Question: During a certain time interval, you took one hundred samples. You collected the results and used a three-sigma control chart (p-chart) for the sample proportion
During a certain time interval, you took one hundred samples. You collected the results and used a three-sigma control chart (p-chart) for the sample proportion defects.
| Sample | # of defectives | Sample | # of defectives |
| 1 | 4 | 11 | 8 |
| 2 | 10 | 12 | 12 |
| 3 | 12 | 13 | 9 |
| 4 | 3 | 14 | 10 |
| 5 | 9 | 15 | 21 |
| 6 | 11 | 16 | 10 |
| 7 | 10 | 17 | 8 |
| 8 | 22 | 18 | 12 |
| 9 | 13 | 19 | 10 |
| 10 | 10 | 20 | 16 |
Is process under control and why?
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| The process is not in control, because sample 8 and sample 15, both are above upper limit control 0.22 > 0.2 and 0.21 > 0.2 respectively. |
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| Everything is in balance. The process in under control, because all samples are within the limits. |
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| The process is not in control, because one of the samples is above upper limit control 0.21 > 0.2 on the p-chart. |
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| The process is still under control and capable, because samples 1 and 4 are just a bit out of control limits, which is fine. |
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