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a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?

a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Question 3 In 2005, 1,586,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean = 520 and standard deviation o = 115. a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?
Transcribed Image Text:Question 3 In 2005, 1,586,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean = 520 and standard deviation o = 115. a. Calculate the z-score for an SAT score of 720. Approximately how many students scored 720 or better? b. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?
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