Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for thi

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

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