A hand is a traditional unit used to measure the height of a horse. One hand is four inches, and the height of a horse is measured from the ground to the horse’s shoulder. A random sample of horses...

A hand is a traditional unit used to measure the height of a horse. One hand is four inches, and the height of a horse is measured from the ground to the horse’s shoulder. A random sample of horses sold at auctions around the country revealed the following heights (in hands).

a. Find a point estimate for the population mean height of all horses sold at auctions.

b. Find a point estimate for the population median height of all horses sold at auctions.

c. Find a point estimate for the population variance of the height of all horses sold at auctions.

d. Any horse with a height less than 14.5 hands is considered short. Find a point estimate for the true proportion of short horses sold at auctions.

During the first few weeks of January every year, biologists associated with the U.S. Fish and Wildlife Service and the Maryland Department of Natural Resources physically count ducks, geese, and swans near the Chesapeake Bay. In 2013 these scientists counted 175,500 ducks, of which 33,100 were Mallards.1 Find a point estimate for the proportion of Mallards that were observed during the 2013 winter duck count.