The number of heart surgery complications is rare. To monitor the effectiveness of such surgeries, data are recorded on the number of such procedures until a complication occurs. These complications occur independently with a constant probability of occurrence and follow a geometric distribution. Table 8-27 shows such data for a sequence of 25 complications. It is estimated from past data that the complication rate is 0.1%. Construct an appropriate control chart and comment on the process assuming a type I error rate of 0.005. What would the control limits be for a type I error rate of 0.05? What factors would influence your selection of the type I error rate?
TABLE 8-27

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Complication NumberofComplication Number of Complication Number of Sequence ProceduresSequence ProceduresSequence Procedures 654 981 1508 436 1202 889 1854 3068 704 1654 892 750 1333 1404 1794 1112 652 1050 1085 1422 688 1095 10 19 12 14 15 822 1609 17