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# 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

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 is6inches. A random sample of22fish 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.)

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