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Problem 10-21 Design specifications require hat a key dimension on a produc meas

ID: 423010 • Letter: P

Question

Problem 10-21 Design specifications require hat a key dimension on a produc measure 06 ± 11 un s. A process being considered for uc ng his product has a standard devia on of our units ro 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.) Process capability index b. Suppose the process average shifts to 97. Calculate the new process capability. (Round your answer to 4 decimal places.) New process capability index 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 probabilities to 4 decimal places (0-###.) Probability of defective output

Explanation / Answer

a) Process capability index = upper - lower /6* Standard Deviation

22/6*4 =0.91

b) 97/4 = 24.25

c ) 1/ (106-97) = 0.11

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