Question: A process is in statistical control with x = 39.7 and R = 2.5. The control chart uses a sample size of n= 2. Specifications

A process is in statistical control with x = 39.7 and R = 2.5. The control chart uses a sample size of n= 2. Specifications are at 40 ± 5. The quality characteristic is normally distributed.
A process is in statistical control with x = 39.7

USL = 40 + 5 = 45; LSL = 40 €“ 5 = 35
(a) Estimate the potential capability of the process.
(b) Estimate the actual process capability.
(c) Calculate and compare the PCRs Cpm and Cpkm.
(d) How much improvement could be made in process performance if the mean could be centered at the nominal value?

n=2; =-=39.7; R=2.5; = R/d,-2.5/1.128 =2.216

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