The following data $($in ohms$)$ are the resistance of resistors made on an automated machine. The mean and range of each sample are given in the right two columns, and the mean of sample means and the mean of sample ranges are given below these.

Resistance of Resistors $($in Ohms$)$

Sample Obs $1$ Obs $2$ Obs $3$ Obs $4$ Mean Range

$11,0239871,0221,0211,013\mathrm{.}2536$

$21,0199931,0039871,000\mathrm{.}5032$

$3991980979978982\mathrm{.}0013$

$49759929791,022992\mathrm{.}0047$

$59869979811,006992\mathrm{.}5025$

$69861,0149961,0061,000\mathrm{.}5028$

$71,0221,0191,0029931,009\mathrm{.}0029$

$89759761,020984988\mathrm{.}7545$

$99811,004977994989\mathrm{.}0027$

$101,0021,0011,0071,0121,005\mathrm{.}5011$

$997\mathrm{.}3029\mathrm{.}30$

$119989761,0241,014$

a$-1.$ Develop sample mean and sample range control charts for resistance of resistors using the first $10$ samples. Refer to Table $10-3.($Do not leave any empty spaces; input a $0$ wherever it is required. Round the final answers to $3$ decimal places.$)$

UCL LCL

Mean

Range

a$-2.$ Is the process in control?

multiple choice $1$

Yes

No

b$.$ Use the control charts developed in part a to decide if the $11$th sample $($also given below$)$ indicates an out$-$of$-$control situation.

multiple choice $2$

Yes

No