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The time a student sleeps per night has a distribution with mean 6.06 hours and a standard deviation of 0.55 hours. Find the probability that

The time a student sleeps per night has a distribution with mean 6.06 hours and a standard deviation of 0.55 hours. Find the probability that average sleeping time for a randomly selected sample of 35 students is more than 6.15 hours per night. (round to 4 decimal places)

The time a student sleeps per night has a distribution with mean 5.98 hours and a standard deviation of 0.35 hours. Find the probability that average sleeping time for a randomly selected sample of 50 students is more than 6.05 hours per night. (round to 4 decimal places)

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