You read that the average number of hours of sleep that teens get is 7.2 hours. You decide to perform your own statistical study to determine the validity of this claim. What type of statistics will you use? Inferential Descriptive
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A researcher obtained times of sleep for randomly selected adult subjects included in the National Health and Nutritional Examination Study, and those times (hours) are listed below. Here are the Statistics for this sample: n=12, x-bar = 6.83, s = 1.99 hours. Assume that the times of sleep follow a normal distribution. A common recommendation is that adults should sleep between 7 hours and 9 hours each night. Use the P-value method with a 0.05 significance level to test the claim and that the mean amount of sleep for adults is less than 7 hours. 4,8,4,4,8,6,9,7,7,10,7,8
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Proceed to statistical inference. The CDC says that adults need at least 7 hours of sleep per night. Conduct a hypothesis test to see if the average amount of sleep BYU students get is different than 7 hours per night. Assuming that α = 0.01, what is the appropriate conclusion to make?
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A researcher reported that the average teenager needs 9.3 hours of sleep per night but gets only 6.3 hours. ${ }^{17}$ By the end of a 5 -day school week, a teenager would accumulate about 15 hours of "sleep debt." Students in a high school statistics class were skeptical, so they gathered data on the amount of sleep debt (in hours) accumulated over time (in days) by a random sample of 25 high school students. The resulting least-squares regression equation for their data is Sleep debt $=2.23+3.17$ (days). Do the students have reason to be skeptical of the research study's reported results? Explain.
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