5 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 = 11 children (9 years old) showed that they had an average REM sleep time of x₁ = 2.9 hours per night. From previous studies, it is known that o₁ = 0.6 hour. Another random sample of n₂ = 11 adults showed that they had an average REM sleep time of x2 = 2.50 hours per night. Previous studies show that 0 ₂ = 0.5 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 the P-value method. (Test the difference μ1-2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value P-value Conclusion Fail to reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults. Reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults. Fail to reject the null hypothesis, there is sufficient
5 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 = 11 children (9 years old) showed that they had an average REM sleep time of x₁ = 2.9 hours per night. From previous studies, it is known that o₁ = 0.6 hour. Another random sample of n₂ = 11 adults showed that they had an average REM sleep time of x2 = 2.50 hours per night. Previous studies show that 0 ₂ = 0.5 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 the P-value method. (Test the difference μ1-2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value P-value Conclusion Fail to reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults. Reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults. Fail to reject the null hypothesis, there is sufficient
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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