Thirty$-$five samples of size $7$ each were taken from a fertilizer$-$bag$-$filling machine. The results were: Overall mean $=60\mathrm{.}75kg$; Average range $=1\mathrm{.}64k$

Click the icon to view the table of control chart constants $A_2,D_4,D_3.$

a$)$ Determine the upper and lower control limits of the $\stackrel{}{x}-$chart.

For the given sample size, the control limits for $3-$sigma $\stackrel{}{x}$ chart are:

Upper Control Limit $(UC{L}_{\stackrel{}{x}})=kg($round your response to three decimal places$).$