Assignment: $,1.$ In a shoe factory, a machine is used to cut insoles for the company's top$-$of$-$the$-$line running shoes. The company's goal is no more than $3\mathrm{.}4$ defects per million. The insoles cannot be more than $+/-0\mathrm{.}002$ of an inch from the specification of $0\mathrm{.}250$ inch. The new process has a mean of $0\mathrm{.}250$ inch and a standard deviation $($within$)=0\mathrm{.}0005$ inch. Determine the $C_{pk}.$ Would you replace the existing machine?

$2.$ What is the advantage of determining $P_{pk}$ over $P_p?$ Explain with an example.

$3.$ Define acceptance inspection, process inspection, final inspection, and shipping inspection.

$4.$ Write down the differences between destructive and non$-$destructive inspections. Which one is appropriate for $100\%$ inspection? Explain your answer.

$5.$ Sort out following inspection technologies into destructive and non$-$destructive types:

A$.$ Dimensional inspection using profilometer

B$.$ Liquid dye penetrant inspection

C$.$ Determining hardness using Rockwell hardness tester

D$.$ Measuring toughness using impact tester

E$.$ Eddy current inspection

$6.$ Write down the differences between DMAIC and DMADV.

$7.$ For a motor$-$driven kitchen appliance, customers have following requirements $($ratings of requirements are given based on their preferences$)$:

I. Broad range of features $(5)$

II$.$ Modern design $(2)$

III. Durable quality $(3)$

IV$.$ Portability $(4)$

V$.$ Low power consumption $(3)$

VI$.$ Safety $(5)$

To meet these criteria, designers have following requirements $($which one should be maximized uarr and minimized darr are mentioned as well$)$:

I. Motor power $($ uarr $)$

II$.$ Blade sharpness $($ uarr $)$

III. Weight $($ darr $)$

IV$.$ Size $($ darr $)$

V$.$ Controller IC $($ uarr $)$

VI$.$ Surface finish $($ uarr $)$

Draw a house of quality table for this appliance.