A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to a particular quality attribute. Accordingly, she inspected $1,000$ units of output from each machine in random samples, with the following results

Machine Total Defectives

#$123$

#$215$

#$329$

#$413$

What are the control chart upper and lower control limits for an alpha risk of $\mathrm{.}05?$

Group of answer choices

$\mathrm{.}0272$ and $\mathrm{.}0128$

$\mathrm{.}0287$ and $\mathrm{.}0113$

$\mathrm{.}029$ and $\mathrm{.}013$

$\mathrm{.}0303$ and $\mathrm{.}0097$

$\mathrm{.}0332$ and $\mathrm{.}0068$