Calculate control limit (x bar, r chart, capability index, create a control chart, calculate the percentage of units that are expected to be out of spec(z-value)

 

Sample Number 1 2 3 4 5 6 Total Average Range Std Dev 1pm 12.5 12.4 13 12.8 12.5 12.9 76.1 UCL = LCL = UCLr= LCL- 2pm Filling Line Checks - ounces Specification: 12 ounces min; max-15 ounces Sample Times 4pm 5pm 12.4 12.4 12.6 12.7 12.5 12.2 74.8 3pm 12.4 12.5 12.6 12.4 12.2 12.3 74.4 12.8 13 13.2 12.8 13 13 77.8 13 13.2 13 13.2 13.1 12.9 78.4 6pm 12.8 12.8 13 13.3 13.1 13 78 7pm 12.8 13 13 13 12.8 12.9 77.5 8pm 13 13.1 13.1 12.9 12.9 12.8 77.8 Average