0 14. (8 points) The average diameter of sand dollars on a certain island is 4.50 centimeters with a standard deviation of 1.00 centimeters. A sample of 9 sand dollars are chosen at random for a collection. Assume that the variable is normally distributed. (a) What is the sampling distribution of the mean number of centimeters of these 9 sand dollars? (i.e., What is the sampling distribution of 2??) n=_____ #=_ #22: O'= 0.72: (b) Find the probability that the average diameter of those sand dollars is more than 4.13 centimeters