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
8 3 3
11 2 4
10 1 5
A. State the null hypothesis and the alternate hypothesis.
B. What is the decision rule?
C. Compute SST, SSE, 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% level of confidence.
This solution contains stepwise calculations in testing the hypothesis and determines if the null hypothesis is accepted or rejected. All formulas and workings are shown clearly.