The National Sleep Foundation recommends that teenagers aged $14$-$17$ get at least $8$ hours of sleep per night for proper health and wellness. But do teens really get enough sleep?
A statistics class at a large high school suspects that students at their school are getting less than $8$ hours of sleep. To test their theory, they randomly sample $42$ of these students and ask them how many hours of sleep they get per night.
The figure below displays information from a one-sample $t$ test about the mean using the collected data.
One-Sample T: Sleep| |||||
- | - | - | -
Variable | N | Mean| StDev|SE Mean| T
Sleep (hours) | 42 | 7.5| 1.6 |0.12 |-2.03
**Assuming that all the necessary conditions for this test of significance are met, what conclusion should be drawn at the $\alpha=0.01$ level?**
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