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Statistical Basics and Six Sigma Metrics  409


                          Process capability of film thickness
                        LSL                       USL
             Process data                                Within
          LSL     460.00000                              Overall
          Target      *
                                                      Potential (within) capability
          USL     660.00000
          Sample mean   572.02128                       Cp     1.35
          Sample?N    47                                CPL    1.51
          StDev (within)    24.66804                    CPU    1.19
          StDev (overall)   24.66804                    Cpk    1.19
                                                        CCpk   1.35
                                                        Overall capability
                                                        Pp     1.35
                                                        PPL    1.51
                                                        PPU    1.19
                                                        Ppk    1.19
                                                        Cpm     *
                           480  510  540  570  600  630  660
          Observed performance  Exp. within performance  Exp. overall performance
           PPM?<?LSL  0.00  PPM?<?LSL  2.80  PPM?<?LSL  2.80
           PPM?>?USL  0.00  PPM?>?USL  180.89  PPM?>?USL  180.89
           PPM?Total  0.00  PPM?Total  183.68  PPM?Total  183.68



        11.4.3 Sigma Quality Level (Without Mean Shift)
        In 1988, the Motorola Corporation was the winner of the Malcolm Baldrige
        National Quality Award. Motorola bases much of its quality effort on its Six
        Sigma program. The goal of this program was to reduce the variation in
        every process to such an extent that a spread of 12s (6s on each side of the
        mean) fits within the process specification limits.

        Figure 11.6 gives a graphical illustration of this Six Sigma quality. If the
        actual variation is measured by standard deviation s,6s quality means that









                      LSL                           USL





                      −6s     −3s      m    +3s    +6s
        Figure 11.6  Normal Distribution and Six Sigma Quality
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