The dean of the College of Business at State University wants to monitor the quality of the work performed by the college”s secretarial staff. Each completed assignment is returned to the faculty with a check sheet on which the faculty member is asked to list the errors made on the assignment. The assistant dean has randomly collected the following set of observations from 20 three-day work periods:
Sample Number of Errors 1 17 2 9 3 12 4 15 5 26 6 11 7 18 8 15 9 21 10 10 11 12 12 17 13 16 14 23 15 24 16 18 17 14 18 12 19 20 20 16
Construct a process control chart for secretarial work quality using 3σ limits and determine if the process was out of control at any point. Use pattern tests to determine if any nonrandom patterns exist.
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| Sample | Number of Errors |
| 1 | 17 |
| 2 | 9 |
| 3 | 12 |
| 4 | 15 |
| 5 | 26 |
| 6 | 11 |
| 7 | 18 |
| 8 | 15 |
| 9 | 21 |
| 10 | 10 |
| 11 | 12 |
| 12 | 17 |
| 13 | 16 |
| 14 | 23 |
| 15 | 24 |
| 16 | 18 |
| 17 | 14 |
| 18 | 12 |
| 19 | 20 |
| 20 | 16 |
Construct a process control chart for secretarial work quality using 3σ limits and determine if the process was out of control at any point. Use pattern tests to determine if any nonrandom patterns exist.
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