In: Operations Management
Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a control chart, and calculate the percentage of units that are expected to be out of spec (z-value). Please show all work for how all calculations were computed.
Filling Line Checks - ounces | |||||||||
Specification: 12 ounces min; max - 15 ounces | |||||||||
Sample | Sample Times | ||||||||
Number | 1pm | 2pm | 3pm | 4pm | 5pm | 6pm | 7pm | 8pm | |
1 | 12.5 | 12.4 | 12.4 | 12.8 | 13 | 12.8 | 12.8 | 13 | |
2 | 12.4 | 12.4 | 12.5 | 13 | 13.2 | 12.8 | 13 | 13.1 | |
3 | 13 | 12.6 | 12.6 | 13.2 | 13 | 13 | 13 | 13.1 | |
4 | 12.8 | 12.7 | 12.4 | 12.8 | 13.2 | 13.3 | 13 | 12.9 | |
5 | 12.5 | 12.5 | 12.2 | 13 | 13.1 | 13.1 | 12.8 | 12.9 | |
6 | 12.9 | 12.2 | 12.3 | 13 | 12.9 | 13 | 12.9 | 12.8 | |
Total | 76.1 | 74.8 | 74.4 | 77.8 | 78.4 | 78 | 77.5 | 77.8 | Average |
Average | |||||||||
Range | |||||||||
Std Dev | |||||||||
UCL? = | |||||||||
LCL? = | |||||||||
UCLr = | |||||||||
LCLr= |