Question: The following data was obtained by taking six samples per hour for six hours from a manufacturing process and weighing them: (Please right detail steps,
The following data was obtained by taking six samples per hour for six hours from a manufacturing process and weighing them: (Please right detail steps, not just answers. No need to draw graphs)
| HOURS | Weight (Grams) |
| 1 | 110, 105, 98, 100, 102, 108 |
| 2 | 79, 102, 100, 104, 85, 98 |
| 3 | 100, 102, 100, 96, 98, 105 |
| 4 | 94, 98, 99, 101, 96, 105 |
| 5 | 98, 104, 97, 100, 102, 106 |
| 6 | 104, 97, 99, 100, 94, 1.2 |
For the data shown above,
- Find the X and R for each sample.
- Find the X and R for the six samples.
- Find the UCL and LCL for the mean and range charts.
Note: A2, D3, and D4 values are;
| Sample Size, n | Mean factor, A2 | UCL, D4 | LCL, D3 |
| 2 | 1.88 | 3.268 | 0 |
| 3 | 1.023 | 2.574 | 0 |
| 4 | 0.729 | 2.282 | 0 |
| 5 | 0.577 | 2.115 | 0 |
| 6 | 0.483 | 2.004 | 0 |
| 7 | 0.419 | 1.924 | 0.076 |
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