Question

Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT

Answer 1

Answer:

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Step-by-step explanation:

Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.

Xiaoyu:

z = $\frac{27 - 18}{6}$ = 1.5

Emily:

z = $\frac{720 - 500}{100}$ = 2.2

______

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.