A lurking variable. The effect of a lurking variable can

Chapter , Problem 2.106

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QUESTION:

A lurking variable. The effect of a lurking variable can be surprising when individuals are divided into groups. In recent years, the mean SAT score of all high school seniors has increased. But the mean SAT score has decreased for students at each level of high school grades (A, B, C, and so on). Explain how grade inflation in high school (the lurking variable) can account for this pattern. A relationship that holds for each group within a population need not hold for the population as a whole. In fact, the relationship can even change direction.

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QUESTION:

A lurking variable. The effect of a lurking variable can be surprising when individuals are divided into groups. In recent years, the mean SAT score of all high school seniors has increased. But the mean SAT score has decreased for students at each level of high school grades (A, B, C, and so on). Explain how grade inflation in high school (the lurking variable) can account for this pattern. A relationship that holds for each group within a population need not hold for the population as a whole. In fact, the relationship can even change direction.

ANSWER:

Step 1 of 3

Given:

The mean SAT scores for the entire population consisting of all high school seniors has increased from before.

The mean SAT scores for each grade of high school seniors have decreased from before.

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