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Statistics for Psychology Homework 9 -Due Monday November 30 th at 1pm *Note that this is due more than one week after being assigned because of Fall Break Adapted from Aron, Coups, & Aron (2013) This assignment has 3 questions. Make sure all of your work is shown. Points will be taken off otherwise. 1. An organizational psychologist was interested in whether individuals working in different sectors of a company differed in their attitudes toward the company. The results for the three people s urveyed in development were: 10, 12, and 11 For the three in the marketing department: 6, 6, and 8 For the three in accounting: 7, 4, and 4 For the three in production: 14, 16, and 13 Higher numbers mean more positive attitudes Was there a significant d ifference in attitude toward the company among employees in the different sectors at the 0.05 level? Development: M = 11, S 2 = 1 Marketing: M = 6.67, S 2 = 1.34 Accounting: M = 5, S 2 = 3 Production: M = 14.33, S 2 = 2.34 (a) Carry out the appropriate test using the five steps of hypothesis testing. (b) Draw a sketch showing the cutoff, the rejection region, and the sample score (c) Include an interpretation of your findings and the APA style statistical report. An interpretation is a o ne sentence conclusion of the hypothesis test that should be free of statistical jargon (d) Explain your answer to someone who knows about an independent samples t -test but not an ANOVA. You should detail how you carried out each step of the hypothesis test and how yo u know the information at each step. 2. Do students at various universities differ in how sociable they are? Twenty -five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spe nt socializing each day with other students. The result for the 25 students who attend University X was a mean of 5 hours and an estimated population variance of 2 hours For the 25 students who attend University Y, M = 4, S 2 = 1.5 For the 25 students who attend University Z, M = 6, S2 = 2.5 Using the level 0.05 , what should you conclude? (a) Carry out the appropriate test using the five steps of hypothesis testing. (b) Draw a sketch showing the cutoff, the rejection region, and the sample score (c) Inc lude an interpretation of your findings and the APA style statistical report. An interpretation is a o ne sentence conclusion of the hypothesis test that should be free of statistical jargon 3. A psychologist studying artistic preference randomly assigns a group of 45 participants to one of three conditions in which they view a series of unfamiliar abstract paintings. The 15 participants in the Famous condition are led to believe that these are each famous paintings; their mean rating for liking the pai ntings is 6.5 (S = 3.5). The 15 in the Critically Acclaimed condition are led to believe that these are paintings that are not famous but are very highly thought of by a group of professional art critics; their mean rating is 8.5 (S = 4.2). The 15 in the Control condition are given no special information about the paintings; their mean rating is 3.1 (S = 2.9). Does what people are told about paintings make a difference in how well they are liked? Use the .05 level. Famous: S 2 = 12.25 Critically acclaimed: S 2 = 17.64 Control: S 2 = 8.41 (a) Carry out the appropriate test using the five steps of hypothesis testing. (b) Draw a sketch showing the cutoff, the rejection region, and the sample score (c) Include an interpretation of your findings and the APA style statistical report. An interpretation is a o ne sentence conclusion of the hypothesis test that should be free of statistical jargon