Solve the following problem:
Q) The following is sample information. Test the hypothesis that the treatment mean are equal. Use the .05 significance level.
Treatment 1
|
Treatment 2
|
Treatment 3
|
|
8
|
3
|
3
|
|
11
|
2
|
4
|
|
10
|
1
|
5
|
|
|
3
|
4
|
|
|
2
|
|
|
T1= 29
|
T2= 11
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T3= 16
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TOTAL
T=56
|
N1= 3
|
N=5
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N=4
|
N=12
|
9.6 (MEAN)
|
2.2 (MEAN)
|
4 (MEAN)
|
15.8 FOR GRAND MEAN
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A. State the null hypothesis and alternate Hypotheses
H0:u1=u2=u3;
Alternate hypotheses would be that all means are not the same.
B.What is the decision rule
Reject Ho if F > 4.26
C. Compute SST, SSE, SS total
D. Complete ANOVA Table
E. State the decision regarding the null hypothesis
F. If Ho is rejected can we conclude that treatment 1 and treatment 2 differ? Use 95% rule of confidence