Question $5$

The specification for a plastic liner for concrete highway projects calls for a thickness of $6\mathrm{.}0mm+-0\mathrm{.}1mm.$ The standard deviation of the process is estimated to be $0\mathrm{.}02mm.$ The process is known to operate at a mean thickness of $6\mathrm{.}03mm.$

a$)$ What are the upper and lower specification limits for this product?

b$)$ What is the $C_p$ and $C_{pk}$ for this process?

c$)$ About what percent of all units of this liner will meet specifications?

d$)$ What is the fallout level?