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 3 6 4 11 1 2 6 7 7 12 3 3 4 8 1 13 7 4 3 9 5 14 7 5 6 10 2 15 3 a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower control limits. The UCLp equals to what and the LCLp equals to what (Enter your responses rounded to four decimal places. If your answer for LCLp is negative, enter this value as 0.)

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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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 appointments. She asked her assistant to take random samples of

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	3	6	4	11	1
2	6	7	7	12	3
3	4	8	1	13	7
4	3	9	5	14	7
5	6	10	2	15	3

a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower control limits.

The

UCLp

equals

to what

and the

LCLp

equals

to what

(Enter

your responses rounded to four decimal

places.

If your answer for

LCLp

is negative, enter this value as

0.)

b. Based on your control limits and the data in the table, what can you conclude about the waiting time of the patients?

The p-chart shows a significant upward trend, so the process is not in control.

At least one of the sample proportions is above the upper control limit,

so the process

is not

in control.

The p-chart shows a significant change in the wait times, so the process is not in control.

All of the sample proportions are within the control limits and there are no unusual patterns,

so the process

in control.

At least one of the sample proportions is below the lower control limit, so the process is not in control.

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