specimen from a certain region is nor mean 2.65 and standard deviatio: "Modeling Sediment and Water Co Hydrophobic Pollutants," Water Resear a. If a random sample of 25 specime the probability that the sample ave

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54. 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 Research, 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 first probability in part (a) is at least .99?
Transcribed Image Text:54. 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 Research, 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 first probability in part (a) is at least .99?
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