A cognitive psychologist is interested in the effect that sleep has on daily stress levels. To investigate this, the psychologist recruits 88 participants and splits them equally into either a group that gets less than six hours of sleep each night or a group that gets more than six hours of sleep each night. At the end of each day, participants are asked to report their overall level of stress each day for a month. Those who had fewer than six hours of sleep on average reported stress levels of 6.3 (with most people falling within 1.7 hours of this average).  However, those who had more than six hours of sleep reported stress levels of 3.5 (with most people falling within 2.8 hours of this average).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A cognitive psychologist is interested in the effect that sleep has on daily stress levels. To investigate this, the psychologist recruits 88 participants and splits them equally into either a group that gets less than six hours of sleep each night or a group that gets more than six hours of sleep each night. At the end of each day, participants are asked to report their overall level of stress each day for a month. Those who had fewer than six hours of sleep on average reported stress levels of 6.3 (with most people falling within 1.7 hours of this average).  However, those who had more than six hours of sleep reported stress levels of 3.5 (with most people falling within 2.8 hours of this average).

Help the psychologist estimate the difference in stress levels based on amount of sleep. What would be the smallest amount of difference in stress in two populations that either got more or less than six hours of sleep?

Does this study meet an assumption of HOV?

For this study, what kind of hypothesis was being tested?

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