A Math Teacher Gives Two Different Tests to Measure Students

question 8

Short Answer

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 24 and a standard deviation of 4.5. Scores on the second test are normally distributed with a mean of 70 and a standard deviation of 11.3.
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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Definitions:

Functionalists

Sociologists who view society as a complex system of interdependent parts that work together to ensure stability and harmony.

Culture Theorists

Scholars and researchers who study the symbols, practices, and social structures that constitute cultures and how they change over time.

Culture Theory

A theoretical framework that studies the role of culture in shaping societies, behaviors, and consciousness, including the ways culture is developed, maintained, and transformed.

Multiracial Feminist Theory

an approach to feminism that recognizes the complex interplay of race, gender, class, and sexuality in the oppression and liberation of women, particularly women of color.