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 6464 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 33 6 66 11 66 2 22 7 66 12 33 3 44 8 88 13 55 4 66 9 77 14 77 5 33 10 11 15 55 Part 2 a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower control limits. Part 3 equals 00. (Enter your responses rounded to four decimal places. If your answer for LCL Subscript pLCLp is negative, enter this value as 0.) Part 4 b. Based on your control limits and the data in the table, what can you conclude about the waiting time of the patients? A. At least one of the sample proportions is below the lower control limit, so the process is not in control. B. The p-chart shows a significant change in the wait times, so the process is not in control. C. All of the sample proportions are within the control limits and there are no unusual patternsAll of the sample proportions are within the control limits and there are no unusual patterns, so the process isis in control. D. The p-chart shows a significant upward trend, so the process is not in control. E. At least one of the sample proportions is above the upper control limitAt least one of the sample proportions is above the upper control limit, so the process is notis not in control.

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 6464 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 33 6 66 11 66 2 22 7 66 12 33 3 44 8 88 13 55 4 66 9 77 14 77 5 33 10 11 15 55 Part 2 a. Assuming Janice Sanders is willing to use three-sigma control limits, construct the upper and lower control limits. Part 3 equals 00. (Enter your responses rounded to four decimal places. If your answer for LCL Subscript pLCLp is negative, enter this value as 0.) Part 4 b. Based on your control limits and the data in the table, what can you conclude about the waiting time of the patients? A. At least one of the sample proportions is below the lower control limit, so the process is not in control. B. The p-chart shows a significant change in the wait times, so the process is not in control. C. All of the sample proportions are within the control limits and there are no unusual patternsAll of the sample proportions are within the control limits and there are no unusual patterns, so the process isis in control. D. The p-chart shows a significant upward trend, so the process is not in control. E. At least one of the sample proportions is above the upper control limitAt least one of the sample proportions is above the upper control limit, so the process is notis not in control.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Part 2

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

Part 3

equals

00.

(Enter

your responses rounded to four decimal

places.

If your answer for

LCL Subscript pLCLp

is negative, enter this value as

0.)

Part 4

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

At least one of the sample proportions is below the lower 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 patternsAll of the sample proportions are within the control limits and there are no unusual patterns,

so the process

isis

in control.

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

so the process

is notis not

in control.

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Sample	Number of Defects	Sample	Number of Defects	Sample	Number of Defects
1	33	6	66	11	66
2	22	7	66	12	33
3	44	8	88	13	55
4	66	9	77	14	77
5	33	10	11	15	55