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, = 11 children (9 years old) showed that they had an average REM sleep time of x, = 2.7 hours per night. From previous studies, it is known that a = 0.9 hour. Another random sample of n, = 11 adults showed that they had an average REM sleep time of x, = 1.90 hours per night. Previous studies show that a, = 0.5 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. O HO: H1 = H2i H1: Hi > H2 O Ho: H1 = #2i H1: H1