<PRE><B>Question 208457</B>
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
3 9 6
2 6 3
5 5 5
1 6 5
3 8 5
1 5 4
4 1
7 5
6 
4 
1. State the null hypothesis and the alternate hypothesis.
Ho: the three means are equal
Ha: at least one of the means is different than the other two
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Run an ANOVA program to answer the following questions:
 
2. What is the decision rule?
If the p-value is less than 5% reject Ho.
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3. Compute SST, SSE, and SS total. 
4. Complete an ANOVA table.
5. State your decision regarding the null hypothesis.
Since the p-value is 0.0683..., do not reject Ho.
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6. If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95 percent level of confidence
Ho is not rejected.
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Cheers,
Stan H.
</PRE>