Question

Refer to Table S61 - 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 mL. The average range R is 8 ml. For a sample size of 10, the control limits for 3-sigma x chart are: Upper Control Limit (UCL.2)= ml (round your response to three decimal places). Lower Control Limit (LCL;) - ml (round your response to three decimal places). The controllimits for the 3-sigma R-chart are Upper Control Limit (UCL) = mL (round your response to three decimal places). Lower Control Limit (LCLR) = ml (round your response to three decimal places).

that was the complete data the second picture is the control limits

Answer 1

For N=10, A2=0.308 , D3=0.223 , D4=1.777

In the question, X double bar =705, R bar =8

UCL X bar = X double bar + A2* R bar =705+0.308*8 =707.464 mL

LCL X bar = X double bar - A2* R bar =705-0.308*8 =702.536 mL

UCL R = D4*R bar =1.777*8=14.216 mL

LCL R= D3*Rbar=0.223*8 =1.784 mL

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