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c. For this process, what is the diameter that will be exceeded by only 0.5% of the shafts?

c. For this process, what is the diameter that will be exceeded by only 0.5% of the shafts?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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9 Part c
# Manufacturing Shaft Diameter Analysis A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with diameters between 20.991 mm and 21.009 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 21.002 mm and a standard deviation of 0.006 mm. ### Analysis: #### a. Proportion of Shafts within 20.991 mm and 21.000 mm The proportion of shafts with diameters between 20.991 mm and 21.000 mm is **0.3371**. *(Rounded to four decimal places as needed.)* #### b. Probability of an Acceptable Shaft The probability that a shaft is acceptable (diameter between 20.991 mm and 21.009 mm) is **0.8449**. *(Rounded to four decimal places as needed.)* #### c. Diameter Exceeded by Only 0.5% of Shafts The diameter that will be exceeded by only 0.5% of the shafts is determined but not specified in the given text. *(Rounded to four decimal places as needed.)*
Transcribed Image Text:# Manufacturing Shaft Diameter Analysis A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with diameters between 20.991 mm and 21.009 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 21.002 mm and a standard deviation of 0.006 mm. ### Analysis: #### a. Proportion of Shafts within 20.991 mm and 21.000 mm The proportion of shafts with diameters between 20.991 mm and 21.000 mm is **0.3371**. *(Rounded to four decimal places as needed.)* #### b. Probability of an Acceptable Shaft The probability that a shaft is acceptable (diameter between 20.991 mm and 21.009 mm) is **0.8449**. *(Rounded to four decimal places as needed.)* #### c. Diameter Exceeded by Only 0.5% of Shafts The diameter that will be exceeded by only 0.5% of the shafts is determined but not specified in the given text. *(Rounded to four decimal places as needed.)*
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