63. X control charts are used to maintain control of the manufacture of the cases used to house a generic brand of personal computer. Separate charts are maintained for length, width, and height. The length chart has UCL = 20.5 inches, LCL = 19.5 inches, and a target value of 20 inches. This chart is based on using subgroups of size 4 and three- sigma limits. However, the customer's specifications require that the target length should be 19.75 inches with a tolerance of ±0.75 inch. What percentage of the cases shipped will fall outside the customer's specifications?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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63. X control charts are used to maintain control of the manufacture of the cases used to
house a generic brand of personal computer. Separate charts are maintained for length,
width, and height. The length chart has UCL = 20.5 inches, LCL = 19.5 inches, and a
target value of 20 inches. This chart is based on using subgroups of size 4 and three-
sigma limits. However, the customer's specifications require that the target length
should be 19.75 inches with a tolerance of ±0.75 inch. What percentage of the
cases shipped will fall outside the customer's specifications?
Transcribed Image Text:63. X control charts are used to maintain control of the manufacture of the cases used to house a generic brand of personal computer. Separate charts are maintained for length, width, and height. The length chart has UCL = 20.5 inches, LCL = 19.5 inches, and a target value of 20 inches. This chart is based on using subgroups of size 4 and three- sigma limits. However, the customer's specifications require that the target length should be 19.75 inches with a tolerance of ±0.75 inch. What percentage of the cases shipped will fall outside the customer's specifications?
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