Males’ SAT Scores According to data from the College Board, the mean quantitative SAT score for male college bound high school seniors is 530. Assume that SAT scores are approximately Normally...

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Males’ SAT Scores According to data from the College Board, the mean quantitative SAT score for male college bound high school seniors is 530. Assume that SAT scores are approximately Normally distributed with a population standard deviation of 100. If a male college-bound high school senior is selected at random, what is the probability that he will score higher than 675?

Answered Same DayDec 25, 2021

Answer To: Males’ SAT Scores According to data from the College Board, the mean quantitative SAT score for male...

Robert answered on Dec 25 2021

116 Votes

P (X > 675)
Normal Distribution, µ = 530, σ = 100, we convert this to standard normal
using z = x− µ
σ
z = 675 − (530)100 = 1.45
P (Z > 1.45) = Area to the right of 1.45
Z
0.0735
1.45
0
P (X > 675) = P (Z > 1.45) = 1 − P (Z < 1.45) = 1 − 0.9265
= 0.0735
P (Z < 1.45): in a z-table having...

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Males’ SAT Scores According to data from the College Board, the mean quantitative SAT score for male college bound high school seniors is 530. Assume that SAT scores are approximately Normally...

Answer To: Males’ SAT Scores According to data from the College Board, the mean quantitative SAT score for male...

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