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  3. the following xbar and s charts based on n=4 have

The following xbar and s charts based on n=4 have shown statistical control: Xba Chart: UCL=710,...

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Basic Math

The following xbar and s charts based on n=4 have shownstatistical 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 (standarddeviation).

B)If the specifications are at 705+/-15, and the process outputis 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 standarddeviation simulatneously shifts to 12. Find the probability ofdetecting this shift on the x bar chart on the first subsequentsample.

E)For the shift of part (D) , find the ARL.

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