Control charts for X and R are maintained on a process. After $20$ preliminary subgroups each of size $3$ are evaluated, you have the following data: Q$1.$ Control charts for X$$ and R are maintained on a process. After $20$ preliminary subgroups each of size $3$ are evaluated, you have the following data:

$\_$i$=1^20$x$\_$i$=5,502\_$i$=1^20$ R$\_$i$=60$

$($a$)$ Set up the X$,$ R control charts using these data. $($Use $3-$Sigma Control Limits$)$ i$)$ What is the point estimate of $\backslash$sigma $?$ ii$)$ What is the estimated standard deviation of R $?$ iii$)$ What is the center line of R control chart iv$)$ What is UCL of R control chart v$)$ What is LCL of R control chart vi$)$ What is the center line of X$$ control chart vii$)$ What is UCL of X$$ control chart