A) The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random conform to the specifications on voltage? B) Continuation of A. Reconsider the power supply manufacturing process in A. Suppose We wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability need to be reduced in order to have all but one out of 1000 units conform to the specifications?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A) The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If
the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a
power supply selected at random conform to the specifications on voltage?
B)
Continuation of A. Reconsider the power supply manufacturing process in A. Suppose
We wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced?
How much would the process variability need to be reduced in order to have all but one out of 1000 units conform
to the specifications?
Transcribed Image Text:A) The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random conform to the specifications on voltage? B) Continuation of A. Reconsider the power supply manufacturing process in A. Suppose We wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability need to be reduced in order to have all but one out of 1000 units conform to the specifications?
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