of interest). UCL = µ + 3σ, CL = µ, LCL = µ - 3σ.
Find α or ARL0 for this control chart. Assume that the process is under control and the process data is normally distributed.
(2) At the same assumptions, if UCL = Zα/2 and LCL = -Zα/2, then find the ARL0. Here, Zα/2 is defined as the upper α/2 percentage point of the standard normal distribution.