Construct an appropriate control chart

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Consider given Exercise. Determine the sensitivity of the control limits complication rate using values of 0.2% and 0.5%.

Exercise
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 8-32 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?

Complication Sequence

Number of Procedures

Complication Sequence

Number of Procedures

Complication Sequence

Number of Procedures

1

654

10

1654

18

1794

2

981

11

892

19

1112

3

1508

12

750

20

652

4

436

13

1333

21

1050

5

1202

14

1404

22

1085

6

889

15

909

23

1422

7

1854

16

822

24

688

8

3068

17

1609

25

1095

9

704

 

 

 

 

Reference no: EM131384772

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