Question: The wingspan of adult female bald eagles has a mean of 84.5 inches and a standard deviation of 2.75 inches. A researcher unaware of this fact plans on estimating the wingspan of adult female bald eagles using the mean from a random sample of size 23 as a point estimate.

a) What is the distribution of all possible sample means?

b) What assumptions were made about the population when answering part (a)? Explain

c) Suppose that the sampling error will be considered acceptable as long as it is less than 1 inch. Determine the probability that the sampling error will be acceptable.

d) What effect would it have on the answer to part (C) if we increased our acceptable level of sampling error? Explain

e) Repeat part (C ) if the acceptable level of sampling error is 2 inches