Problem 13-5 Design specifications require that a key dimension on a product measure 101 ± 8 units. A process being considered for producing this product has a standard deviation of five 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.) Process capability = 0.5333 b. Suppose the process average shifts to 98. Calculate the new process capability. (Round your answer to 4 decimal places.) New process capability = 0.3333 c. What is the probability of defective output after the process shift? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round "z" value to 2 decimal places and final answer to 4 decimal places.) PROBABILITY OF DEFECTIVE OUTPUT? ____________
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The Z value is the number of standard deviations a data point is from the mean. In this case, the mean has shifted to 98, and we know the standard deviation is 5 units. The upper specification limit is 109 (101 + 8) and the lower specification limit is 93 (101 - Show more…
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