Question
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
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 ofn1=10children (9 years old) showed that they had an average REM sleep time ofx1=2.6hours per night. From previous studies, it is known that1=0.6hour. Another random sample ofn2=10adults showed that they had an average REM sleep time ofx2=2.00hours per night. Previous studies show that2=0.5hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance.
(a) What is the level of significance?
What is the value of the sample test statistic? (Test the difference12. Round your answer to two decimal places.)
(c) Find (or estimate) theP-value. (Round your answer to four decimal places.)
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