CH6:Q1

a) Upper Control Limit-x = ___ (round l to nearest 3 decimal places)

b) Lower Control Limit -x = ___

The control limits for 3 sigma R chart are:

c) Upper Control Limit (UCLr) = ___ lb. (round to nearest three decimal places)

d) Lower Control Limit (UCLr) = ___ lb

Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean =57.75lb; Average range R=1.64lb. \begin{tabular}{cccc} \hline SampleSize,n & MeanFactor,A2 & UpperRange,D4 & LowerRange,D3 \\ \hline 2 & 1.880 & 3.268 & 0 \\ 3 & 1.023 & 2.574 & 0 \\ 4 & 0.729 & 2.282 & 0 \\ 5 & 0.577 & 2.115 & 0 \\ 6 & 0.483 & 2.004 & 0 \\ 7 & 0.419 & 1.924 & 0.076 \\ 8 & 0.373 & 1.864 & 0.136 \\ 9 & 0.337 & 1.816 & 0.184 \\ 10 & 0.308 & 1.777 & 0.223 \\ 12 & 0.266 & 1.716 & 0.284 \\ \hline \end{tabular}