$2.$ Compute the average of sample means$(=$ x$)$ and average of sample ranges$($R$)$ for mean and range charts, respectively. Using the factors given below, determine the upper and lower control limits $($corresponding to three standard deviations$)$for mean and range charts. Sample Factors For Control Limits Sample Factors ForControlLimits Size MeanChart RangeChart Size MeanChart RangeChart n A$2$ D$3$ D$4$ n A$2$ D$3$ D$4110\mathrm{.}2850\mathrm{.}2561\mathrm{.}74421\mathrm{.}8800\mathrm{.}0003\mathrm{.}267120\mathrm{.}2660\mathrm{.}2831\mathrm{.}71731\mathrm{.}0230\mathrm{.}0002\mathrm{.}574130\mathrm{.}2490\mathrm{.}3071\mathrm{.}69340\mathrm{.}7290\mathrm{.}0002\mathrm{.}282140\mathrm{.}2350\mathrm{.}3281\mathrm{.}67250\mathrm{.}5770\mathrm{.}0002\mathrm{.}114150\mathrm{.}2230\mathrm{.}3471\mathrm{.}65360\mathrm{.}4830\mathrm{.}0002\mathrm{.}004160\mathrm{.}2120\mathrm{.}3631\mathrm{.}63770\mathrm{.}4190\mathrm{.}0761\mathrm{.}924170\mathrm{.}2030\mathrm{.}3781\mathrm{.}62280\mathrm{.}3730\mathrm{.}1361\mathrm{.}864180\mathrm{.}1940\mathrm{.}3911\mathrm{.}60890\mathrm{.}3370\mathrm{.}1841\mathrm{.}816190\mathrm{.}1870\mathrm{.}4031\mathrm{.}597100\mathrm{.}3080\mathrm{.}2231\mathrm{.}777200\mathrm{.}1800\mathrm{.}4151\mathrm{.}5853.$ Draw both the mean and range charts. Based on the control charts, what conclusion can you draw about the process, and what suggestion can you make?