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|X3 X2| X0 may be set at some historical estimate of the process mean. If X0 is omitted, then MR1 is not calculated. 4 Belton Confidential: For training only Control Limits of X and MR charts The Center Line and Control Limits of a X Chart are The Center Line and Control Limits of a MR Chart are XLineCenter22?????????0RMDLCLRMLine34?????5 Belton Confidential: For training only Example The FPC pin pull out force test is destructive test. Only 1 pc sampling per shift is allowed. Over 50 shifts of FPC pin pull out force is collected and reviewed to determine if the process is instatistical control? SN Force 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 Belton Confidential: For training only Example MiniTab’s Stat ? Control Charts ? IMR 7 Belton Confidential: For training only Example 5040302023S u b g r o u p 0423732Individual ValueM e a n = 3 6 . 9 0U C L = 4 1 . 4 1L C L = 3 2 . 3 96543210Moving RangeR = 1 . 6 9 5U C L = 5 . 5 3 9L C L = 0I a n d M R C h a r t f o r Fo r c e8 Belton Confidential: For training only XMR Charts The moving ranges are correlated, . they are dependent on the current and previous data points (X0 and Xi1). This correlation may induce a pattern of runs or cycles on the MR Chart. Avoid or ignore secondary indicators of instability. 9 Belton Confidential: For training only The Shewhart Model Shewhart Model: Yt = ? + ?t This model is based on the following assumptions: ? The process center is constant except for changes due to Assignable causes ? As long as the process is st