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1. Given the following sample information , test the hypothesis that the treatment means are equal at the 0.05 significance level: Treatment 1 Treatment 2
1. Given the following sample information , test the hypothesis that the treatment means are equal at the 0.05 significance level:
Treatment 1 | Treatment 2 | Treatment 3 |
2 | 8 | 6 |
2 | 8 | 2 |
2 | 8 | 4 |
1 | 4 | 3 |
2 | 7 | 5 |
4 | 7 | 6 |
9 | 3 | |
5 | 5 | |
5 9 |
a) What is the decision rule?
Reject H0 if F > -----
b) Compute SST, SSE, and SS total.
SST=
SSE=
SS total =
c) Complete the ANOVA table.
Source | SS | DF | MS | F |
Factor | ||||
Error | ||||
Total |
e) State your decision regarding the null hypothesis.
Decision -------- H0
f) If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95% level of confidence.
95% confidence interval is ----- -------
We can conclude that the treatments 2 and 3 are ------
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