Question: The following sample information was obtained by taking four doughnuts per hour for twelve hours from Fawcett Bakerys doughnut process and weighing them: HOUR WEIGHT(GRAMS)
The following sample information was obtained by taking four doughnuts per hour for twelve hours from Fawcett Bakerys doughnut process and weighing them:
| HOUR | WEIGHT(GRAMS) | HOUR | WEIGHT(GRAMS) | ||
| 1 | 77,79,89,76 | 7 | 103,98,93,103 | ||
| 2 | 88,80,97,107 | 8 | 90,84,106,78 | ||
| 3 | 80,81,85,102 | 9 | 101,79,94,82 | ||
| 4 | 102,107,87,101 | 10 | 81,104,79,89 | ||
| 5 | 100,104,80,83 | 11 | 87,99,102,105 | ||
| 6 | 101,94,94,82 | 12 | 76,88,99,93 | ||
Questions Find the and R for each sample. Round your answers to two decimal places. HOUR Average Range 1 2 3 4 5 6 7 8 9 10 11 12 Find the and for the twelve samples. Do not round intermediate calculations. Round your answers to two decimal places. Overall Mean: Average Range: Find the 3-sigma UCL and LCL for the mean and range charts. Do not round intermediate calculations. If your answer is zero, enter "0". Round your answers to two decimal places. UCL: LCL: UCLR: LCLR:
| HOUR | 1 | 2 | 3 | 4 |
| 1 | 77.0 | 79.0 | 89.0 | 76.0 |
| 2 | 88.0 | 80.0 | 97.0 | 107.0 |
| 3 | 80.0 | 81.0 | 85.0 | 102.0 |
| 4 | 102.0 | 107.0 | 87.0 | 101.0 |
| 5 | 100.0 | 104.0 | 80.0 | 83.0 |
| 6 | 101.0 | 94.0 | 94.0 | 82.0 |
| 7 | 103.0 | 98.0 | 93.0 | 103.0 |
| 8 | 90.0 | 84.0 | 106.0 | 78.0 |
| 9 | 101.0 | 79.0 | 94.0 | 82.0 |
| 10 | 81.0 | 104.0 | 79.0 | 89.0 |
| 11 | 87.0 | 99.0 | 102.0 | 105.0 |
| 12 | 76.0 | 88.0 | 99.0 | 93.0 |
| Control Chart Factors (3 sigma) | ||||
| n | A2 | D3 | D4 | |
| 2 | 1.88 | 0 | 3.268 | |
| 3 | 1.023 | 0 | 2.574 | |
| 4 | 0.729 | 0 | 2.282 | |
| 5 | 0.577 | 0 | 2.115 | |
| 6 | 0.483 | 0 | 2.004 | |
| 7 | 0.419 | 0.076 | 1.924 | |
| 8 | 0.373 | 0.136 | 1.864 | |
| 9 | 0.337 | 0.184 | 1.816 | |
| 10 | 0.308 | 0.223 | 1.777 |
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