In a learning experiment, untrained mice are placed in a maze and the time required for each mouse to exit the maze is recorded. The average time for untrained mice to exit the maze is ? = 50 seconds and the standard deviation of their times is ? = 16 seconds. 64 randomly selected untrained mice are placed in the maze and the time necessary to exit the maze is recorded for each.
What is the probability that the sample mean differs from the population mean by more than 3?