# Are the Three Treatment Means Equal?

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

a. State the null hypothesis and the alternative 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 1 and treatment 2 differ? Use the 95 percent level of confidence.

Treatment 1:

8

11

10

Treatment 2:

3

2

1

3

2

Treatment 3:

3

4

5

4

https://brainmass.com/statistics/analysis-of-variance/are-the-three-treatment-means-equal-48867

#### Solution Preview

a.State the null hypothesis and the alternative hypothesis:

H0: The treatment means are equal.

H1: The treatment means are not equal.

b. What is the ...

#### Solution Summary

This solution is comprised of a detailed explanation which shows how to test the means of more than two populations to verify whether they equal or not. Some parts of this solution have been provided in a Word document which is attached and an Excel spreadsheet is also attached which contains the required calculations and original tables.