A hospital emergency department is monitoring time needed to admit the patient using x-bar and R charts. The Table given below presents summary data for 20 subgroups of two patients each (time is in minutes).
a) Employ these data to find out the control limits for the x-bar and R control charts for this patient admitting process.
b) Plot the preliminary data from the first 20 samples on the control charts that you set up in part (a). Is this process in statistical control?
A hospital emergency department is monitoring the time required to admit a patient using x-bar and R charts. The Table below presents summary data for 20 subgroups of two patients each (time is in minutes).
a) Use these data to determine the control limits for the x-bar and R control charts for this patient admitting process.
b) Plot the preliminary data from the first 20 samples on the control charts that you set up in part (a). Is this process in statistical control?
| Subgroup |
x-bar |
R |
Subgroup |
x-bar |
R |
|
8.3 |
2 |
11 |
8.8 |
3 |
| 2 |
8.1 |
3 |
12 |
9.1 |
5 |
| 3 |
7.9 |
1 |
13 |
5.9 |
3 |
| 4 |
6.3 |
5 |
14 |
9.0 |
6 |
| 5 |
8.5 |
3 |
15 |
6.4 |
3 |
| 6 |
7.5 |
4 |
16 |
7.3 |
3 |
| 7 |
8.0 |
3 |
17 |
5.3 |
2 |
| 8 |
7.4 |
2 |
18 |
7.6 |
4 |
| 9 |
6.4 |
2 |
19 |
8.1 |
3 |
| 10 |
7.5 |
4 |
20 |
8.0 |
2 |