Answer a: UCLc= 13.946, LCLc= 2.482,
Answer b: The process is not in control: As we can see that sample 3 and sample 9 are beyond control limits in charts
Explanation:
| C-Chart using z= 2 | ||
| Mean, C= | AVERAGE(all defects) | 8.214 |
| Standard Dev (STD)= | sqrt (mean) | 2.8661 |
| UCL= | C + z*STD | 13.946 |
| LCL= | C - z*STD | 2.482 |

Use the table below for the chart
| sample | defective | Mean | LCL | UCL |
| 1 | 4 | 8.21 | 2.48 | 13.95 |
| 2 | 10 | 8.21 | 2.48 | 13.95 |
| 3 | 15 | 8.21 | 2.48 | 13.95 |
| 4 | 8 | 8.21 | 2.48 | 13.95 |
| 5 | 9 | 8.21 | 2.48 | 13.95 |
| 6 | 6 | 8.21 | 2.48 | 13.95 |
| 7 | 5 | 8.21 | 2.48 | 13.95 |
| 8 | 13 | 8.21 | 2.48 | 13.95 |
| 9 | 15 | 8.21 | 2.48 | 13.95 |
| 10 | 7 | 8.21 | 2.48 | 13.95 |
| 11 | 6 | 8.21 | 2.48 | 13.95 |
| 12 | 4 | 8.21 | 2.48 | 13.95 |
| 13 | 2 | 8.21 | 2.48 | 13.95 |
| 14 | 11 | 8.21 | 2.48 | 13.95 |
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