read # 3: Solve the following problem by using the Central Limit Theorem. A mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the population standard deviation equals $3,204 and 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is between $24,000 and $26,000. a) Shade the desired area. ( 3 points) b) Convert the X values to z values. ( 3 points) c) Find the corresponding area for the z values. (4 points)