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Dr. Davis' students historically spend a mean time of 8.5 hours with a standard deviation of 2.5 hours studying statistics per week. Find the probability

Dr. Davis' students historically spend a mean time of 8.5 hours with a standard deviation of 2.5 hours studying statistics per week. Find the probability that the mean time spent studying statistics per week for a random sample of 45 students taking statistics from Dr. Davis this semester would be

between 8 and 9 hours
less than 8 hours
what assumptions or theories did you use to solve this problem?

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