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Assume that among the population it takes an average of 90 minutes to finish a certain hike. Further assume that the population standard deviation is

Assume that among the population it takes an average of 90 minutes to finish a certain hike. Further assume that the population standard deviation is 25 minutes.

a) What's the probability that a simple random sample of 20 individuals will provide a sample mean within 10 minutes of the population average?

b) What's the probability that a simple random sample of 30 individuals will provide a sample mean within 10 minutes of the population average?

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