Consider the TAT data in Exercise 15-18. (a) Construct an CUSUM control chart with the target equal

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Consider the TAT data in Exercise 15-18.

(a) Construct an CUSUM control chart with the target equal to the estimated process mean, k = 0.5, and h = 4. Does the process appear to be in control at the target?

(b) If the mean increases by 5 minutes, approximate the chart's ARL.


Exercise 15-18

An article in Quality & Safety in Health Care [€œStatistical Process Control as a Tool for Research and Healthcare Improvement,€ (2003) considered a number of control charts in healthcare. The following approximate data were used to construct XÌ… ˆ’ S charts for the turn around time (TAT) for complete blood counts (in minutes). The subgroup size is n = 3 per shift, and the mean standard deviation is 21. Construct the XÌ… chart and comment on the control of the process. If necessary, assume that assignable causes can be found, eliminate suspect points, and revise the control limits.


2 3 4 10 11 12 13 14 31 9. 25 39 40 30 49 TAT 51 73 28 52 65 49 51 50 25 39 40 4) 3.

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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