Question: Case weight was determined to be a very important parameter in a packaging plant. Once every hour a sampling of 5 case weights was taken.
Case weight was determined to be a very important parameter in a packaging plant. Once every hour a sampling of 5 case weights was taken. The last six hours worth of sample weights in kilograms is presented in the table below. Using the data in this table, answer the three questions below.
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| W1 | W2 | W3 | W4 | W5 |
| 1:00 | 7 | 4 | 5 | 7 | 3 |
| 2:00 | 7 | 5 | 3 | 4 | 7 |
| 3:00 | 6 | 4 | 6 | 6 | 5 |
| 4:00 | 6 | 5 | 7 | 4 | 7 |
| 5:00 | 5 | 7 | 3 | 7 | 3 |
| 6:00 | 3 | 7 | 7 | 3 | 4 |
| Table of Constants | |||
| Samples (n) | A2 | D3 | D4 |
| 3 | 1.023 | 0.000 | 2.574 |
| 4 | 0.729 | 0.000 | 2.282 |
| 5 | 0.577 | 0.000 | 2.114 |
| 6 | 0.480 | 0.000 | 2.000 |
| 10 | 0.308 | 0.223 | 1.777 |
| 15 | 0.223 | 0.347 | 1.653 |
| New Set of Sample Means and Ranges | |||||
| X-Bar | 4.3 | 5.9 | 5.8 | 6.0 | 5.7 |
| R | 1.0 | 3.2 | 3.3 | 6.1 | 3.4 |
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