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 = 11 children (9 years old) showed that they had an average rem sleep time of x1 = 2.6 hours per night. from previous studies, it is known that σ1 = 0.6 hour. another random sample of n2 = 11 adults showed that they had an average rem sleep time of x2 = 1.80 hours per night. previous studies show that σ2 = 0.9 hour. do these data indicate that, on average, children tend to have more rem sleep than adults? use a 1% level of significance.