3. [20 points] A researcher wanted to see if crowds affect one's willingness to help oneself and/or others. A total of eighteen people participated in the following study. Each participant was placed in a room in which they were to work on a questionnaire. Either zero, two, or four other people were also in the room (these other people were assistants placed there by the researcher). Smoke was sent into the room through the vent and the assistants placed in the room were instructed to ignore the smoke and just keep working on their own questionnaires. The researcher recorded the delay, in minutes, between the time the smoke started entering the room and when the participant left the room to inform the researcher. A partial ANOVA table appears below, followed by the mean number of minutes in each condition. Source 83 df MS I: p_eta2 Between 516 2 _ _ _ _ Within 30 15 _ Total 546 17 Number of \"Other pe_op(assistants). 0 2 4 Means M=5 M=13 M=1 8 a. Identify the appropriate statistical test. b. State the null and alternative hypotheses: c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis? CV: Reject Ho if F 2 d. Calculate the observed value of the test statistic and eta2 by completing the provided summary table above. Show your work here for eta2 and a Tukey test, if one is necessary. e. Write out an APA Style conclusion about the research project. Use the context of the study in your