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†....

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 ofn
₁ = 9 children (9 years old) showed that they had an average REM sleep time of x₁ = 2.5 hours per night. From previous studies, it is known that ?₁ = 0.7 hour. Another random sample ofn
₂ = 9 adults showed that they had an average REM sleep time of x₂ = 2.00 hours per night. Previous studies show that ?₂ = 0.8 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 10% level of significance. Solve the problem using both the traditional method and theP-value method. (Test the difference ?₁ − ?₂. Round the test statistic and critical value to two decimal places. Round theP-value to four decimal places.)