Ermias and Trinidad began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Ermias took a test in Art History and earned a 76.5, and Trinidad took a test in Social Studies and earned a 70.8. Use the fact that all the students' test grades in the Art History class had a mean of 76.7 and a standard deviation of 10.5, and all the students' test grades in Social Studies had a mean of 64.5 and a standard deviation of 8.1 to answer the following questions. a) Calculate the z-score for Ermias's test grade. [Round your answer to two decimal places.] b) Calculate the z-score for Trinidad's test grade. z = They did equally well. [Round your answer to two decimal places.] c) Which person did relatively better? O Ermias O Trinidad

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Ermias and Trinidad began arguing about who did better on their tests, but they couldn't decide who did
better given that they took different tests. Ermias took a test in Art History and earned a 76.5, and Trinidad
took a test in Social Studies and earned a 70.8. Use the fact that all the students' test grades in the Art
History class had a mean of 76.7 and a standard deviation of 10.5, and all the students' test grades in Social
Studies had a mean of 64.5 and a standard deviation of 8.1 to answer the following questions.
a) Calculate the z-score for Ermias's test grade.
z =
[Round your answer to two decimal places.]
b) Calculate the z-score for Trinidad's test grade.
z =
Trinidad
O They did equally well.
[Round your answer to two decimal places.]
c) Which person did relatively better?
O Ermias
Transcribed Image Text:Ermias and Trinidad began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Ermias took a test in Art History and earned a 76.5, and Trinidad took a test in Social Studies and earned a 70.8. Use the fact that all the students' test grades in the Art History class had a mean of 76.7 and a standard deviation of 10.5, and all the students' test grades in Social Studies had a mean of 64.5 and a standard deviation of 8.1 to answer the following questions. a) Calculate the z-score for Ermias's test grade. z = [Round your answer to two decimal places.] b) Calculate the z-score for Trinidad's test grade. z = Trinidad O They did equally well. [Round your answer to two decimal places.] c) Which person did relatively better? O Ermias
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