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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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