A manager wants to build $3$ control limits for a process that produces table legs. When stable, the mean of $20$ sample means of the process is $10$ inches, and the mean range of the sampres is $0\mathrm{.}10$ inches. If samples consists of $5$ legs the UCL and $LCL$ of the mean chart will be:

$10\mathrm{.}018$ and $9\mathrm{.}982$

$10\mathrm{.}058$ and $9\mathrm{.}942$

$0\mathrm{.}58$ and $-0\mathrm{.}58$

$0\mathrm{.}058$ and $-0\mathrm{.}018$