Metropolitan General Hospital is a city-owned and operated public hospital. Its emergency room is the largest and most prominent in the city. Approximately 70% of emergency cases in the city come or are sent to Metro General's emergency room. As a result, the emergency room is often crowded and the staff is overworked, causing concern among hospital administrators and city officials about the quality of service and health care the emergency room is able to provide. One of the key quality attributes administrators focus on is patient waiting time that is, the time be- tween when a patient checks in and registers and when the patient first sees an appropriate medical staff member. Hospital administration wants to monitor patient waiting time using statistical process control charts. At different times of the day over a period of several days, patient waiting times were recorded at random with the following results: Sample 1 2 3 4 5 6 7 9 10 17 22 6 35 21 7 25 15 1 28 27 16 17 31 Answer these questions: Waiting Times (min) 3 2 18 25 15 27 33 15 21 38 26 23 20 31 22 16 45 22 26 23 24 29 4 23 40 19 20 12 20 33 25 35 20 5 19 17 23 24 22 30 19 31 32 27 a. Develop an x-chart to be used in conjunction with an R- chart to monitor patient waiting time and indicate if the process appears to be in control. b. The city has established a requirement that emergency room patients have a waiting time of 25 minutes +/- 5 minutes. Based on the results in part (a) is the emergency room capable of meeting this requirement with its current process?
Metropolitan General Hospital is a city-owned and operated public hospital. Its emergency room is the largest and most prominent in the city. Approximately 70% of emergency cases in the city come or are sent to Metro General's emergency room. As a result, the emergency room is often crowded and the staff is overworked, causing concern among hospital administrators and city officials about the quality of service and health care the emergency room is able to provide. One of the key quality attributes administrators focus on is patient waiting time that is, the time be- tween when a patient checks in and registers and when the patient first sees an appropriate medical staff member. Hospital administration wants to monitor patient waiting time using statistical process control charts. At different times of the day over a period of several days, patient waiting times were recorded at random with the following results: Sample 1 2 3 4 5 6 7 9 10 17 22 6 35 21 7 25 15 1 28 27 16 17 31 Answer these questions: Waiting Times (min) 3 2 18 25 15 27 33 15 21 38 26 23 20 31 22 16 45 22 26 23 24 29 4 23 40 19 20 12 20 33 25 35 20 5 19 17 23 24 22 30 19 31 32 27 a. Develop an x-chart to be used in conjunction with an R- chart to monitor patient waiting time and indicate if the process appears to be in control. b. The city has established a requirement that emergency room patients have a waiting time of 25 minutes +/- 5 minutes. Based on the results in part (a) is the emergency room capable of meeting this requirement with its current process?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 1C
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Transcribed Image Text:QUESTION 3
Metropolitan General Hospital is a city-owned and operated public hospital. Its emergency
room is the largest and most prominent in the city. Approximately 70% of emergency cases in
the city come or are sent to Metro General's emergency room. As a result, the emergency room
is often crowded and the staff is overworked, causing concern among hospital administrators
and city officials about the quality of service and health care the emergency room is able to
provide. One of the key quality attributes administrators focus on is patient waiting time that
is, the time be- tween when a patient checks in and registers and when the patient first sees an
appropriate medical staff member. Hospital administration wants to monitor patient waiting
time using statistical process control charts. At different times of the day over a period of
several days, patient waiting times were recorded at random with the following results:
Sample
1
2
3
4
5
6
7
8
9
10
1 7 22 6 25 21 17 25 15 1 28
27
16
35
31
Answer these questions:
2
18
Waiting Times (min)
3
25
15
27
33
15
21
38
26
23
SENKYNNINS
20
31
22
16
45
22
26
23
24
29
4
23
40
19
20
12
20
33
25
35
20
5
19
17
23
24
22
30
19
31
32
27
a. Develop an x-chart to be used in conjunction with an R- chart to monitor patient waiting
time and indicate if the process appears to be in control.
b.
The city has established a requirement that emergency room patients have a waiting
time of 25 minutes +/- 5 minutes. Based on the results in part (a) is the emergency room
capable of meeting this requirement with its current process?
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