MECH. $5710$ SU$24$

ASSIGNMENT #$3$

A company has developed four different coating processes. The table below gives the specifications and the manufacturing process mean and standard deviation for each process.

a$.$ Please determine the $C_{pk},$ FTY $($First Time yield$)$ and the DPU $($Defects Per Unit, in PPM$)$ for each process.

b$.$ If each of these process coatings were applied sequentially to a single surface, show the overall $C_{pk},$ FTY$,$ and DPU $($in PPM$).$

TIP: Neither the Specifications nor the Mean and Sigma for each process has any units given. Do not assume that the numbers represent any particular physical attribute.

$\backslash$table$[[\backslash$table$[[$PROCESS$],[$NAME$]],$SPECIFICATIONS,PROCESS,PERFORMANCE$],[$NOM$.,$LSL$,$USL,MEAN,STDEV,Cpk$,$DPU,FTY$],[1.$ Mylar,$0,-0\mathrm{.}0007,0\mathrm{.}0007,0\mathrm{.}0005,0\mathrm{.}0120,,,],[2.$ Silicone,$0,-0\mathrm{.}0300,0\mathrm{.}0300,0\mathrm{.}0200,0\mathrm{.}0050,,,],[\backslash$table$[[3.$ Vapor$],[$Deposit$]],0,-0\mathrm{.}0100,0\mathrm{.}0100,0\mathrm{.}0030,0\mathrm{.}0020,,,],[4.$ Spray,$0,-0\mathrm{.}1000,0\mathrm{.}1000,0\mathrm{.}0050,0\mathrm{.}0020,,,],[$Overall$,,,,,,,,]]$

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