Treatment Student 1 2 3 4 5 6 7 8 9 10 11 12 13 Rested 9 11 15 13 11 10 8 16 13 10 10 9 7 7 6 7 9 9 9 6 8 14 7 9 5 8 7 Difference 3 4 6 4 2 4 0 26 1 4 -1 0 Sleep Deprived
A group of college students volunteered to participate in a study investigating the effect of sleep deprivation on fine motor tasks. Each student was assigned to each of two treatments: staying awake all night and getting a full night’s sleep. The next morning at 8:00 a.m., the students are asked to thread as many needles as possible in five minutes. The treatments are administered on the first Saturday of consecutive months, and the order of the treatments is assigned to each student at random. The data table shows the number of needles successfully threaded by each student.
A 95% confidence interval for the mean difference in needles threaded is (1.33, 4.05). Based on this interval, should the researchers conclude that college students like the ones in this study thread the same number of needles when they are sleep deprived as when they are rested, on average?
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1
Rested 9
6
Difference 3
Sleep Deprived
2 3 4 5
11 15 13 11
7
79
9
6 4
Student
6
7
10 8
968
4
A
2
0
8 9 10 11 12 13
16 13 10 9
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1479
587
6
4 -1 0
2
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