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                        12.2 Charting. Use the first 20 duplicate observations in the data set below to construct Shewhart,
                             Range, and Cusum charts. Plot the next ten observations and decide whether the process has
                             remained in control. Compare the purpose and performance of the three charts.


                                        Observ.   y 1     y 2       Observ.   y 1    y 2
                                          1      5.88    5.61         16     5.70    5.96
                                          2      5.64    5.63         17     4.90    5.65
                                          3      5.09    5.12         18     5.40    6.71
                                          4      6.04    5.36         19     5.32    5.67
                                          5      4.66    5.24         20     4.86    4.34
                                          6      5.58    4.50         21     6.01    5.57
                                          7      6.07    5.41         22     5.55    5.55
                                          8      5.31    6.30         23     5.44    6.40
                                          9      5.48    5.83         24     5.05    5.72
                                         10      6.63    5.23         25     6.04    4.62
                                         11      5.28    5.91         26     5.63    4.62
                                         12      5.97    5.81         27     5.67    5.70
                                         13      5.82    5.19         28     6.33    6.58
                                         14      5.74    5.41         29     5.94    5.94
                                         15      5.97    6.60         30     6.68    6.09

                        12.3 Moving Averages. Use the first 20 duplicate observations in the Exercise 12.2 data set to
                             construct an MA(4) moving average chart and an EWMA chart for λ = 0.6. Plot the next ten
                             observations and decide whether the process has remained in control. Compare the purpose
                             and performance of the charts.









































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