The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 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?(Round your answer to 2 decimal places.)

c.Compute SST, SSE, and SS total.(Round your answers to 2 decimal places.)

d.Complete an ANOVA table.(Round SS, MS,Fvalues,P-value andF critto 4 decimal places.)

e.Based on the value of the test statistic, state your decision regarding the null hypothesis.

f.IfH₀is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95% level of confidence.(Round your answers to 3 decimal places.)