Consider a normally distributed population with mean # # 84 and standard deviation o = 10, a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the 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.) Contorting Upper Control Limit Lower Control Limit b. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the & 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) Comtorino Uppor Control Limit Lower Contial Limitc. Discuss the effect of the sample size on the control limits. The larger sample size gives control limits due to the standard error