A large tank of fish from a hatchery is being delivered to alake. The hatchery claims that the mean length of fish in the tankis 15 inches, and the standard deviation is 3 inches. A randomsample of 20 fish is taken from the tank. Let x be themean sample length of these fish. What is the probability thatx is within 0.5 inch of the claimed population mean?(Round your answer to four decimal places.)
