Professor Smith teaches Organic Chemistry, and he believes that the students on average earn 65% for this course. To test his belief, he recorded the final grades of his F21 class of 150 students and found the mean to be 59%. Suppose that the grades are normally distributed, and the standard deviation is 12. At =0.05, is the professor correct? Show all your work. a. [0.5 marks] State the null and alternative hypotheses. b. [1 mark] Calculate test statistic. c. [0.5 marks] Find the tabulated value and state a decision and conclusion.