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
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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
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.
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