MM 16 The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $2,400 and the standard deviation is $550. The distribution is skewed to the right due to several high volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average amount collected from those days was recorded. Round to four decimal places. a) Describe the sampling distribution of the sample mean. Show work. [3 points] b) Find the probability that a randomly selected 100 days has an average amount collected exceeded $2500. Show work. [3 points]