Sleep researchers were trying to understand the impact of cell phone use before bedtime on the amount of time it took a person to fall asleep. Using a matched pairs design, they chose 8 subjects and recorded the amount of time it took the subject to fall asleep, both when using the cell phone up to attempting to sleep and stopping using the cell phone 2 hours prior to attempting to sleep, in random order. The amount of time for each person for each attempt is recorded in the table below. Person 1 2 3 4 5 6 7 8 Until Attempt 22 17 45 15 35 19 36 18 Two Hours Prior 18 18 40 8 23 15 32 12 Difference a. Compute the difference for each observation. b. Based on the above data compute the mean and sample standard deviation of the difference.
Sleep researchers were trying to understand the impact of cell phone use
before bedtime on the amount of time it took a person to fall asleep. Using
a matched pairs design, they chose 8 subjects and recorded the amount of
time it took the subject to fall asleep, both when using the cell phone up to
attempting to sleep and stopping using the cell phone 2 hours prior to
attempting to sleep, in random order. The amount of time for each person
for each attempt is recorded in the table below.
Person 1 2 3 4 5 6 7 8
Until Attempt 22 17 45 15 35 19 36 18
Two Hours Prior 18 18 40 8 23 15 32 12
Difference
a. Compute the difference for each observation.
b. Based on the above data compute the mean and sample standard
deviation of the difference.
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