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

- State the null hypothesis and the alternate hypothesis.
- What is the decision rule?
- Compute SST, SSE, and SS total.
- Complete an ANOVA table.
- State your decision regarding the null hypothesis.
- If
*H*_{0}is rejected, can we conclude that treatment 1 and treatment 2 differ? Use the 95 percent level of confidence

**Solution:** We need to test the following hypotheses:

_{}

We use Excel again to perform an ANOVA analysis:

- The rejection rule is: We reject the null hypothesis if
_{}

- From the table we see that

_{}

- The F-statistics is equal to
_{}, which means that we reject the null hypothesis.

- We use a t-test to compare Treatment 1 and Treatment 2:

null hypothesis of equal means. *This means that we have enough evidence to claim that Treatment 1 and Treatment 2 have different means.*

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