# Hypothesis Testing, Decision Rule and ANOVA

2) The following is sample information. Test the hypothesis that the treatment mean are equal. Use the .05 significance level.
Treatment 1 Treatment 2 Treatment 3
8 3 3
6 2 4
10 4 5
9 3 4

A. State the null hypothesis and alternate Hypotheses
Ho: u1 = u2 = u3; Treatment means that are not the same

B. What is the decision rule
Reject Ho if F> 4.26

C. Compute SST, SSE, SS total and D. Complete ANOVA Table

Treatment 1 Treatment 2 Treatment 3
8 3 3
6 2 4
10 4 5
9 3 4

To find the SS total and SSE you must calculate the grand mean

Treatment 1 Treatment 2 Treatment 3
8 3 3
6 2 4
10 4 5
9 3 4
23 (total) 13 (total) 16(total) 52.00 (total for all treatments)
4 (n) 4(n) 4(n) 12.00 for all n values
5.75 (mean) 3.25(mean) 4.0 (mean) 13.00 for grand mean

D. State the decision regarding the null hypothesis

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Solution Summary

Hypothesis Testing, Decision Rule and ANOVA are investigated.

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Changping Wang, MA

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Active since 2003

BSc , Wuhan Univ. China
MA, Shandong Univ.

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