In: Math
The following xbar and s charts based on n=4 have shown statistical control: Xba Chart: UCL=710, CL=700, LCL=690, s chart- UCL=18.08, CL=7.979, LCL=0,
A)Estimate the process parameters mean and sigma (standard deviation).
B)If the specifications are at 705+/-15, and the process output is normally distributed, estimate the fraction non conforming.
C)For the Xbar chart, find the probability of a type I error, assuming sigma is constant.
D)Suppose the process mean shifts to 693 and the standard deviation simulatneously shifts to 12. Find the probability of detecting this shift on the x bar chart on the first subsequent sample.
E)For the shift of part (D) , find the ARL.