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Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond their scheduled

Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond their scheduled appointments. She asked her assistant to take random samples of 55 patients to see how many in each sample had to wait more than 30 minutes. Each instance is considered a defect in the clinic process.

The table below contains the data for 15 samples.

Sample Number of Defects Sample Number of Defects Sample Number of Defects
1 5 6 8 11 7
2 5 7 8 12 3
3 4 8 4 13 8
4 8 9 2 14 8
5 4 10 2 15 7

1) Assuming Janice Sanders is willing to use three-sigma control limits, what is the upper control limit (UCL)? Round your answer to two decimal places.

2) Based on your three-sigma control limits and the data in the table, is the waiting time of the patients in control?

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