Refer to Table S$6\mathrm{.}1-$ Factors for Computing Control Chart Limits $(3$ sigma$)$ for this problem.

Sampling $4$ pieces of precision$-$cut wire $($to be used in computer assembly$)$ every hour for the past $24$ hours has produced the following results:

Based on the sampling$$ done, the control limits for $3-$sigma x are $($round all intermediate calculations to three decimal places before proceeding with further $$calculations$)$:

Upper control limit $($UCLx$)\_\_\_$ inches $($round response to three decimal places$)$

Lower control limit $($UCLx$)\_\_\_$ inches $($round response to three decimal places$)$

Based on the x chart the wire cutting process has been $\_\_\_\_\_\_\_\_($in control or out of control$)$

The control limits for the $3-$sigma R$-$chart are $($round your response to three decimal places$)$

Upper control limit $($UCLR$)=\_\_\_\_\_$ inches $($ round all intermediate calculations to three decimal places$)$

Lower control limit $($UCLR$)\_\_\_\_\_$ inches $($round response to three decimal places$)$

Based on the R$-$chart, the wire cutting process has been $\_\_\_\_\_\_\_\_($in control or out of control$)$