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). If the answer is zero enter "0".
|Source of Variation||Sum of Squares||Degrees of Freedom||Mean Square||F||p-value|
At a .05 level of significance, is there a significant difference between the treatments?
The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 9
What is your conclusion?
From given data,
12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment.
Sum of square for error = 1800 - 1200 =600
n= 12+15+20 = 47
Total degree of freedom=n-1=47-1= 46
treatments df = number of elements -1 = 3-1 =2
Error of df = 46-2 = 44
Mean square treatment = 1200 / 2 = 600
Mean square Error = 600 / 44 = 13.636
F = 600 / 13.636 = 44.001
numerator degree of freedom = 2
denominator degree of freedom =44
the p- value is 0.0000
since p value is less than 0.05 significance level
we reject null hypothesis
There is significant difference between treatments.
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