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Design specifications require that a key dimension on a product measure 104 ± 12 units. A...

Design specifications require that a key dimension on a product measure 104 ± 12 units. A process being considered for producing this product has a standard deviation of three units.

a. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. (Round your answer to 4 decimal places.)

b. Suppose the process average shifts to 96. Calculate the new process capability. (Round your answer to 4 decimal places.)
c. What is the probability of defective output after the process shift? (Use Excel's NORM.S.DIST() function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.)

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