An operator trainee is attempting to monitor a filling process that has an overall average of 705 cc. The average range is 17 cc. If you use a sample size of 6, what are the upper and lower control limits for the x-bar chart and R-chart?

What will be an ideal response?


From the table, A2 = 0.483, D4 = 2.004, D3 = 0

UCL = + A2 × LCL = - A2 × UCLR = D4 ×
= 705 + 0.483 × 17 = 705 - 0.483 × 17 = 2.004 × 17
= 713.211 = 696.789 = 34.068

LCLR = D3 ×
= 0 × 17
= 0

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