(Solved): Refer to the table Factors for Computing Control Chart Limits ( 3 sigma). for this problem. Your su ...

Refer to the table Factors for Computing Control Chart Limits ( 3 sigma). for this problem. Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of $n=6$ taken during the past 3 hours: Set the control limits for this process for the $\overline{\mathrm{x}}$-chart when the machine is working properly. $\begin{array}{l}{\mathrm{UCL}}_{\mathrm{x}}^{?}=51.69\text{ grams (round your response to two decimal places). }\\ {\mathrm{LCL}}_{\mathrm{x}}^{?}=\text{ grams (round your response to two decimal places). }\end{array}$