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Consider given Exercise. Determine the sensitivity of the control limits complication rate using values of 0.2% and 0.5%.
ExerciseThe 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
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
Failure times for a randomly failing component are 3.3, 14.3, 27.1, 41.3, and 92.2 hours. Find the MTTF and standard deviation using: a) moment estimation. b) maximum likelihood estimation.
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fitting of simple linear regression equation.a researcher wishes to determine whether a persons age is related to the
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