The following x and s charts based on n = 4 have shown statistical control:
(a) Estimate the process parameters µ and σ.
(b) If the specifications are at 705 ± 15, and the process output is normally distributed, estimate the fraction nonconforming.
(c) For the chart, find the probability of a type I error, assuming σ is constant. x
(d) Suppose the process mean shifts to 693 and the standard deviation simultaneously shifts to 12. Find the probability of detecting this shift on the x chart on the first subsequent sample.
(e) For the shift of part (d), find the average run length.

  • CreatedNovember 06, 2015
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