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Using ANOVA for Three Treatments

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Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.

Treatment 1 Treatment 2 Treatment 3
8 3 3
11 2 4
10 1 5
3 4
2

(See the table in the attached file)
a. State the null hypothesis and the alternate hypothesis.
b. What is the decision rule?
c. Compute SST, SSE, and SS total.
d. Complete an ANOVA table.
e. State your decision regarding the null hypothesis.
f. If H0 is rejected, can we conclude that treatment 1 and treatment 2 differ? Use the 95 percent level of confidence.

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The solution uses ANOVA to test the hypothesis that the treatment means are equal at the .05 significance level. Equations are provided to show how answers are calculated.

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