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12. [-/4.08 Points] DETAILS BBUNDERSTAT12 8.5.015. MY NOTES ASK YOUR TEACHER 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 adultst. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n, = 9 children (9 years old) showed that they had an average REM sleep time of x, = 2.6 hours per night. From previous studies, it is known that o , = 0.8 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of X2 = 1.70 hours per night. Previous studies show that O 2 = 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. (a) What is the level of significance? State the null and alternate hypotheses. OHgilly = 12iHy: Hq