5) The November 2007 issue of the American Journal of Critical Care (vol. 16, pp. 575 585) carried a paper by Kathie Cole, Anna Gawlinski, Neil Steers, and Jenny Kotlerman reporting on a clinical trial to determine whether a 12minute hospital visit with a therapy dog could improve hemodynamic measures, lower neurohormone levels, and decrease state anxiety in patients with advanced heart failure. To this end, 76 heart failure patients were randomly assigned to one of three groups. Patients in Group T were visited by a volunteer with a trained dog, those in Group V were visited by a volunteer only, and those in Group C were not visited at all. The anxiety level of each patient was measured (in points) both before and after the visits. The accompanying table gives summary statistics for the drop in anxiety level for patients in the three groups. Sample Size Mean Drop Standard Deviation Group T: Volunteer + Trained Dog 26 10.5 7.6 Group V: Volunteer Only 25 3.9 7.5 Group C: Control Group (No Visit) 25 1.4 7.5 An analysis of variance (ANOVA) of the data was used to compare the mean drops in anxiety level corresponding to these three treatments. In what follows, SST is an acronym for the \"sum of squares for treatments\" and SSE refers to the \"sum of squares for error.\" (a) What is the value of SST for the ANOVA? (b) What is the value of SSE for the ANOVA? (c) What is the value of the F ratio? (d) What is the pvalue of the F test? (e) Is there sufcient evidence to conclude, at the 1% level, that there are differences among the mean drops in anxiety levels for the patients in the three groups? YES III N0 III (f) List the ANOVA assumptions and comment on their validity. How might this affect the results of the study