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, = 8 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 of = 0.6 hour. Another random sample of n, = 8 adults showed that they had an average REM sleep time of x, = 2.00 hours per night. Previous studies show that , = 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:My = H2i H 1: H1 > H2 O Ho:Hi