The Graduate Record Examinations are widely used to help predictthe performance

Question

The Graduate Record Examinations are widely used to help predictthe performance of applicants to graduate schools. The range ofpossible scores on a GRE is 200 to 900. The psychology departmentat a university finds that the scores of its applicants on thequantitative GRE are approximately normal with mean = 544 andstandard deviation = 103. Use your calculator or computer to findthe relative frequency of applicants whose score X satisfies thefollowing conditions: (As part of your answer, draw a standardnormal curve and shade the area under the curve that representedthe answer to the question; do this on scratch paper and provide aone-sentence description for the assignment).

X < 500

Explanation / Answer

z = (x-)/ = (500-544)/(103) = -0.427 P(x<500) = P(z<-0.427) = normalcdf(-100,-0.427) =0.3346 about 33.46% of applicants score below 500

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