onsider a normally distributed population with mean $=75$ and standard deviation $\backslash$sigma $=11.$

Calculate the centerline, the upper control limit $($UCL$),$ and the lower control limit $($LCL$)$ for the x$$

chart if samples of size $6$ are used.

Note: Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to $2$ decimal places.

Calculate the centerline, the upper control limit $($UCL$),$ and the lower control limit $($LCL$)$ for the x$$

chart if samples of size $12$ are used.

Note: Round the value for the centerline to the nearest whole number and the values for the UCL and LCL to $2$ decimal places.

Discuss the effect of the sample size on the control limits$.$