Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for thi
ID: 342822 • Letter: R
Question
Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for this problem. Ross Hopkins is attempting to monitor a filling process that has an overall average of 705 co3. The average range R is 8 ce For a sample size of 10, the control limits for 3-sigma x chart are: Upper Control Limit (UCL)cc3 (round your response to three decimal places). Lower Control Li nit (LCLX)-co 3 (round yourrespo seto three decimal places). The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) = 3 (round your response to three decimal places). Lower Control Limit (LCL cc3 (round your response to three decimal places).Explanation / Answer
For Mean chart:
UCL = X-bar + A2*R-bar
LCl = X-bar - A2*R-bar
X-bar = 705
R-bar = 8
A2 for n = 10 is 0.308 (from table)
UCL = 705 + 0.308*8 = 707.464
LCL = 705 - 0.308*8 = 702.536
For Range chart:
For n=10, D4 = 1.777 and D3 = 0.223
UCL = D4*R-bar = 1.777*8 = 14.216
LCL = D3*R-bar = 0.223*8 = 1.784