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Refer to Table 4. Suppose that you wished to continue charting this quality characteristic using x and R charts based on a sample size of
Refer to Table 4. Suppose that you wished to continue charting this quality characteristic using x and R charts based on a sample size of n = 3. What limits would be used on the x and R charts? Consider all 24 samples. Use the following equation for UCL and LCL. R _old = average range for the old sample size R _new = average range for the new sample size nold = old sample size nnew = new sample size d_(2(old)) = factor d2 for the old sample size d_(2(new)) = factor d2 for the new sample size For the x-chart, the new control limits are: UCL=x A_2 (d_(2(new))/d_(2(old)) ) R _old LCL=x -A_2 (d_(2(new))/d_(2(old)) ) R _old where the center line x is unchanged and the factor A2 is selected for the new sample size. For the R-chart, the new parameters are: UCL=D_4 (d_(2(new))/d_(2(old)) ) R _old CL=R _new=d_(2(new))/d_(2(old)) R _old LCL=max{0,D_3 (d_(2(new))/d_(2(old)) ) R _old } where D3 and D4 are selected for the new sample size
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