Question

In: Operations Management

Given the data provided below, calculate the control limits (X-bar and r-chart, Capability Index, create a...

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=

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