An analyst has drawn twelve samples, each containing six sample points, from a process that produces a
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An analyst has drawn twelve samples, each containing six sample points, from a process that produces a product. The diameter of each product in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:
Sample | ||
Sample | Mean (in.) | Range (in.) |
1 | 10.012 | 0.009 |
2 | 10.007 | 0.014 |
3 | 9.991 | 0.007 |
4 | 10.006 | 0.026 |
5 | 9.997 | 0.016 |
6 | 9.999 | 0.012 |
7 | 10.001 | 0.008 |
8 | 10.005 | 0.013 |
9 | 9.995 | 0.015 |
10 | 10.001 | 0.011 |
11 | 10.003 | 0.014 |
12 | 10.006 | 0.009 |
- Determine the upper and lower control limits and the overall means for x-charts and R-charts.
- Draw the charts and plot the values of the sample means and ranges.
- Do the data indicate a process that is in control?
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