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Consider given Exercise. under the assumption that the complication rate is 0.1%. If you were to construct a p-chart using two-sided 3σ limits, what would the minimum sample size be to detect an improvement in the process?
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 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
the public library has a board of directors consisting of 6 women and 4 men. a 3-member committee from the board is to
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Calculate the mean and standard deviation of the following data sets, then produce a five number summary and box plot of data.
The p-value for a test statistic is .085, what is the minimum level of significance required to reject the null hypothesis?
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discuss a decision familiar to you that can be analyzed by using a decision tree.please answer in at least 3 sentences
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A Convergent Variation of the Sub gradient Method) This exercise provides a convergence result for a common variation of the subgradient method (the result is due to Brannlund [1993]; see also Goffin and Kiwiel [1996]).
a. Suppose the sum of the resulting sample ranges for 30 subgroups, each consisting of four units, is 85.2. Calculate control limits for an R chart.
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