Patricia and Whitney began arguing about who did better on their tests, but they couldn’t decide who did better given that they took different tests. Patricia took a test in English and earned a 76.5, and Whitney took a test in Math and earned a 64.5. Use the fact that all the students’ test grades in the English class had a mean of 73.1 and a standard deviation of 10.5, and all the students’ test grades in Math had a mean of 60.9 and a standard deviation of 10.7 to answer the following questions.
a. Calculate the Z-score for Kimberly’s test grade.
b. Calculate the z-score for Karina’s test grade.
c. Which person did relatively better?