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A psychologist is interested in people\'s views on various crimes. She has produ

ID: 3055443 • Letter: A

Question

A psychologist is interested in people's views on various crimes. She has produced videotaped re enactments of four different, non-violent crimes -jewelry theft, credit card fraud, embezzlement, and tax evasionand has asked viewers to give the length of the prison sentence (in months) the perpetrator should get as punishment. The psychologist is looking at differences in the perceived seriousness of the crimes and also at whether there is an influence of the viewer's self-reported political position as conservative or liberal She randomly selected 80 conservatives and 80 liberals. She divided the conservatives at random into four groups of 20. For each crime, she had a different group of conservatives watch the re-enactment. She did the same for the liberals. After collecting the participants' prison sentence judgments, she computed the group mean judgment for each of the eight groups. These means are shown in the graph below 24 23 21 20 18 Jewelry Credit card Embezzlement Tax theft fraud evasion After checking that the assumptions for the test were satisfied, the psychologist performed a two-way ANOVA test. (The dependent variable was prisonn sentence judgment, and the factors were politicaí position and type of crime.) Her partially filled ANOVA table is shown below. Complete the table, and then answer the questions after the table. Do not round any values in the table except the F statistic values, which you should round to at least three decimal places Source of Degrees of Sum of freedom Mean square Fstatistic vaniation Political 44.1 45.9 132.3 1807.65 Type of crime Interaction 15.3 1287 Error 11.892 Total 159 2029.95

Explanation / Answer

below is the completed ANOVA table:

Source Df SS MS F political position 1 44.1 44.1 3.708 Type of crime 3 45.9 15.3 1.287 Interaction 3 132.3 44.1 3.708 error 152 1807.65 11.892 total 159 2029.95
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