Problem $13-11($Algo$)$ The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one$-$hour intervals, Use three$-$sigma control limits$.$ Use Exhibit $13\mathrm{.}7.$ a$.$ Calculate the mean and range for the above samples. Note: Do not round intermediate calculations. Round your answers to $3$ decimal places.b$.$ Determine

X

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and

R

$$

$.$ Note: Do not round intermediate calculations. Round your answers to $3$ decimal places. c$.$ Determine the UCL and LCL for an

X

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$-$chart. Note: Do not round intermediate calculations. Round your answers to $3$ decimal places. d$.$ Determine the UCL and LCL for an R$-$chart. Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Do not round intermediate calculations. Round your answers to $3$ decimal places.