Design specifications require that a key dimension on a product measure 100kg plus and minus 3kg. If the value of the quality exceeds the target by the tolerance of 3kg on either side, the product will be likely to fail during the warranty period and cost $480 for repair. A process being considered for producing this product has a standard deviation of 1.5kg A) Compute the process capability ratio if the process is centered. Is it capable to meet the quality specification? Explain. B) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable? C) What is the average loss per unit after the shift as in (part b)? Use Taguchi loss function for multi-products case
Design specifications require that a key dimension on a product measure 100kg plus and minus 3kg. If the value of the quality exceeds the target by the tolerance of 3kg on either side, the product will be likely to fail during the warranty period and cost $480 for repair. A process being considered for producing this product has a standard deviation of 1.5kg
A) Compute the process capability ratio if the process is centered. Is it capable to meet the quality specification? Explain.
B) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable?
C) What is the average loss per unit after the shift as in (part b)? Use Taguchi loss function for multi-products case
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