| A new machine has just been installed to cut and rough-shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each half-hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 A.M. to 10:30 A.M. follow. |
| Outside Diameter (millimeters) | |||||||||||
| Time | 1 | 2 | 3 | 4 | 5 | ||||||
| 8:00 | 87.3 | 87.4 | 88 | 87.1 | 87 | ||||||
| 8:30 | 86.9 | 88.5 | 87.6 | 87.5 | 87.4 | ||||||
| 9:00 | 87.6 | 88.5 | 86.8 | 87.4 | 88.2 | ||||||
| 9:30 | 86.0 | 88.0 | 87.2 | 87.6 | 87.1 | ||||||
| 10:00 | 87.3 | 87.3 | 87.3 | 87.3 | 87.3 | ||||||
| 10:30 | 88 | 86.2 | 87.5 | 87.3 | 87.8 | ||||||
| (a) | Determine the control limits for the mean and the range. |
| LCL = | UCL = |
| LCL = | UCL = |
