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

Question:

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?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: