The SAT or ACT, standardized tests are used in the college admission process. Combined SAT scores can go as high as 1600, while the maximum ACT composite score is 36. Since the two exams use very different scales, comparisons of performance are difficult. Assume that one year the combined SAT shows a mean of 1100 with a standard deviation (S.D) of 210. The ACT scores show an average of 28 with a S.D of 4. If an applicant to a university has taken the SAT and scored 1250, and another student has taken the ACT and scored 31, compare these students’ scores. Which student has a higher relative score? Be sure to numerically justify (show work) your answer.
The SAT or ACT, standardized tests are used in the college admission process. Combined SAT scores can go as high as 1600, while the maximum ACT composite score is 36. Since the two exams use very different scales, comparisons of performance are difficult. Assume that one year the combined SAT shows a mean of 1100 with a standard deviation (S.D) of 210. The ACT scores show an average of 28 with a S.D of 4. If an applicant to a university has taken the SAT and scored 1250, and another student has taken the ACT and scored 31, compare these students’ scores. Which student has a higher relative score? Be sure to numerically justify (show work) your answer.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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The SAT or ACT, standardized tests are used in the college admission process. Combined SAT scores can go as high as 1600, while the maximum ACT composite score is 36. Since the two exams use very different scales, comparisons of performance are difficult. Assume that one year the combined SAT shows a mean of 1100 with a standard deviation (S.D) of 210. The ACT scores show an average of 28 with a S.D of 4. If an applicant to a university has taken the SAT and scored 1250, and another student has taken the ACT and scored 31, compare these students’ scores. Which student has a higher relative score? Be sure to numerically justify (show work) your answer.
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