The average running times of disks produced by Company X is 88.1 minutes and a standard deviation of 6.1 minutes, while those of Company Y have a mean running times of 99.3 minutes with standard deviation of 13.6 minutes. Assume the populations are approximately normally distributed. What is the probability that a random sample of 41 disks from Company Y will have mean running times that at most 15 minutes more than the mean running times of a random sample of 32 disks from Company X ?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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The average running times of disks produced by Company X is 88.1 minutes
and a standard deviation of 6.1 minutes, while those of Company Y have a
mean running times of 99.3 minutes with standard deviation of 13.6 minutes.
Assume the populations are approximately normally distributed. What is the
probability that a random sample of 41 disks from Company Y will have
mean running times that at most 15 minutes more than the mean running times
of a random sample of 32 disks from Company X ?
Transcribed Image Text:The average running times of disks produced by Company X is 88.1 minutes and a standard deviation of 6.1 minutes, while those of Company Y have a mean running times of 99.3 minutes with standard deviation of 13.6 minutes. Assume the populations are approximately normally distributed. What is the probability that a random sample of 41 disks from Company Y will have mean running times that at most 15 minutes more than the mean running times of a random sample of 32 disks from Company X ?
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