To help students improve theirreading, a school district decides to implement a

Question

To help students improve theirreading, a school district decides to

implement a reading program. It isto be administered to the bottom

15% of the students in thedistrict, based on the scores on a reading

achievement exam given in thechild’s dominant language. The reading-

score for the pooled students inthe district is approximately normally

distributed with a mean of 122points, and standard deviation of 18

points.

a. What fraction of students scoreabove 140 points?

b. Find the cutoff score that willmake a student eligible for the

program.

Explanation / Answer

=122 and =18 a. P(z>140) To do this you make z standardized by using(x1-)/() This is (140-122)/(18) = 1 So P(z>1)= .1587      As a fractionwould be 1587/10000 b. P(z

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