Q1) Given following sample information, test hypothesis that treatment means are equal at 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) Mention the null hypothesis and alternative hypothesis.
b) What is the decision rule?
c) Calculate SST, SSE, and SS total.
d) Complete an ANOVA table.
e) Mention your decision regarding the null hypothesis.
If H0 rejected can we conclude that treatment 2 and treatment 3 differ? Use 95 percent level of confidence.