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 $3\mathrm{.}5$ 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 $\stackrel{}{x}-$chart when the machine is working properly.

$UC{L}_x^{-}=$grams $(round$ your response $to$ two decimal places$).$

Data Table