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A Math Teacher Gives Two Different Tests to Measure Students

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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 5.1. Scores on the second test are normally distributed with a mean of 68 and a standard deviation of 10.4. Assume that the two tests use different scales to measure the same aptitude. If a student scores 28 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.)


Definitions:

Early 30s

A term used to describe someone who is between the ages of 30 and 33.

White Space

In design, the intentional use of unmarked areas to create visual clarity and balance; also known as negative space.

Baby Boomers

A demographic group born during the post-World War II baby boom, approximately between 1946 and 1964.

Generation X

A demographic cohort following the baby boomers and preceding the millennials, generally defined as being born between the early 1960s and late 1970s.

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