Psychology professor Yataha is conducting a learning experiment in which mice are trained to find their way around a maze. The base of the maze is square. A mouse enters the maze at one of the four corners and must find its way through the maze to exit at the same corner it entered. The design of the maze is such that the mouse must pass by each of the remaining three corner points exactly once before it exits. The multipaths of the maze connect the four corners in a strict clockwise order. Professor Yataha estimates that the time the mouse takes to reach one corner point from another is uniformly distributed between 10 and 20 seconds, depending on the path it takes.

(a) Develop a sampling procedure for the time a mouse spends in the maze and use a spreadsheet to determine the average time in the maze and its 95% confidence interval based on an experiment involving one mouse trying the maze 10 consecutive times.

(b) Suppose that once a mouse makes an exit from the maze, another mouse instantly enters. Use one observation to estimate how many mice exit the maze in a 10-minute period.