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5. A hotel monitored customer complaints for last ten days. The number of complaints for each day was noted as:
| Day | Number of complaint |
| 1 | 8 |
| 2 | 9 |
| 3 | 6 |
| 4 | 10 |
| 5 | 12 |
| 6 | 4 |
| 7 | 9 |
| 8 | 11 |
| 9 | 9 |
| 10 | 12 |
Draw the c-chart that monitors the process. Show all work for calculating control limits, center line. Is the process in a state of control?
Expert Answer
Mean value cav = sum of all values / number of observations
= 90/10 = 9
Mean line will be at n=9 complaints.
Control limits = cav +- 3 ( Cav)1/2
Upper control limit = 9+3 (9)1/2 = 9+9 = 18
Lower control limit = 9-9 = 0
The process is in control because all values are within control limits.
Chart
