Answered: Allison and cicchetti studied sleep and…

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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Question

Allison and cicchetti studied sleep and 62 species of animals there measurements included the main number of hours per 24 hour period each species spent sleeping, divided into sleep, characterized by short, alpha brain waves (dreaming sleep) and all other sleep (non dreaming sleep) below are the meanings for the eight primate species they studied assume that the parent populations of values are approximately normally distributed. do primates spend differing amounts of time per day in dreaming sleep vs non dreaming sleep? use the Allison and cicchetti data above and alpha level of 0.01 inappropriate statistical test to follow the steps below in the test the hypothesis that the main difference between amounts of non-dreaming sleep and of dreamy sleep per day zero. Provide the appropriate null and alternative hypotheses What is the critical value of the test statistic for alpha= 0.01? calculate the observed value of the test statistic.

The table below compares the amount of non-dreaming sleep and dreaming sleep (in hours per day) among different primate species:

| Primate Species | Non-dreaming sleep (hours/day) | Dreaming sleep (hours/day) |
|------------------|------------------------------|----------------------------|
| Baboon | 9.1 | 0.7 |
| Chimpanzee | 8.3 | 1.4 |
| Galago | 9.5 | 1.2 |
| Human | 6.1 | 1.9 |
| Owl monkey | 15.2 | 1.8 |
| Patas monkey | 10 | 0.9 |
| Rhesus monkey | 8.4 | 1.2 |
| Vervet monkey | 9.7 | 0.6 |

The text excerpt references considerations for primate sleep research, including analyzing differences in dreaming and non-dreaming sleep among species using a statistical hypothesis test.

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 + ...

Expert Solution

Step 1: Given Information:

Primate species	Non-dreaming sleep	Dreaming sleep
Baboon	9.1	0.7
Chimpanzee	8.3	1.4
Galago	9.5	1.2
Human	6.1	1.9
Owl monkey	15.2	1.8
Patas monkey	10	0.9
Rhesus monkey	8.4	1.2
Vervet monkey	9.7	0.6