Question: A shift manager for a large hotel is reviewing the number of guest complaints received. The manager hopes to better understand the type of variance
A shift manager for a large hotel is reviewing the number of guest complaints received. The manager hopes to better understand the type of variance related to the number of received complaints. To do this the manger will develop a control chart. The number of weekly complaints received over a 20 week period are recorded. This data is shown in Table 3.
Table 3.
| Week | # Complaints |
| 1 | 12 |
| 2 | 11 |
| 3 | 5 |
| 4 | 16 |
| 5 | 3 |
| 6 | 3 |
| 7 | 2 |
| 8 | 16 |
| 9 | 12 |
| 10 | 15 |
| 11 | 2 |
| 12 | 4 |
| 13 | 3 |
| 14 | 10 |
| 15 | 2 |
| 16 | 4 |
| 17 | 4 |
| 18 | 5 |
| 19 | 1 |
| 20 | 8 |
The manager hopes to develop a C-Chart using 3 sigma limits.
Using the data shown in Table 2, calculate the elements of a C-chart (Center line, Upper Control Limit, Lower Control Limit). Once you have calculated the control limits for the chart, identify whether the process is in or out of statistical control. (All calculations should be carried out to 3 decimal places)
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