A Researcher Wishes to Compare How Students at Two Different

question 7

Essay

A researcher wishes to compare how students at two different schools perform on a math test. He randomly selects 40 students from each school and obtains their test scores. He pairs the
first score from school A with the first school from school B, the second score from school A
with the second school from school B and so on. He then performs a hypothesis test for
matched pairs. Is this approach valid? Why or why not? If it is not valid, how should the
researcher have proceeded?

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Definitions:

Inequality

A mathematical statement illustrating the relationship between two expressions that are not equal, using symbols such as <, >, ≤, or ≥.

Absolute Value

The distance of a number from zero on the number line, regardless of direction; denoted by |x|.

Equation

A mathematical declaration that affirms two expressions, usually containing variables, are equal.

Inequality

A mathematical statement that indicates the relationship of less than, greater than, less than or equal to, or greater than or equal to between two values.