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 2.8 hours per night. From previous studies, it is known that o, sample of n2 per night. Previous studies show that o2 10 children showed that they had an average REM sleep time of x = 0.5 hours. Another random = 10 adults showed that they had an average REM sleep time of x2 = 2.1 hours = 0.7 hour. 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 n1
= 10 children showed that they had an average REM sleep time of x1
2.8 hours per night. From previous studies, it is known that o,
sample of n2
per night. Previous studies show that o2 = 0.7 hour.
0.5 hours. Another random
= 10 adults showed that they had an average REM sleep time of x2 = 2.1 hours
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 n1 = 10 children showed that they had an average REM sleep time of x1 2.8 hours per night. From previous studies, it is known that o, sample of n2 per night. Previous studies show that o2 = 0.7 hour. 0.5 hours. Another random = 10 adults showed that they had an average REM sleep time of x2 = 2.1 hours 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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