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 $10\mathrm{.}13.$

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$.$

SAMPLE NUMBER READINGS $($IN OHMS$)$

$11010991985986$

$29959961009994$

$3990100310151008$

$4101510201009998$

$5101310191005993$

$699410019941005$

$79899929821020$

$81001986996996$

$9100698910051007$

$1099210071006979$

$119961006997989$

$1210199969911011$

$139819919891003$

$14999993988984$

$15101310021005992$

For all answers, round answer to $3$ decimals

Determine Xbar

Determine Rbar

Determine the UCL for X chart

Determine the LCL for X chart

Determine the UCL for R$-$chart

Determine the LCL for R$-$chart

Is the process in statistical control $($yes or no$)$