In a certain bottling industry, the quality control inspector sampled the product $($bottles$)$ each hour for $4$ hours to monitor the bottling process. The inspector pulled a sample size of $5$ bottles each hour at $8$:$00,9$:$00,10$:$00,$ and $11$:$00$ and weighed each bottle. The data gathered at each sampling is shown here: $4343$ Time $8$:$00$ AM $9$:$00$ AM $10$:$00$ AM $11$:$00$ AM Weights in ml $4142394042434144394042393840434039421.$ Plot the process on X $($mean$)$ and R $($range$)$ charts $($templates provided below$).$ X $2.$ Calculate and plot the UCL and LCL on each chart, as well as the process centerlines $($X & R$)$ and plot on the charts. $3.$ Is the process in control? Pertinent formulas and constants are provided below. Chart Centerline Type X Upper Lower Control Limit Control Limit X$+$A$,8-$A$,$ X: $\backslash$Sigma $\backslash$Chi k R R $=\backslash$Sigma R DR DER k x LX R & MR dinasasans$-$ Factors for Estimating Sample Standard Deviation Factors for X Chart Control Limits Factors for IX Chart Control Limits Factors for the Lower Control Limits Factors for the Upper Control Limits di E: D D$41\mathrm{.}1281\mathrm{.}8802\mathrm{.}6603\mathrm{.}2671\mathrm{.}6931\mathrm{.}0231\mathrm{.}7722\mathrm{.}5742\mathrm{.}0590\mathrm{.}7291\mathrm{.}4572\mathrm{.}2822\mathrm{.}3260\mathrm{.}5771\mathrm{.}2902\mathrm{.}1142\mathrm{.}5340\mathrm{.}4831\mathrm{.}1842\mathrm{.}004$ X