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Cumulative Count Chart 2 Belton Confidential: For training only XMR Chart Applications where sample size for process monitoring is n=1 ? 100% automated inspection and measurement ? production rate is very slow ? repeatability of measurement is negligible ? variation within unit (. roll of paper) is negligible The XMR Chart (or IMR Chart) is a useful control chart if the characteristic is independently and normally distributed. 3 Belton Confidential: For training only XMR Chart If Xi is the measurement obtained during sampling i, then the Moving Range MRi is given by MRi = Abs{Xi Xi1} = | Xi Xi1 | . MR1 = |X1 X0| MR2 = |X2 X1| MR3 = |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 =