What is the value of k in the taguchi loss function


Assignment:

You're managing an aluminum coating process and the specifications call for 25 +/- .3 grams of anodizing coating for each fabricated component. A sample of 50 components were drawn with the coating results, in grams, shown below. Too much coating is as detrimental to the project as too little and you've calculated that it costs $60.00 to scrap a defective coating. The results below

25.0420

25.8750

25.8910

25.3810

24.6040

 

24.7770

25.9860

24.5410

24.6470

24.8460

 

25.1670

24.3680

25.5090

24.7310

25.4070

 

24.1200

25.2890

24.5230

25.1860

25.0290

 

24.6690

24.8810

25.2620

25.4380

25.2180

 

24.8250

25.3010

24.8680

25.1980

25.4550

 

24.7630

24.9140

25.0670

25.6620

25.2270

 

25.5640

25.5930

24.8110

25.3290

25.8350











a. What is the value of K in the Taguchi Loss function?

b. What is the expected loss, per unit, of this sample?

c. On a separate sheet of paper (MS Word document), briefly (one page, double spaced) describe how the Tagushi Loss Theorem supports the primary goal of Deming's Quality Philosophy.

(this philosophy was consistent with Joseph Juran, Phillip Crosby and other quality practitioners)

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