Question
Let's consider the two most widely used college entrance exams - the SAT and the ACT. In 2014, the maximum possible SAT score was 2400
Let's consider the two most widely used college entrance exams - the SAT and the ACT. In 2014, the maximum possible SAT score was 2400 and the maximum possible ACT score was 36. Assume that both SAT and ACT scores are normally distributed.
- Susanne took the SAT in 2014 and scored 1920.
- In 2014, the mean SAT score was 2180 with a standard deviation of 260.
- Jonathan took the ACT in 2014 and scored 25.
- In 2014, the mean ACT score was 27 with a standard deviation of 4.
Who performed better, Susanne or Jonathan, relative to others who took the same standardized test in 2014, and why?
Group of answer choices
Susanne performed better relative to others who took the same standardized test in 2014 because her z-score is higher than Jonathan's.
Susanne performed better relative to others who took the same standardized test in 2014 because her z-score is closer to the standardized mean of 0.
Jonathan performed better relative to others who took the same standardized test in 2014 because his z-score is higher than Susanne's.
Jonathan and Susanne scored the same relative to others who took the same standardized test in 2014 because their z-scores are equal.
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