Question: A quality analyst took the following samples as a pilot study to construct the mean and range charts. The data below shows the weight in
A quality analyst took the following samples as a pilot study to construct the mean and range charts. The data below shows the weight in ounces. Construct the mean and range charts showing all control (action) upper and lower limits, and warning upper and lower limits.
| Sample Number | Item1 | Item2 | Item3 | Item4 |
| Sample 1 | 11.9 | 12.5 | 12.4 | 12.7 |
| Sample 2 | 12.5 | 12.5 | 12.4 | 12.8 |
| Sample 3 | 12.2 | 12.8 | 12.7 | 12 |
| Sample 4 | 12.3 | 12.4 | 12.8 | 12.4 |
| Sample 5 | 12.1 | 12.8 | 12.4 | 11.9 |
| Sample 6 | 12.6 | 12.4 | 12.1 | 12.3 |
The following day, the analyst took another 6 samples to check if the process under control or not. Theses samples are as follows:
| Sample Number | Item1 | Item2 | Item3 | Item4 |
| Sample 1 | 11.9 | 11.5 | 12.4 | 12.3 |
| Sample 2 | 12.5 | 11.5 | 13.4 | 11.8 |
| Sample 3 | 12.2 | 11.8 | 11.7 | 12 |
| Sample 4 | 14.3 | 11.4 | 11.8 | 13.4 |
| Sample 5 | 15.1 | 11.8 | 12.4 | 10.9 |
| Sample 6 | 11.6 | 10.4 | 10.1 | 15.3
|
Solution by hand not excel please
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