A specification for the length of an auto part at Adams Metal Fabricating is 15.0 ± 1.75 centimeters (cm). It costs $56 to scrap a part. Determine the Taguchi loss function. Then determine the expected loss if the process mean is found to be 15.03 cm with a variance of 0.49 cm2.
Ans:
Taguchi Loss Function:
Expected Loss:
Calculations are hand written:
Taguchi Loss Function:
L(x) = 18.29 ( x - T )²
Expected Loss = $8.98
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