REM (rapid eye movement) sleep is sleep during which most dreams occur.Each night a person had 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 10 children (9 yrs old) showed they had an average REM sleep time of 2.8 hours.Another random sample of 10 adults showed they had an average REM sleep time of 2.1 hours.From previous studies it is known that the standard deviation of REM sleep time of all children is .5 and the standard deviation of REM sleep time of all adults is .7 hours.Do the data indicate that children tend to have more REM sleep time than adults?Use a 1% level of significance.