Rods are mass produced by a machine. The specification required the length of each rod to be between 42.49 cm and 42.51 cm. The machine produces rods whose lengths are normally distributed with standard deviation 0.005 cm. a) b) Determine the percentage of rods produced which would be rejected if the machine is set that the mean length of the rods is 42.501 cm. c) Determine the mean length the machine must be set so that only 3 rods in 1,000 will be of length less than 42.494 cm. If there is a need to reduce the total percentage of rejects (oversize and undersize) what should be the mean setting of the machine? You are required to show the normal distribution curve to determine the answer for Part (a) and (b).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Rods are mass produced by a machine. The specification required the length of each rod to be between
42.49 cm and 42.51 cm. The machine produces rods whose lengths are normally distributed with
standard deviation 0.005 cm.
a)
b)
Determine the percentage of rods produced which would be rejected if the machine is set so that
the mean length of the rods is 42.501 cm.
c)
Determine the mean length the machine must be set so that only 3 rods in 1,000 will be of length
less than 42.494 cm.
If there is a need to reduce the total percentage of rejects (oversize and undersize) what should
be the mean setting of the machine?
You are required to show the normal distribution curve to determine the answer for Part (a) and (b).
Transcribed Image Text:Rods are mass produced by a machine. The specification required the length of each rod to be between 42.49 cm and 42.51 cm. The machine produces rods whose lengths are normally distributed with standard deviation 0.005 cm. a) b) Determine the percentage of rods produced which would be rejected if the machine is set so that the mean length of the rods is 42.501 cm. c) Determine the mean length the machine must be set so that only 3 rods in 1,000 will be of length less than 42.494 cm. If there is a need to reduce the total percentage of rejects (oversize and undersize) what should be the mean setting of the machine? You are required to show the normal distribution curve to determine the answer for Part (a) and (b).
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