In a certain year, when she was a high school senior, Idonna scored 662 on the m
ID: 3204709 • Letter: I
Question
In a certain year, when she was a high school senior, Idonna scored 662 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 516 and standard deviation 115. Jonathan took the ACT and scored 27 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 20.9 and standard deviation 5.3.
Find the standardized scores (±±0.01) for both students. Assuming that both tests measure the same kind of ability, who had the higher score?
Idonna's standardized score is
Jonathan's standardized score is
Scores are equal
Idonna's score is higher than Jonathan's
Idonna's score is less than Jonathan's
In a certain year, when she was a high school senior, Idonna scored 662 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 516 and standard deviation 115. Jonathan took the ACT and scored 27 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 20.9 and standard deviation 5.3.
Find the standardized scores (±±0.01) for both students. Assuming that both tests measure the same kind of ability, who had the higher score?
Idonna's standardized score is
Jonathan's standardized score is
Scores are equal
Idonna's score is higher than Jonathan's
Idonna's score is less than Jonathan's
Explanation / Answer
ans=
idonna's standardized score is Z= 662-516/115
= 146/115
= 1.27
jonathan 's standardized score is Z=27-20.9/5.3
= 6.1/5.3 =1.15
idonna's score is relatively higher than jonathan's