Which one of the following statements is false? If μTearless=μTearful it would be very unlikely to observe a difference in mean aggressiveness ratings of 0.59 or more.Under chance alone, it would be very unusual to get an observed difference of 0.59 or more between the two group means.The outcome of this randomisation test gives us strong evidence of a Tears effect on the aggressiveness rating of the dog.2 of the 1000 re-randomisations under chance alone produced a difference in means of 0.59 or more.The P-value for this randomisation test is 0.002. Figure 2: Aggressiveness by PhotoQuestions 2 and 3 refer to the following additional information.A two-sided randomisation test was performed on the data with hypotheses:Ho Tearless - Tearful = 0H1 μTearless - Tearful # 0VIT output of the data and the re-randomisation distribution is shown below in Figure 3.DataóRe-Randomised Data00.59Re-Randomisation Distribution-5Figure 3: VIT output from the randomisation test.62/1000 = 0.002010.5983TearfulOTearless10TearfulTearless105 A study aimed to explore the influence of tears on perceived aggressiveness by using pictures of animal faceswith digitally added tears. 403 participants, recruited from different social networks and academic institutions, weresent an online survey that included a photo of a dog. The dog photo was randomly selected to either be tearlessor tearful.Picó, A., & Gadea, M. (2021). When animals cry: The effect of adding tears to animal expressions on humanjudgment. PLOS ONE, 16(5), e0251083. https://doi.org/10.1371/journal.pone.0251083Figure 1: The tearless dog (left) and tearful dog (right).One question in the survey asked:Rate how aggressive you find the dog on the 10-point scale below, where 0 indicates the complete absence ofaggressiveness, and 10 the highest degree of aggressiveness.Plots of Aggressiveness by Photo are shown in Figure 2.TearfulTu..PhotoTearless0246AggressivenessOO8OO10

From the provided information, it is set up that: H0:μTearless-μTearful=0H1:μTearless-μTearful≠0…

Answered: Which one of the following statements…

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

Which one of the following statements is false?

If μTearless=μTearful it would be very unlikely to observe a difference in mean aggressiveness ratings of 0.59 or more.
Under chance alone, it would be very unusual to get an observed difference of 0.59 or more between the two group means.
The outcome of this randomisation test gives us strong evidence of a Tears effect on the aggressiveness rating of the dog.
2 of the 1000 re-randomisations under chance alone produced a difference in means of 0.59 or more.
The P-value for this randomisation test is 0.002.

Figure 2: Aggressiveness by Photo
Questions 2 and 3 refer to the following additional information.
A two-sided randomisation test was performed on the data with hypotheses:
Ho Tearless - Tearful = 0
H1 μTearless - Tearful # 0
VIT output of the data and the re-randomisation distribution is shown below in Figure 3.
Data
ó
Re-Randomised Data
0
0.59
Re-Randomisation Distribution
-5
Figure 3: VIT output from the randomisation test.
6
2/1000 = 0.002
0
1
0.59
8
3
Tearful
O
Tearless
10
Tearful
Tearless
10
5

A study aimed to explore the influence of tears on perceived aggressiveness by using pictures of animal faces
with digitally added tears. 403 participants, recruited from different social networks and academic institutions, were
sent an online survey that included a photo of a dog. The dog photo was randomly selected to either be tearless
or tearful.
Picó, A., & Gadea, M. (2021). When animals cry: The effect of adding tears to animal expressions on human
judgment. PLOS ONE, 16(5), e0251083. https://doi.org/10.1371/journal.pone.0251083
Figure 1: The tearless dog (left) and tearful dog (right).
One question in the survey asked:
Rate how aggressive you find the dog on the 10-point scale below, where 0 indicates the complete absence of
aggressiveness, and 10 the highest degree of aggressiveness.
Plots of Aggressiveness by Photo are shown in Figure 2.
Tearful
Tu..
Photo
Tearless
0
2
4
6
Aggressiveness
O
O
8
O
O
10

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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