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test the hypothesis that the treatment means are equal at the .05 significance level.

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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
3 9 6
2 6 3
5 5 5
1 6 5
3 8 5
1 5 4
4 1
7 5
6
4

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 Ho is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95 percent level of confidence.

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Solution Summary

This solution presents the null and alternative hypothesis and conducts an ANOVA analysis. It calculates the F-test statistic to compare to the p-value and make a decision to accept or reject the null hypothesis.

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