Resistors for electronic circuits are manufactured on a highspeed

automated machine. The machine is set up to produce a

large run of resistors of $1,000$ ohms each.

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:

Sample Number Readings $($in ohms$)$

$11010991985986$

$29959961009994$

$3990100310151008$

$4101510201009998$

$5101310191005993$

$699410019941005$

$79899929821020$

$81001986996996$

$9100698910051007$

$1099210071006979$

$119961006997989$

$1210199969911011$

$139819919891003$

$14999993988984$

$15101310021005992$

Develop an $-$ chart and an R$-$chart and plot the values.

t and plot the values.

From the charts, what comments can you make about the

process? $($Use three$-$sigma control limits