Searches related to Suppose that scores on the mathematical portion of the SAT c

Question

Searches related to 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 Maria wants to attend later this year requires that all scholarship recipients be in the 96-th percentile for the mathematics portion of the SAT. Use the Standard Scores and Percentiles table from 6C in your textbook to determine what Maria's approximate minimum score needs to be (for the mathematics portion of the SAT) in order to qualify for the scholarship.

Explanation / Answer

given mean = 500

standard deviation = 100

as we know mu - 3sigma to mu +3sigma = 99.9% scores lie in the region

it indicates 500-3(100) to 500 +3(100) implies all scores lie betwwen 200 to 800

z value for 96 percentile is 2.054

the scholarship score of SAT is 500+2.054*100 = 500+205 = 705

If maria score 705 in sat then she is qualified for scholarship

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