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Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.
a) Calculate the z-score for Logan's test grade.
z=z= [Round your answer to two decimal places.]
b) Calculate the z-score for Brian's test grade.
z=z= [Round your answer to two decimal places.]
c) Which person did relatively better?
- Logan
- Brian
- They did equally well.
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