There is no reference needed. I just need to show work and very direct concise answers. 1-3 sentences as needed.
Please, put the details of your computations on this sheet, and label all your graphs (axis, title) Homework1 – Chapter 1&2. Student Name:________________ Homework – Chapter 11. Student name:____________________ Question # 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 surveyed 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; and for the three in production, 14, 16, and 13 (higher numbers mean more positive attitudes). Was there a significant difference in attitude toward the company among employees working in different sectors of the company at the .05 level? Step I: -Research hypothesis: -Null hypothesis: Step II: Give the characteristics of the comparison distribution Step III: What is (are) the cut-off(s): Step IV: Compute the test statistic to determine sample’s score on the comparison distribution -Compute the between-group estimate of variance: -Compute the within-group estimate of variance: -Compute the F statistic: Step V: What is the decision? State your answer in the APA format. Question # 2 Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing each day with other students. The results for College X was a mean of 5 hours, and an estimated population variance of 2 hours; for College Y, M = 4, S2= 1.5; and for College Z, M = 6, S2 = 2.5. What should you conclude (at the 0.05 level)? Do students atDo Step I: -Research hypothesis: -Null hypothesis: Step II: Give the characteristics of the comparison distribution Step III: What is (are) the cut-off(s): Step IV: Compute the test statistic to determine sample’s score on the comparison distribution -Compute the between-group estimate of variance: -Compute the within-group estimate of variance: -Compute the F statistic: Step V: What is the decision? State your answer in the APA format. Question # 3 Based on the study described in Question #2, determine planned comparisons for College X versus College Y, using the .05 significance level: -Compute the grand mean: -Estimate the variance of the distribution of means: - Compute the between-group estimate of variance: - Compute the within-group estimate of variance: -Give the cut-off and compute the F statistic: -Is there a statistically significant difference between college X and college Y: Question #4 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 paintings is 6.5, S = 3.52. 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 = 4.22. The 15 in the Control condition are given no special information about the paintings; their mean rating is 3.1, S = 2.92. Does what people are told about paintings make a difference in how well they are liked? Use the .05 level. Step I: -Research hypothesis: -Null hypothesis: Step II: Give the characteristics of the comparison distribution Step III: What is (are) the cut-off(s): Step IV: Compute the test statistic to determine sample’s score on the comparison distribution -Compute the between-group estimate of variance: -Compute the within-group estimate of variance: -Compute the F statistic: Step V: What is the decision? State your answer in the APA format. Question # 5 Based on the study described in Question #4, test the significance of planned contrasts (using the .05 significance level without a Bonferroni correction) for Famous versus Control. -Compute the grand mean: -Estimate the variance of the distribution of means: - Compute the between-group estimate of variance: - Compute the within-group estimate of variance: - Give the cut-off and compute the F statistic: -Is there a statistically significant difference between Famous versus Control: Question # 6 (multiple choice, circle the correct response for each of the following) (i) In an analysis of variance with a within-groups variance estimate of 8.5 and a between-groups variance estimate of 5.3, the F ratio is a. 5.3 / 8.5 = 0.62 b. 8.5 / 5.3 = 1.60 c. √5.3 / 8.5 = 0.27 d. √8.5 / 5.3 = 0.55 (ii) If a research article reports "F (2, 36) = 2.95, p < .05,"="" you="" know="" that="" a.="" there="" were="" two="" groups.