Question
A puppet production factory is monitoring its process and the following data is collected over 5 weeks with one batch randomly sampled from each week.
A puppet production factory is monitoring its process and the following data is collected over 5 weeks with one batch randomly sampled from each week. In each batch, 10 puppets are produced. (time unit: seconds).
| Week 1 | Week 2 | Week 3 | Week 4 | Week 5 |
Average Processing time | 59.6 | 64 | 60.2 | 61.1 | 53.6 |
Range of processing time | 8.5 | 13 | 12 | 11.1 | 7.4 |
Defective units | 0 | 0 | 1 | 2 | 5 |
A: Calculate the center limit for the P-chart (4pts)
B: Calculate the LCL (3pts) for the X-chart [hint: sigma unknown]
C: Calculate the UCL (3pts) for the X-chart [hint: sigma unknown]
D: What is the UCL for the R-chart?
E: Calculate the LCL (3pts) for the R-chart of the production process.
F: Based on the control charts results, which one of the following chart best depicts this production process?
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