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1. Design X-bar and R charts a control chart with standards given as an aimed-at mean of Xo = 4.0, Sigma = .0033, and Subgroup size -5. It is not necessary to sketch the control-chart since we have no points to put on it. Just specify, CL, UCL and LCL. That is the design. 2. Then find the probability of in-control nonconformance given, USL = 4.00995 and LSL 3.99005 3. Also, by theory, what is the Probability of an out-of-control point when the process is in-control (type-ll error). No math required but feel free to do a proof. 4. Specify the long term, in-control ARLo. 5. Then find the long term process capability ratio, Cp.
math   Statistics-And-Probability   
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SoL Neu dad F 3.aasSa3 3wS) (u-ooLN19-3.assa3)LCL UCL SIG MA USL SI LARLy FOR USL ANO LsL

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