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In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...

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
Treatments 1400
Error
Total 1800

At a .05 level of significance, is there a significant difference between the treatments?

The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 9

What is your conclusion?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

df treatments = k -1 = 3 - 1 =2

df error = N-k = (12+15+20) - 3 = 44

df total = N-1 = 47-1= 46

means square = SS/df

Fstat = MS treatment/MSerror = 700/90.09=77

p-value = 0.0000

Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
Treatments 1400.0 2 700.0000 77.0000 0.0000
Error 400.0 44 9.0909
Total 1800.0 46

p-value is less than 0.01

reject Ho,

there is a significant difference between the treatments at α=0.05

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