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The in-control mean of the inside diameter of an "O" ring is u-1.45 inches. The in-control standard deviation is o=0.001 inch. Assume the inside diameters are normally distributed. 1) What are the "3 sigma" (i.e., a = 0.0026) control limits of the X-bar chart, if sample size n = 6. 2) If the specification limits are 1.45 + 0.0011, find the proportion of rejected O' rings when the process is in control.

The in-control mean of the inside diameter of an "O" ring is u-1.45 inches. The in-control standard deviation is o=0.001 inch. Assume the inside diameters are normally distributed. 1) What are the "3 sigma" (i.e., a = 0.0026) control limits of the X-bar chart, if sample size n = 6. 2) If the specification limits are 1.45 + 0.0011, find the proportion of rejected O' rings when the process is in control.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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The in-control mean of the inside diameter of an "O" ring is u-1.45 inches. The in-control standard deviation is o=0.001 inch. Assume the inside diameters are normally distributed. 1) What are the "3 sigma" (i.e., a = 0.0026) control limits of the X-bar chart, if sample size n = 6. 2) If the specification limits are 1.45 + 0.0011, find the proportion of rejected 'O' rings when the process is in control.
Transcribed Image Text:The in-control mean of the inside diameter of an "O" ring is u-1.45 inches. The in-control standard deviation is o=0.001 inch. Assume the inside diameters are normally distributed. 1) What are the "3 sigma" (i.e., a = 0.0026) control limits of the X-bar chart, if sample size n = 6. 2) If the specification limits are 1.45 + 0.0011, find the proportion of rejected 'O' rings when the process is in control.
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