Math Problem Statement
The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1 Treatment 2 Treatment 3 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 5 6 4 Compute SST, SSE, and SS total. (Round your answers to 2 decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Analysis of Variance (ANOVA)
Hypothesis Testing
Sum of Squares
Formulas
SST = Σ(n_i * (X̄_i - X̄)^2)
SSE = ΣΣ(X_ij - X̄_i)^2
SS Total = ΣΣ(X_ij - X̄)^2
SS Total = SST + SSE
Theorems
ANOVA (Analysis of Variance)
F-Test
Suitable Grade Level
Undergraduate Statistics or Advanced High School