Is this right?

4. (3 points) A researcher is interested in the amount of sleep that college students get, and divides them up by their major's area (Humanities, Natural Sciences, Social Sciences, Interdisciplery). Their data is summarized below. HUMAN NATSC SOCSC INTER X 6.4 7.3 7.4 7.8 S 0.8 1.7 2.1 1.5 N 23 18 17 13 Is there evidence, at a = 0.05 for a difference in mean sleep time among the groups of students? (a) What test are you using? Give a brief explanation for your answer. (b) What are the populations which are sampled? (c) Clearly state both the null and alternative hypotheses. (d) Determine Ferit and Fsamp, and/or a p value. (e) What decision do you make about your hypotheses? Briefly, interpret this answer in terms of the actual situation - do we know about sleep times? A). ANOVA because we have 3 of more samples that we are testing bJ. The population all college students, with declared majors, grouped by their major's area; we are measuring sleep. ( ). Hoi My = HN = Ms = ME; that is all students have the same mean sleep Hy: at least one major group has different sleep d). Ferit = 2. 7416 + Fsamp = 2. 7574 2). We reject Ho; We have strong statistical evidence that there is a difference in mean sleep for college students across different major area. Sleep time varies among different major area for students