A manager wishes to build a $3-$sigma range chart for a process. The sample size is five, the mean of sample means is $41\mathrm{.}25,$ and the average

range is $3\mathrm{.}90.$ 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?

$($Do not round intermediate calculations. Round final answer to two decimal places.$)$

A$.22\mathrm{.}37$ and $0\mathrm{.}00$

B$.8\mathrm{.}25$ and $0\mathrm{.}00$

C$.45\mathrm{.}15$ and $37\mathrm{.}35$

D$.52\mathrm{.}95$ and $29\mathrm{.}55$

E$.6\mathrm{.}02$ and $1\mathrm{.}79$