An article claims that babies spend twice as much time in REM (rapid eye movement) sleep than adults. This implies that babies have an average of 6 hours of REM sleep per night.A doctor would like to test the hypotheses = 6 versus ≠ 6 where = the true mean amount of REM sleep per night for babies.A 95% confidence interval for the true mean amount of REM sleep per night for babies is (5.45, 6.25) hours.Based on the confidence interval, what conclusion would you make for a test of these hypotheses?The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours. An article claims that babies spend twice as much time in Based on the confidence interval, what conclusionREM (rapid eye movement) sleep than adults. Thisimplies that babies have an average of 6 hours of REMsleep per night.would you make for a test of these hypotheses?The 95% confidence intervalinclude|as a plausible value, so we|A doctor would like to test the hypothesesHoi H = 6 versus H,i p # 6 where u = the true mean amount|Ho-convincing evidence that the truemean amount of REM sleep per night for babiesWeof REM sleep per night for babies.v 6 hours.A 95% confidence interval for the true mean amountof REM sleep per night for babies is (5.45, 6.25)hours.

The 95% confidence interval is (5.45, 6.25).The 95% confidence interval does include null value as a plausible value, so we fail to reject H0. We are convincing evidence that the true mean of REM sleep per night for babies is equal to 6 hours.

Answered: An article claims that babies spend…

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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An article claims that babies spend twice as much time in REM (rapid eye movement) sleep than adults. This implies that babies have an average of 6 hours of REM sleep per night.

A doctor would like to test the hypotheses
= 6 versus ≠ 6 where = the true mean amount of REM sleep per night for babies.

A 95% confidence interval for the true mean amount of REM sleep per night for babies is (5.45, 6.25) hours.

Based on the confidence interval, what conclusion would you make for a test of these hypotheses?

The 95% confidence interval include as a plausible value, so we H₀. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.

An article claims that babies spend twice as much time in Based on the confidence interval, what conclusion
REM (rapid eye movement) sleep than adults. This
implies that babies have an average of 6 hours of REM
sleep per night.
would you make for a test of these hypotheses?
The 95% confidence interval
include
|as a plausible value, so we|
A doctor would like to test the hypotheses
Hoi H = 6 versus H,i p # 6 where u = the true mean amount
|Ho-
convincing evidence that the true
mean amount of REM sleep per night for babies
We
of REM sleep per night for babies.
v 6 hours.
A 95% confidence interval for the true mean amount
of REM sleep per night for babies is (5.45, 6.25)
hours.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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