a) Calculate the z-score for Roberto's test grade. b) Calculate the z-score for Derek's test grade. c) Which person did relatively better?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Use the Normal Distribution to Answer Questions 5-10
Roberto and Derek began arguing about who did better on their tests, but they couldn't decide who did
better given that they took different tests. Roberto took a test in Art History and earned a 72.8, and Derek
took a test in English and earned a 71.8. Use the fact that all the students' test grades in the Art History
class had a mean of 77 and a standard deviation of 9.6, and all the students' test grades in English had a
mean of 66.9 and a standard deviation of 10 to answer the following questions.
Round all z-scores to 2 decimals.
a) Calculate the z-score for Roberto's test grade.
2 =
b) Calculate the z-score for Derek's test grade.
2 =
c) Which person did relatively better?
Roberto
O Derek
O They did equally well.
Transcribed Image Text:Use the Normal Distribution to Answer Questions 5-10 Roberto and Derek began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Roberto took a test in Art History and earned a 72.8, and Derek took a test in English and earned a 71.8. Use the fact that all the students' test grades in the Art History class had a mean of 77 and a standard deviation of 9.6, and all the students' test grades in English had a mean of 66.9 and a standard deviation of 10 to answer the following questions. Round all z-scores to 2 decimals. a) Calculate the z-score for Roberto's test grade. 2 = b) Calculate the z-score for Derek's test grade. 2 = c) Which person did relatively better? Roberto O Derek O They did equally well.
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