ANOVA Table and Null Hypothesis Testing
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The attached data resulted from an experiment that utilized a completely randomized design, Complete the ANOVA table. I have attached the answer in table format as well; I want to understand how the answers were obtained and also test the null hypothesis.
Treatment 1 Treatment 2 Treatment 3
3.3 5.1 1.6
1.4 2.8 0.5
4.5 4.8 2.1
5.5 3.3
2.2
Answers:
Source df SS MS F statistic
Treatments 2 12.301 6.151 3.419
Error 9 16.188 1.799
Total 11 28.489
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Solution Summary
The given ANOVA analysis data is described and null hypothesis tested.
Solution Preview
The solution is also attached in excel format.
Number of data:
n1 = 5
n2 = 4
n3 = 3
Mean values: (see attachment for calculations)
X1 = sum (x1i)/n1 = 3.38
X2 = sum (x2i)/n2 = 4.00
X3 = sum (x3i)/n3 = 1.40
X = sum (ni*Xi)/sum(ni) = ...
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