A manager wishes to build a $3$ sigma mean control chart for a process. The mean of sample means is $15$ and the average range is $8\mathrm{.}2.$ From the table of control chart factors, the appropriate value of D$3$ is $0\mathrm{.}136,$ and D$4$ is $1\mathrm{.}864.$ The LCL and UCL for this chart are

Question $3$ options:

$1\mathrm{.}115$ and $15\mathrm{.}285$

$11\mathrm{.}941$ and $18\mathrm{.}059$

$0\mathrm{.}136$ and $1\mathrm{.}864$

$0\mathrm{.}000$ and $3\mathrm{.}059$

None of the above