REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-RAssume that REM sleep time is normally distributed for, both children and adults. A random sample of n, = 9 children (9random sample of ny = 9 adults showed that they had an average REM sleep time of X2 = 2.0 hours per night. REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-RIAssume that REM sleep time is normally distributed for both children and adults. A random sample of n₁ = 9 children (9 yrandom sample of n₂ = 9 adults showed that they had an average REM sleep time of x₂ = 2.0 hours per night. Previous(a) Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of signi(i) What is the level of significance?0.01State the null and alternate hypotheses.O Ho: M₁ M₂ H₁: M₁ = M₂Ho: M₁ = M₂i H₁: M₁ M₂O Ho: M₁ = H₂i H₁: My > H₂ọ Hoi Un = Uzi Hi My < 12(ii) What sampling distribution will you use? What assumptions are you making?O The standard normal. We assume that both population distributions are approximately normal with unknowThe standard normal. We assume that both population distributions are approximately normal with known has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults.e of n₁ = 9 children (9 years old) showed that they had an average REM sleep time of x₁ = 2.7 hours Furs per night. Previous studies show that o = 0.7 hour.Use a 1% level of significance.E normal with unknown standard deviations.normal with known standard deviations

Given: n1 = 9 Children. X1 = 2.7 Hours. n2 = 9 Adults. X2 = 2 Hours. α = 1% = 0.01

Answered: REM (rapid eye movement) sleep is sleep…

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-R Assume that REM sleep time is normally distributed for, both children and adults. A random sample of n, = 9 children (9 random sample of ny = 9 adults showed that they had an average REM sleep time of X2 = 2.0 hours per night.

REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-RI
Assume that REM sleep time is normally distributed for both children and adults. A random sample of n₁ = 9 children (9 y
random sample of n₂ = 9 adults showed that they had an average REM sleep time of x₂ = 2.0 hours per night. Previous
(a) Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of signi
(i) What is the level of significance?
0.01
State the null and alternate hypotheses.
O Ho: M₁ M₂ H₁: M₁ = M₂
Ho: M₁ = M₂i H₁: M₁ M₂
O Ho: M₁ = H₂i H₁: My > H₂
ọ Hoi Un = Uzi Hi My < 12
(ii) What sampling distribution will you use? What assumptions are you making?
O The standard normal. We assume that both population distributions are approximately normal with unknow
The standard normal. We assume that both population distributions are approximately normal with known

has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults.
e of n₁ = 9 children (9 years old) showed that they had an average REM sleep time of x₁ = 2.7 hours F
urs per night. Previous studies show that o = 0.7 hour.
Use a 1% level of significance.
E normal with unknown standard deviations.
normal with known standard deviations

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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