A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with diameters between 20.990 mm and 21.010 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 21.005 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 20.990mm and 21.000 mm? The proportion of shafts with diameter between 20.990 mm and 21.000 mm is . (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 . (Round to four decimal places as needed.) c. For this process, what is the diameter that will be exceeded by only 2.5% of the shafts? The diameter that will be exceeded by only 2.5% of the shafts is 17.0118 mm. (Round to four decimal places as needed.) d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft diameters were 0.006 mm? If the standard deviation is 0.006mm, the proportion of shafts with diameter between 20.990 mm and 21.000 mm is
A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with diameters between 20.990 mm and 21.010 mm are acceptable. The manufacturing process yields shafts with diameters
Complete parts (a) through (d) below.
a. For this process, what is the proportion of shafts with a diameter between 20.990mm and 21.000 mm?
The proportion of shafts with diameter between 20.990 mm and 21.000 mm is .
(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 .
(Round to four decimal places as needed.)
c. For this process, what is the diameter that will be exceeded by only 2.5% of the shafts?
The diameter that will be exceeded by only 2.5% of the shafts is 17.0118 mm.
(Round to four decimal places as needed.)
d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft diameters were 0.006 mm? If the standard deviation is 0.006mm, the proportion of shafts with diameter between 20.990 mm and 21.000 mm is
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