Rebecca and Emma began arguing about who did better on their tests, but they couldn't decide who did be given that they took different tests. Rebecca took a test in English and earned a 71, and Emma took a test Social Studies and earned a 70.4. Use the fact that all the students' test grades in the English class had a m of 71.5 and a standard deviation of 10.7, and all the students' test grades in Social Studies had a mean of 6 and a standard deviation of 9.5 to answer the following questions. a) Calculate the z-score for Rebecca's test grade. b) Calculate the z-score for Emma's test grade. c) Which person did relatively better? Rebecca Emma They did egually well

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Rebecca and Emma began arguing about who did better on their tests, but they couldn't decide who did better
given that they took different tests. Rebecca took a test in English and earned a 71, and Emma took a test in
Social Studies and earned a 70.4. Use the fact that all the students' test grades in the English class had a mean
of 71.5 and a standard deviation of 10.7, and all the students' test grades in Social Studies had a mean of 64.1
and a standard deviation of 9.5 to answer the following questions.
a) Calculate the z-score for Rebecca's test grade.
b) Calculate the z-score for Emma's test grade.
= Z
c) Which person did relatively better?
Rebecca
O Emma
O They did equally well.
Transcribed Image Text:Rebecca and Emma began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rebecca took a test in English and earned a 71, and Emma took a test in Social Studies and earned a 70.4. Use the fact that all the students' test grades in the English class had a mean of 71.5 and a standard deviation of 10.7, and all the students' test grades in Social Studies had a mean of 64.1 and a standard deviation of 9.5 to answer the following questions. a) Calculate the z-score for Rebecca's test grade. b) Calculate the z-score for Emma's test grade. = Z c) Which person did relatively better? Rebecca O Emma O They did equally well.
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