REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 10 children showed that they had an average REM sleep time of x = 2.8 hours per night. From previous studies, it is known that o 0.5 hours. Another random %3D sample of n2 per night. Previous studies show that o, = 0.7 hour. 10 adults showed that they had an average REM sleep time of x2 = 2.1 hours %3D Do these data indicate that, on average children tend to have more REM sleep than adults? Use a 1% level of significance.

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3. REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person
has both REM and non-REM sleep. However, it is thought that children have more REM sleep
than adults. Assume that REM sleep time is normally distributed for both children and adults. A
random sample of n =
10 children showed that they had an average REM sleep time of
2.8 hours per night. From previous studies, it is known that o,
sample of n2
0.5 hours. Another random
%3D
10 adults showed that they had an average REM sleep time of x, = 2.1 hours
0.7 hour.
per night. Previous studies show that o,
%3D
Do these data indicate that, on average children tend to have more REM sleep than adults? Use
a 1% level of significance.
Transcribed Image Text:3. REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n = 10 children showed that they had an average REM sleep time of 2.8 hours per night. From previous studies, it is known that o, sample of n2 0.5 hours. Another random %3D 10 adults showed that they had an average REM sleep time of x, = 2.1 hours 0.7 hour. per night. Previous studies show that o, %3D Do these data indicate that, on average children tend to have more REM sleep than adults? Use a 1% level of significance.
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