In a completely randomized design, 12 experimental units were used for the first
ID: 3066434 • Letter: I
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). Round p-value to four decimal places. If your answer is zero enter "0".
Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
Treatments 1,100
Error
Total 1,700
At a .05 level of significance, is there a significant difference between the treatments?
The p-value is
Select
less than .01
between .01 and .025
between .025 and .05
between .05 and .10
greater than .10
Item 9
What is your conclusion?
Explanation / Answer
total groups =k=3
total sample size=N=12+15+20=47
hence df for treatments =k-1=2
and df for error =N-k =47-3=44
from abvoe table:
The p-value is less than .01
conclusion: at least one treatment has different mean value
source of variation SS df MS F p value treatments 1100 2 550.00 40.33 0.0000 error 600 44 13.64 total 1700 46