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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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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9 Part c
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. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 20.991 mm and 21.000 mm? The proportion of shafts with diameter between 20.991 mm and 21.000 mm is 3371 (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is 8449 (Round to four decimal places as needed.) re c. For this process, what is the diameter that will be exceeded by only 0.5% of the shafts? issi The diameter that will be exceeded by only 0.5% of the shafts is mm (Round to four decimal places as needed.) ion 1 tion 5 stion 9
Transcribed Image Text: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. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 20.991 mm and 21.000 mm? The proportion of shafts with diameter between 20.991 mm and 21.000 mm is 3371 (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is 8449 (Round to four decimal places as needed.) re c. For this process, what is the diameter that will be exceeded by only 0.5% of the shafts? issi The diameter that will be exceeded by only 0.5% of the shafts is mm (Round to four decimal places as needed.) ion 1 tion 5 stion 9
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