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REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, Ris thought that children have more REM sleep than adultst. Assume that REM sleep time is normaly distributed for both children and aduts. A random sample of e, 10 children (9 years old) showed that they had an average REM sleep X,-2.6 hours per right. From previous studies, itis known that e,0.5 hour. Another random sample of n,- 10 adults showed that they had an average REM sleep time of , 1.80 hours per night. Previous studies show that e,-0.9 hour. Do these data indicate that, on average, chidren tend to have more REM deep than adults? Use a 1s level of significance. (a) what is the level of signitcance? State the nul and aternate hypotheses What sampling dtrbution will ou use? What assumptions are you making The standard nermal. We assume that both population distributons are aporoximately normal with known standard deviations. The standard nomal. We assume that beth population distributions are approximately normal with unknown standard deviations • The Student's t. We assume that beth papulation dstributions are approximately narmal with known standard deviations. The Student's t. We assume that boh papulation distributions are approximately narmal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference- Round your answer to twa decimal places.) 246 () Fed (or estimate) the Pvalue. (Round your answer to four dedimal places.)

REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, Ris thought that children have more REM sleep than adultst. Assume that REM sleep time is normaly distributed for both children and aduts. A random sample of e, 10 children (9 years old) showed that they had an average REM sleep X,-2.6 hours per right. From previous studies, itis known that e,0.5 hour. Another random sample of n,- 10 adults showed that they had an average REM sleep time of , 1.80 hours per night. Previous studies show that e,-0.9 hour. Do these data indicate that, on average, chidren tend to have more REM deep than adults? Use a 1s level of significance. (a) what is the level of signitcance? State the nul and aternate hypotheses What sampling dtrbution will ou use? What assumptions are you making The standard nermal. We assume that both population distributons are aporoximately normal with known standard deviations. The standard nomal. We assume that beth population distributions are approximately normal with unknown standard deviations • The Student's t. We assume that beth papulation dstributions are approximately narmal with known standard deviations. The Student's t. We assume that boh papulation distributions are approximately narmal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference- Round your answer to twa decimal places.) 246 () Fed (or estimate) the Pvalue. (Round your answer to four dedimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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, - 10 children (9 years old) showed that they had an average REM sleep time of x, - 2.6 hours per night. From previous studies, it is known that a, - 0.5 hour. Another random sample of n, - 10 adults showed that they had an average REM sleep time of x, - 1.80 hours per night. Previous studies show that a,- 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. (a) What is the level of significance? 001O State the null and alternate hypotheses. (b) What sampling distribution will you use? What assumptions are you making? P The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. le The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference , -3. Round your answer to two decimal places.) 246 (c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.
Transcribed Image Text: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, - 10 children (9 years old) showed that they had an average REM sleep time of x, - 2.6 hours per night. From previous studies, it is known that a, - 0.5 hour. Another random sample of n, - 10 adults showed that they had an average REM sleep time of x, - 1.80 hours per night. Previous studies show that a,- 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. (a) What is the level of significance? 001O State the null and alternate hypotheses. (b) What sampling distribution will you use? What assumptions are you making? P The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. le The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference , -3. Round your answer to two decimal places.) 246 (c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.
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