{Exercise 13.05 (Algorithmic)} In a completely randomized design, 12 experimenta
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Question
{Exercise 13.05 (Algorithmic)}
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 (to 2 decimals, if necessary).
At a .05 level of significance, is there a significant difference between the treatments?
The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 8
What is your conclusion?
Select Conclude not all treatment means are equal Cannot reject the assumption all treatment means are equalItem 9
Explanation / Answer
error=total-treatmants=700
degree of freedom treatments=3-1=2
degree of frredom error=12+15+20-3=44
degrees of freedom total=44+2=46
mean square treatments=1400/2=700
mean square error=700/44=15.909
F=700/15.909=44
At a .05 level of significance, is there a significant difference between the treatments? Yes,
F has 2,44 degrees of freedom and at 0.05 is equal to 3.2
The p value is less than 0.01
Conclude not all treatment means are equal
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