Peregrine falcons were placed on the U.S. Endangered Species list in the 1970s. Their population dwindled primarily as a result of the introduction of new chemicals and pesticides. Although it may...

Peregrine falcons were placed on the U.S. Endangered Species list in the 1970s. Their population dwindled primarily as a result of the introduction of new chemicals and pesticides. Although it may seem like a peculiar nesting area, there are many falcon pairs in the New York City area. The tall buildings and bridges provide lots of open space for hunting. These birds have a wingspan of 3.3 to 3.6 feet and weigh between 18.8 and 56.5 ounces. A random sample of 35 falcons was obtained and each was carefully weighed. The sample mean was x = 47.3 ounces. Assume s = 6.2 ounces.

a. Find a 95% confidence interval for the true mean weight of peregrine falcons.

b. Using your answer from part (a), is there any evidence to suggest that the mean weight is less than 48 ounces?

Representative Bill Cassidy has become concerned about the disparity in home prices in Louisiana’s 6th district (Monroe). A random sample of homes sold within the past year in each of two parishes was obtained. The summary statistics are given in the table below. Prices are in dollars.

a. Find a 99% confidence interval for the mean selling price of all homes in East Feliciana Parish.

 b. Find a 99% confidence interval for the mean selling price of all homes in Iberville Parish.

 c. Using the confidence intervals in parts (a) and (b), is there any evidence to suggest that the mean selling price is different for the two parishes? Justify your answer.