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 $28.   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 2 0.1997 6 0.1998 14 0.1999 9 0.2000 45 0.2001 9 0.2002 8 0.2003 5 0.2004 2   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

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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 $28.

 

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 2
0.1997 6
0.1998 14
0.1999 9
0.2000 45
0.2001 9
0.2002 8
0.2003 5
0.2004 2

 

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.

Required 1
Required 2
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.)
Show less A
Quality
LossL(x)
Probability
f(x)
Expected
Loss
0.1996
0.02
0.1997
0.06
0.1998
0.14
0.1999
0.09
0.2000
0.45
0.2001
0.09
0.2002
0.08
0.2003
0.05
0.2004
0.02
1.00
Transcribed Image Text:Required 1 Required 2 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.) Show less A Quality LossL(x) Probability f(x) Expected Loss 0.1996 0.02 0.1997 0.06 0.1998 0.14 0.1999 0.09 0.2000 0.45 0.2001 0.09 0.2002 0.08 0.2003 0.05 0.2004 0.02 1.00
Required 1
Required 2
Compute the value of k, the cost coefficient in the Taguchi quality loss function (QLF), L(x) = k(x – T)2. (Do not round
intermediate calculations. Round your answer to the nearest whole dollar amount.)
Value of k
Transcribed Image Text:Required 1 Required 2 Compute the value of k, the cost coefficient in the Taguchi quality loss function (QLF), L(x) = k(x – T)2. (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.) Value of k
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