Question

Flextronchip, an OEM manufacturer, has a fifth-generation chip for cell phones, with chip specification of 0.2 ± 0.0002 mm for the distance between two adjacent pins. The loss due to a defective chip has been estimated as $36.

Required:

1. Compute the value of k, the cost coefficient in the Taguchi quality loss function (QLF), L(x) = k(x − T)².

2. Assume that the quality control manager takes a sample of 100 chips from the production process. The results are as follows:

Measurement	Frequency
0.1996		4
0.1997		5
0.1998		11
0.1999		10
0.2000		45
0.2001		9
0.2002		7
0.2003		5
0.2004		4

a. & b. Use the appropriate Taguchi quality loss function, L(x), to calculate the estimated quality loss for each of the observed measurements. Additionally, calculate the expected (i.e., average) loss per unit for the production process as a whole.

Complete this question by entering your answers in the tabs below.

Assume that the quality control manager takes a sample of 100 chips from the production process.

a. & b. Use the appropriate Taguchi quality loss function, L(x), to calculate the estimated quality loss for each of the observed measurements. Additionally, calculate the expected (i.e., average) loss per unit for the production process as a whole. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

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	x Quality Loss L(x) Probability f(x) Expected Loss 0.1996 0.04 0.1997 0.05 0.1998 0.11 0.1999 0.10 0.2000 0.45 0.2001 0.09 0.2002 0.07 0.2003 0.05 0.2004 0.04 1.00

Answer 1