="" b.="" there="" were="" 39="" participants.="" c.="" there="" were="" 36="" participants.="" d.="" there="" were="" 36="" participants="" per="" group.="" (iii)="" in="" an="" analysis="" of="" variance,="" if="" the="" null="" hypothesis="" is="" true,="" then="" a.="" the="" research="" hypothesis="" can="" also="" be="" true.="" b.="" fewer="" participants="" can="" be="" included="" in="" the="" experiment.="" c.="" there="" is="" less="" variance="" among="" means="" of="" samples="" than="" if="" the="" null="" hypothesis="" were="" not="" true.="" d.="" the="" within-groups="" estimate="" of="" the="" population="" variance="" is="" smaller="" than="" the="" between-groups="" estimate.="" (iv)="" in="" an="" analysis="" of="" variance,="" if="" the="" within-groups="" variance="" estimate="" is="" about="" the="" same="" as="" the="" between-groups="" variance="" estimate,="" then="" a.="" the="" null="" hypothesis="" should="" be="" rejected.="" b.="" any="" difference="" between="" sample="" means="" is="" probably="" due="" to="" random="" sampling="" error.="" c.="" an="" error="" has="" been="" made="" in="" computing="" the="" between-groups="" and="" the="" within-groups="" variance="" estimates.="" d.="" any="" difference="" between="" sample="" means="" is="" probably="" due="" to="" a="" real="" difference="" caused="" by="" experimental="" conditions.="" (v)="" in="" an="" analysis="" of="" variance,="" you="" reject="" the="" null="" hypothesis="" when="" the="" f="" ratio="" is="" a.="" negative.="" b.="" much="" larger="" than="" 1.="" c.="" equal="" to="" the="" t="" score.="" d.="" smaller="" than="" 1.="" (vi)="" a="" planned="" comparison="" comparing="" two="" means="" involves="" figuring="" an="" f="" ratio="" in="" which="" the="" denominator="" a.="" depends="" on="" the="" pair="" of="" means="" being="" compared.="" b.="" has="" degrees="" of="" freedom="" equal="" to="" the="" total="" within-groups="" degrees="" of="" freedom="" of="" the="" two="" groups="" being="" compared.="" c.="" is="" the="" overall="" within-groups="" population="" variance="" estimate,="" regardless="" of="" the="" pair="" of="" means="" being="" compared.="" d.="" does="" not="" involve="" figuring="" an="" f="" ratio="" for="" any="" planned="" comparison.="" (vii)="" an="" article="" reported="" that="" “the="" means="" for="" the="" student="" groups="" with="" a="" reading="" disability,="" mathematics="" disability,="" expressing="" writing="" disability,="" and="" control="" group="" were="" 40.1,="" 33.8,="" and="" 39.2,="" and="" 50="" respectively,="" f(3,="" 16)="3.09," p="">< .05.="" in="" total,="" how="" many="" students="" participated="" in="" this="" study?="" a.="" 10="" b.="" 15="" c.="" 16="" d.="" 20="" (viii)="" one="" characteristic="" of="" an="" f="" ratio="" is="" that:="" a.="" when="" looking="" up="" the="" cutoff="" on="" a="" table,="" the="" degrees="" of="" freedom="" are="" needed="" rom="" the="" numerator,="" denominator,="" and="" the="" sum="" of="" squares="" calculation.="" b.="" it="" is="" never="" less="" than="" 0.="" c.="" it="" is="" negatively="" skewed="" (the="" long="" tail="" to="" the="" left).="" d.="" the="" standard="" t="" distribution="" (for="" 30="" df)="" is="" used="" as="" a="" comparison="" distribution.="" (ix)="" when="" you="" do="" an="" analysis="" of="" variance:="" a.="" you="" need="" fewer="" participants="" than="" for="" a="" t="" test="" for="" independent="" means.="" b.="" you="" compare="" two="" estimates="" of="" the="" population="" variance.="" c.="" you="" figure="" difference="" scores,="" as="" in="" a="" t="" test="" for="" dependent="" means.="" d.="" all="" of="" the="" above. ="" (x)="" which="" of="" the="" following="" shows="" how="" the="" results="" of="" an="" analysis="" of="" variance="" would="" usually="" be="" reported="" in="" a="" research="" article?="" a.="" f="">< p(.01)="" b.="" f(3,50)="4.33," p="">< .05 c. f(4.33) = p(.01) d. f = 4.33, significant 2 1 .05="" c.="" f(4.33)="p(.01)" d.="" f="4.33," significant="" 2="">