Design specifications require that a key dimension on a product measure 100 ± 12 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)
(b) Suppose the process average shifts to 91. 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 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)