The Wilson Piston Company manufactures pistons for LawnGuy mowers, and the diameter of each piston must be carefully monitored. Jeff Wilson, the quality control engineer, has sampled 8 pistons from each of the last 15 batches of 500 pistons and has recorded the following results, with x and R measured in centimeters:
| Batch | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
| x | 15.85 | 15.95 | 15.86 | 15.84 | 15.91 | 15.81 | 15.86 | 15.84 | 15.83 | 15.83 | 15.72 | 15.96 | 15.88 | 15.84 | 15.89 |
| R | 0.15 | 0.17 | 0.18 | 0.16 | 0.14 | 0.21 | 0.13 | 0.22 | 0.19 | 0.21 | 0.28 | 0.12 | 0.19 | 0.22 | 0.24 |
- Use the data above to help Jeff construct an x chart.
- Is the production process in-control? Explain
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