A manager wishes to build a $3-$sigma range chart for a process. The sample size is five, the mean of sample means is $16\mathrm{.}01,$ and the average range is $5\mathrm{.}3.$ From Table S$6\mathrm{.}1,$ the appropriate value of D$3$ is $0,$ and D$4$ is $2\mathrm{.}115.$ What are the UCL and LCL$,$ respectively, for this range chart?

Group of answer choices

$11\mathrm{.}2$ and $0$

$33\mathrm{.}9$ and $11\mathrm{.}2$

$33\mathrm{.}9$ and $0$

$6\mathrm{.}3$ and $0$

$31\mathrm{.}91$ and $\mathrm{.}11$