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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.)


Definitions:

Temporal Lobes

Regions of the brain located beneath the temples, responsible for processing auditory information and involved in memory and emotion.

Short-term Memories

Memory stored for a brief period of time, usually for about 20 to 30 seconds, that holds a small amount of information before it is forgotten or transferred to long-term memory.

Retroactive Interference

The phenomenon where newly learned information interferes with the recall of information learned previously.

Newer Information

Recently acquired data or knowledge that updates or supersedes previous understanding.

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