A large tank of fish from a hatchery is being delivered to a

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 5 inches. A random sample of 47 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)

Solution

This distribution will have a mean of 15 and a standard deviation of 6/?24= 1.225.

You want to find the probability that x is between 14.5 and 15.5.

Find the z scores and the corresponding areas and subtract.