PLEASE FIND BOTH UPPER AND LOWER CONTROL LIMITS. THANK YOU!

\begin{tabular}{cccc} Sample & Mean Factor, & Upper Range, & Lower Range, \\ Size, n & A2 & D4 & 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} 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 =60.75lb.; Average range R=1.78lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx)= lb. (round your response to three decimal places). \begin{tabular}{cccc} Sample & Mean Factor, & Upper Range, & Lower Range, \\ Size, n & A2 & D4 & 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} 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 =60.75lb.; Average range R=1.78lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx)= lb. (round your response to three decimal places)