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Mathematics, 30.05.2020 08:58 colemason223

Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.62 and standard deviation 0.86.

(a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.62 and 3.00?

(b) How large a sample size would be required to ensure that the probability in part (a) is at least 0.99?

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