Resistors for electronic circuits are manufactured on a high $-$ speed automated machine. The machine is set up to produce a larg

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Problem $10-25($ Algo $)$ ?Resistors for electronic circuits are manufactured on a high $-$ speed automated machine. The machine is set up to produce a large run of resistors of $1,000$ ?ohms each. Use Exhibit $10,13.$ ?To set up the machine and to create a control chart to be used throughout the run, $15$ ?samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three $-$ sigma control limits $.$ ?a $.$ ?Calculate the mean and range for the above samples: Note: Round "Mean" to $2$ ?decimal places and "Range" to the nearest whole number.

b $.$ ?Determine $\backslash (\backslash$ bar $\{$ X $\}\backslash )$ ?and $\backslash (\backslash$ bar $\{$ R $\}\backslash ).$ ?Note: Round your answers to $3$ ?decimal places.

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c $.$ ?Determine the UCL and $\backslash (\backslash$ mathrm $\{$ LCL $\}\backslash )$ ?for a $\backslash (\backslash$ bar $\{$ X $\}\backslash )$ ?chart. Note: Round your answers to $3$ ?decimal places. d $.$ ?Deter

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