Problem $6$: The US Treasury is assessing its process capability for minting quarters. with regard to weight, the specification width is $0\mathrm{.}006$ grams. the process is centered at the specification mean of $5\mathrm{.}27$ Grams with an upper control limit of $5\mathrm{.}272$ Grams and a lower control limit of $5\mathrm{.}268$ grams. what are:

a$.)$The upper specification limit$?$

b$.)$The lower specification limit$?$

c$.)$The processed width?

d$.)$The process capability index $?$