Question: The data in the following table represent individual observations on molecular weight taken hourly from a chemical process. The target value of molecular weight is
The data in the following table represent individual observations on molecular weight taken hourly from a chemical process. The target value of molecular weight is 1,050 and the process standard deviation is thought to be about = 25.
| Observation Number | x | Observation Number | x |
| 1 | 1,045 | 11 | 1,139 |
| 2 | 1,055 | 12 | 1,169 |
| 3 | 1,037 | 13 | 1,151 |
| 4 | 1,064 | 14 | 1,128 |
| 5 | 1,095 | 15 | 1,238 |
| 6 | 1,008 | 16 | 1,125 |
| 7 | 1,050 | 17 | 1,163 |
| 8 | 1,087 | 18 | 1,188 |
| 9 | 1,125 | 19 | 1,146 |
| 10 | 1,146 | 20 | 1,167 |
a. Set up a tabular CUSUM for the mean of this process. Design the CUSUM to quickly detect a shift of 1, using h = 5.
b. At what point did the assignable cause that sent the process out of control occur (this is not the same as when it actually went out of control)?
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