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A Math Teacher Gives Two Different Tests to Measure Students

question 67

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A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 5.3. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 11.9. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)


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