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…

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.