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Suppose administrators at a large school district decide to institute mandatory study halls at their middle schools in an effort to boost their students' academic performance. after one year, a guidance counselor decides to test whether students' grade point averages (gpas) have improved compared to the previous school year.

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Final answer:

The increase in student performance on statewide tests after a longer school day does not prove that the longer school day caused the improvement.

Step-by-step explanation:

The question is asking whether the increase in length of the school day from 6.5 to 7.5 hours at a high school resulted in improved student achievement, based on a 10 percentage point increase in student performance on statewide tests after one year.

While the increase in student performance suggests a positive outcome, it does not necessarily prove that the longer school day caused the improvement. Other factors such as student motivation and self-selection could have influenced the results.

Therefore, it is not possible to determine with certainty that a longer school day improves student achievement based on this information alone.

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