The average running times of disks produced by Company A is 88.1 minutes and a standard deviation of 6.1 minutes, while Company B obtained a mean running times of 99.3 minutes with a standard deviation of 13.6 minutes. Assume the population are approximately normally distributed. Solve the probability when a random sample of 41 disks from Company B has a mean running times that at most 15 minutes more than the mean running times of a random sample of 32 disks from Company A.

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The average running times of disks produced by Company A is 88.1 minutes
and a standard deviation of 6.1 minutes, while Company B obtained a mean
running times of 99.3 minutes with a standard deviation of 13.6 minutes.
Assume the population are approximately normally distributed. Solve the
probability when a random sample of 41 disks from Company B has a mean
running times that at most 15 minutes more than the mean running times of a
random sample of 32 disks from Company A.
Transcribed Image Text:The average running times of disks produced by Company A is 88.1 minutes and a standard deviation of 6.1 minutes, while Company B obtained a mean running times of 99.3 minutes with a standard deviation of 13.6 minutes. Assume the population are approximately normally distributed. Solve the probability when a random sample of 41 disks from Company B has a mean running times that at most 15 minutes more than the mean running times of a random sample of 32 disks from Company A.
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