19. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally

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19. Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation

.85 (suggested in Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants, Water Res., 1984: 1169—1174).

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 2.65 and 3.00?

b. How large a sample size would be required to ensure that the rst probability in part

(a) is at least .99?

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