Model HC $103,$ priced at $$4,500.$ Mean $=39\mathrm{.}60\%,$ standard deviation at $0\mathrm{.}85\%$

Model HE $53$ priced at $$3,000.$ Mean $=38\mathrm{.}50\%,$ standard deviation at $0\mathrm{.}65\%$

Model HX $204,$ priced at $$12,000.$ Mean $=38\mathrm{.}9\%,$ standard deviation at $0\mathrm{.}55\%$

All answers to $3$ significant figures

a$.$ What is the design tolerance $($difference from Upper to Lower Specification Limits$),$ from Tommy$$s specifications.

b$.$ What is Cp$,$ Cpk of the HC $103,$

c$.$ Cp$,$ Cpk of the HE $53,$

d$.$ Cp$,$ Cpk of HX $204,$

e$.$ Based on Cpk$,$ which moisture analyzer should Tommy be selecting