Answered: The following data show the pattern of…

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

The following data show the pattern of results that was obtained in a study by Liguori and Robinson (2001) examining how different levels of alcohol and caffeine consumption influenced response time in a simulated driving test. The means show the average response time in milliseconds for different combinations of alcohol and caffeine. Remember larger reaction time means someone is slower to respond. For these data, indicate which are true/false There is an interaction, caffeine has a larger impact on reaction times (makes people respond faster) when participants haven’t had alcohol) A. True B. False

No
200 Mg 400 Mg
Caffeine Caffeine Caffeine Overall
No Alcohol M = 620 M = 600 M = 590 M = 603
%3D
%3D
Alcohol
M = 720 M = 700 M = 690 M = 703
%3D
%3D
Overall
M = 670 M = 650 M = 640
True
OFalse
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APR
8.
O étv A A
000
D00 F4
II
F8
F5
F6
F7
F9
F10
F11

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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