A machine drills hole in a pipe with a mean diameter of $0\mathrm{.}532$ cm and a standard deviation of $0\mathrm{.}002$

cm $.$ Calculate the control limits for a mean of samples $5.$

a$)$ UCL $-$ LCL: $0\mathrm{.}5346-0\mathrm{.}5293$

b$)$ UCL $-$ LCL : $0\mathrm{.}6346-0\mathrm{.}5293$

c$)$ UCL $-$ LCL : $0\mathrm{.}5346-0\mathrm{.}6293$

d$)$ UCL $-$ LCL : $0\mathrm{.}4346-0\mathrm{.}6293$