Construct $3-$sigma X$-$bar and R$-$charts using the data in the table. What conclusions can you draw about the state of control for this process?

Sample # Observation $1$ Observation $2$ Observation $3$ Observation $4$

$10\mathrm{.}4860\mathrm{.}4990\mathrm{.}4930\mathrm{.}511$

$20\mathrm{.}4990\mathrm{.}5060\mathrm{.}5160\mathrm{.}494$

$30\mathrm{.}4960\mathrm{.}50\mathrm{.}5150\mathrm{.}488$

$40\mathrm{.}4950\mathrm{.}5060\mathrm{.}4830\mathrm{.}487$

$50\mathrm{.}4720\mathrm{.}5020\mathrm{.}5260\mathrm{.}469$

$60\mathrm{.}4730\mathrm{.}4950\mathrm{.}5070\mathrm{.}493$

$70\mathrm{.}4950\mathrm{.}5120\mathrm{.}490\mathrm{.}471$

$80\mathrm{.}5250\mathrm{.}5010\mathrm{.}4980\mathrm{.}474$

$90\mathrm{.}4970\mathrm{.}5010\mathrm{.}5170\mathrm{.}506$

$100\mathrm{.}4950\mathrm{.}5050\mathrm{.}5160\mathrm{.}511$

Group of answer choices

the X$-$bar chart is out of control and the R$-$chart is also out of control

X$-$bar chart is out of control but the R$-$chart is in control

the X$-$bar chart and the R$-$chart are both in control

the X$-$bar chart is in control but the R$-$chart is out of control