Refer to Exercise 8-36. Set up 2 control limits. What is the probability of detecting a change

Refer to Exercise 8-36. Set up 2σ control limits. What is the probability of detecting a change in the process average number of dietary errors per 100 trays to 8 on the first sample drawn after the change? Explain under what conditions you would prefer to have these 2σ control limits over the traditional 3σ limits.

Exercise 8-36

Refer to Exercise 8-27. Construct an OC curve for the c-chart. If the process average number of dietary errors per 100 trays increases to 10, what is the probability of detecting this on the first sample drawn after the change?

The number of dietary errors is found from a random sample of 100 trays chosen on a daily basis in a health care facility. The data for 25 such samples are shown in Table 8-27.

Table 8-27

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  • (a) Construct an appropriate control chart and comment on the process.
  • (b) How many dietary errors do you predict if no changes are made in the process
    (c) Is the system capable of reducing dietary errors to 2, on average, per 100 trays, if no changes are made in the process?
• (d) Is the system capable of reducing dietary errors to 2, on average, per 100 trays, if no changes are made in the process?

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TABLE S-32 Complication Number of Complication Sequence Procedures Sequence 1 2345∞ 6 7 8 9 654 981 1508 436 1202 889 1854 3068 704 10 11 12 13 14 15 16 17 Number of Complication Procedures Sequence 1654 892 750 1333 1404 909 822 1609 18 19 20 21 22 23 24 25 Number of Procedures 1794 1112 652 1050 1085 1422 688 1095