4. Shafts manufactured for use in optical storage devices have diameters that are normally distributed with mean µ = 0.659 cm and standard deviation o= 0.003 com. The specification for the shaft diameter is 0.652 ± 0.006 cm. a) What proportion of the shafts manufactured by this process meet the specifications b) The process mean can be adjusted through calibration. If the mean is set to 0.651 cm, what proportion of the shafts will meet specifications? c) If the mean is set to 0.651 cm, what must the standard deviation be so that 92% of the shafts will meet specifications?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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4. Shafts manufactured for use in optical storage devices have
diameters that are normally distributed with mean μ = 0.659
cm and standard deviation o = 0.003 com. The specification
for the shaft diameter is 0.652 ± 0.006 cm.
a) What proportion of the shafts manufactured by this process
meet the specifications
b) The process mean can be adjusted through calibration. If the
mean is set to 0.651 cm, what proportion of the shafts will
meet specifications?
c) If the mean is set to 0.651 cm, what must the standard deviation
be so that 92% of the shafts will meet specifications?
Transcribed Image Text:4. Shafts manufactured for use in optical storage devices have diameters that are normally distributed with mean μ = 0.659 cm and standard deviation o = 0.003 com. The specification for the shaft diameter is 0.652 ± 0.006 cm. a) What proportion of the shafts manufactured by this process meet the specifications b) The process mean can be adjusted through calibration. If the mean is set to 0.651 cm, what proportion of the shafts will meet specifications? c) If the mean is set to 0.651 cm, what must the standard deviation be so that 92% of the shafts will meet specifications?
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