In a completely randomized design, 12 experimental units were used for the first

Question

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. At a .05 level of significance, is there a significant difference between the treatments?



Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value


Treatments 1200 ? ? ?


Error ? ? ? ?


Total 1800

Explanation / Answer

Give 12,15,20 ==> mean = 31.66 significance level = 0.05 ==> z = 1.96 from tables The significant difference = 1.96*31.66 =62.0536 Error = Total - treatments = 1800 - 1200 = 600

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