Refer to the table Factors for Computing Control Chart Limits $(3$ sigma$)$ for this problem.

The overall average of a process you are attempting to monitor at Feryal Erhun Enterprises is $50$ units. The average range is $3$ units. The sample size you are using is $n=4.$

a$)$ What are the upper and lower control limits of the $3-$sigma mean chart?

Upper control limit $(UC{L}_x^{-})=$units $($round your response to three decimal places$).$

Lower control limit $(LC{L}_x^{-})=$units $($round your response to three decimal places$).$

b$)$ What are the upper and lower control limits of the $3-$sigma range chart?

Upper control limit $(UC{L}_R)=$ units $($round your response to two decimal places$).$

Lower control limit $(LC{L}_R)=$ units $($round your response to two decimal places$).$