Q 2.a. [1 point] What do you think the data distribution look like for the histogram of the mean costs of imaging at Civic campus? Justify your answer.

Q2.b. [2 points] Suppose the analyst's calculations show that the mean cost of DI per patient at Civic campus is 213 CAD with standard deviation of 25 CAD. What is the probability that the mean cost of DI for the 50 patients that are randomly selection is more than 205 CAD?

Q2.c. [2.5 points] Suppose the analyst uses the data from 30 patients randomly selected from General campus and see the means of DI cost is 220 CAD with standard error of 28 CAD. What is the probability that mean costs of DI for patients at General hospital is more than mean costs of DI at Civic hospital (213 CAD)? For the purposes of answering this question you may assume that 213 CAD is a constant.

Q2.d [1 point] What assumptions you made about data distribution in Q2.c to be able to solve the question.