Problem $2(5$ Points$)$

XDoubleBar $=$

UCLx

$=$

LCLx

$=$

$**********$ PLEASE SHOW YOUR WORK $**********$

Problem $1(5$ Points$)$

Reject Rate $=$

b$)$ The company wants a target of Cp

$=$

RBar $=$

Spec. Limits $=$

An auto parts supplier has a target of Cp $=1\mathrm{.}00.$ The manufacturing process average $=102$ mils.

Product specification limits are $103\backslash$pm $4$ mils. $20$ samples are taken daily.

XDoubleBar $=$ UCLX

$=$

Cp

$=$ LCLX

$=$

Sample Size $=$

UCLR

$=$

Cpk $=$

LCLR

$=$

A production line consists of two machines. Injection molding and robot pick up$.$

Molding: Quality measured by the thickness of plastic tracked though a control chart. $(1$ Point$)$

Reject Rate $=$

Nominal $=$

USL $=$

LSL $=$

Total Process: Quality measured by all defects in the line of two machines, assume process

centered and two sided specification. $(2$ Points$)$

Robot: Quality measured by the defect rate obtained; using P chart, assume process centered and twosided specification limit$.(2$ Points$)$

Total Reject Rate:

Total Reject Rate