Design specifications require that a key dimension on a product measure 100 ± 11 units. A process being considered for producing this product has a standard deviation of four 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 . Suppose the process average shifts to 92. Calculate the new process capability. (Round your answer to 4 decimal places.) New process capability 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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Design specifications require that a key dimension on a product measure 100 ± 11 units.
A process being considered for producing this product has a standard deviation of four
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
b. Suppose the process average shifts to 92. Calculate the new process capability.
(Round your answer to 4 decimal places.)
New process
capability
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
Transcribed Image Text:Design specifications require that a key dimension on a product measure 100 ± 11 units. A process being considered for producing this product has a standard deviation of four 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 b. Suppose the process average shifts to 92. Calculate the new process capability. (Round your answer to 4 decimal places.) New process capability 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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