REM sleep is when most people dream. Each night, adults have both REM and non-REM sleep. It is thought that children have more REM sleep than adults. A random sample of 10 children had an average REM sleep time of 2.8 hours. A random sample of 10 adults had an average REM sleep time of 2.1 hours. From previous studies, the standard deviations are known to be 0.5 hour for the children’s group and 0.7 hour for the adult group. Use a 1% level of significance to test the claim that children tend to have more REM sleep than adults.
State the null and alternate hypotheses.
Identify the type of test (left-tailed, right-tailed, two-tailed) and state the level of significance.
Determine the p-value or the interval containing the p-value and make a decision to either reject/not reject the null hypothesis.
Interpret your decision in the context of the problem.
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