Question: A student is enrolled in an introductory programming class and a communications class at the university. If the student in the programming class takes a midterm exam and earns a score of 76, while the student in communications class takes a midterm exam and earns a score of 72. In the programming class, the class mean was 64 and the standard deviation was 8. In the communications class, the class mean was 60 with a standard deviation of 7.5.

In which class did the student perform better compared to the rest of the students in the class? Show your work to support your decision. Assume test scores are normally distributed. (2 points each)

(Hint: How many standard deviations are the student’s midterm scores away from the respective class means?)

a. Programming Class Z-score

b. Communications Class Z-score

c. Explain which student did better and why