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 (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?

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