Calculate the mean and range for the above samples.

Note: Round "Mean" to $2$ decimal places and "Range" to the nearest whole number.

Determine X$=$

and R$$

$.$

Note: Round your answers to $3$ decimal places.

Determine the UCL and LCL for an X$$

$-$chart.

Note: Round your answers to $3$ decimal places.

Determine the UCL and LCL for an R$-$chart.

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Round your answers to $3$ decimal places.

What comments can you make about the process?

multiple choice

The process is in statistical control.

The process is out of statistical control.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 $13\mathrm{.}7.$

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

as in Exhibit $13\mathrm{.}7.$