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Consider the data in the table collected from three independent populations.

Sample 1 Sample 2 Sample 3
6 3 2
5 1 1
7 2 9

a) Calculate the total sum of squares (SST) and partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW).
b) Use these values to construct a one-way ANOVA table.
c) Using alpha = 0.05, what conclusions can be made concerning the population means?

By letting u1, u2, and u3 be the population means of samples 1, 2, and 3, respectively. What are the correct hypotheses for a one-way ANOVA test?