Suppose that scores on the mathematical portion of the SAT college-entrance exam
ID: 3112448 • Letter: S
Question
Suppose that scores on the mathematical portion of the SAT college-entrance examination have a mean of 500 with a standard deviation of 100 and are normally distributed. A university that Brad wants to attend later this year requires that all scholarship recipients be in the 88-th percentile for the mathematics portion of the SAT. Use the Standard Scores and Percentiles table from 6C in your textbook to determine what Brad's approximate minimum score needs to be (for the mathematics portion of the SAT) in order to qualify for the scholarship.
Explanation / Answer
z-score of 88th percentile is 1.55
so plug given values into formula
1.55 = (X - ) /
1.55 = (X - 500) / 100
155 = X - 500
655 = X
so minimum score should be 655
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