Exercise $7-38$ Algo

Consider a normally distributed population with mean $=70$ and standard deviation $=9.$

a$.$ Calculate the centerline, the upper control limit $($UCL$),$ and the lower control limit $($LCL$)$ for the $\stackrel{}{x}$ chart if samples of size $4$ are used. $($Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to $2$ decimal places.$)$

$\backslash$table$[[,],[$Centerline$,],[$Upper Control Limit,$],[$Lower Control Limit,$]]$

b$.$ Calculate the centerline, the upper control limit $($UCL$),$ and the lower control limit $($LCL for the $\stackrel{}{x}$ chart if samples of size $8$ are used. $($Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to $2$ decimal places.$)$

$\backslash$table$[[,],[$Centerline$,],[$Upper Control Limit,$],[$Lower Control Limit,$]]$