A researcher was interested in undergraduate students' depression level (rated on a scale of 1-10, 1 refers to" no pressure", 10 refers to "extremely under a lot pressure) based upon their ranking (freshman, sophomores, and juniors). The researcher recruited a total of 15 participants: 5 freshmen, 5 sophomores, 5 juniors. Given the significant ANOVA, and a Fisher's Post-Hoc test for this study. Set = .05.

Freshman Sophomores Juniors

X₁ = 16 X₂ = 24 X₃ = 33

n₁= 5 n₂ = 5 n₃ = 5

MS_error (within) =2

1. What is the critical value for the above test?

1. Compute all pairwise comparisons. Show work

1. Interpret your findings/results.