According to the study, what is the impact on a student's GPA for every hour of average nightly sleep lost at the start of an academic term?

Question

BlackTom AI · Accepted Answer

Each hour of average nightly sleep lost at the start of an academic term corresponds to a 0.07-point decrease in a student's GPA, as reported by the study.

1) Relevant knowledge points and concepts:
- The study quantifies the relationship between sleep loss (measured in hours per night) and GPA change (measured in grade-point units).
- The relationship is expressed as a rate (GPA points lost per hour of sleep lost), implying a linear association for the purpose of interpretation.
- Units must be consistent: hours × (GPA points/hour) = GPA points change.

2) Step-by-step reasoning:
- The study gives a per-hour effect on GPA. That single rate is the basis for all calculations.
- For any number of hours lost (h), the total GPA change = h × 0.07 (GPA points lost).

3) Calculations with intermediate steps (examples):
- Losing 1 hour: 1 × 0.07 = 0.07-point drop.
- Losing 2 hours: 2 × 0.07 = 0.14-point drop.
- Losing 3.5 hours: 3.5 × 0.07 = 0.245-point drop.
- If a student starts with a 3.20 GPA and loses 2 hours/night: new GPA ≈ 3.20 − 0.14 = 3.06.

4) Why the correct answer is correct:
- The option "0.07-point drop" directly matches the study’s reported rate of GPA decline per hour of lost sleep. It correctly interprets the study’s unit rate and applies it linearly to compute GPA changes.

5) Why the other options are incorrect:
- "0.1-point drop" overstates the per-hour effect relative to the reported 0.07.
- "0.05-point drop" understates the effect.
- "0.01-point drop" vastly understates it.
None of these alternative rates match the study’s stated value.

Conclusion: The correct answer is 0.07-point drop, which matches the provided answer.

According to the study, what is the impact on a student's GPA for every hour of average nightly sleep lost at the start of an academic term?单项选择题

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