Suppose that scores on the mathematical portion of the SAT college-entrance exam

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 Jennifer wants to attend later this year requires that all scholarship recipients be in the 94-th percentile for the mathematics portion of the SAT. Use the Standard Scores and Percentiles table from 6C in your textbook to determine what Jennifer's approximate minimum score needs to be (for the mathematics portion of the SAT) in order to qualify for the scholarship.

Explanation / Answer

Solution:- The 94th percentile has a z-score of 1.55

z = (X - ) /

1.55 = (X - 500) / 100

155 = X - 500

X = 500+155

X = 655

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