Question: A quality inspector took five samples (K=5), each with five observations (n=5),of the length of time for the assembly of a product. All values are
A quality inspector took five samples (K=5), each with five observations (n=5),of the length of time for the assembly of a product. All values are in minutes. Use the chart below to calculate the grand mean .
| Sample | |||||
| Observation | 1 | 2 | 3 | 4 | 5 |
| 1 | 5.08 | 5.08 | 5.14 | 5.07 | 5.14 |
| 2 | 5.03 | 5.09 | 5.13 | 5.02 | 5.13 |
| 3 | 5.1 | 5.11 | 5.04 | 5 | 5.17 |
| 4 | 5.07 | 5.16 | 5.13 | 5.07 | 5.03 |
| 5 | 5.12 | 5.04 | 5.08 | 5.06 | 5.09 |
calculate grand mean
Use this information to obtain three-sigma (z=3) Upper Control Limit for means of future times. Standard deviation of the process is 0.045 minute. Use the same chart values from Question 1.
Use this information to obtain three-sigma (z=3) Lower Control Limit for means of future times. Standard deviation of the process is 0.045 minute. Use the same chart values from Question 1.
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