Danielle and Jane began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Danielle took a test in Art History and earned a 75.4, and Jane took a test in Social Studies and earned a 65.2. Use the fact that all the students' test grades in the Art History class had a mean of 74.1 and a standard deviation of 11.8, and all the students' test grades in Social Studies had a mean of 66.3 and a standard deviation of 9.9 to answer the following questions.

a)Calculate the z-score for Danielle's test grade.

z

=

z=

b)Calculate the z-score for Jane's test grade.

z

=

z=

c)Which person did relatively better?

• Danielle
• Jane
• They did equally well.