In a completely randomized design 12 experimental units were

In a completely randomized design, 12 experimental units were used for the first treatment 15 for second treatment and 20 for third treatment. Complete the following analysis of variance. At a 0.05 level of significance, is there a significant difference between the treatments? The analysis of data involving three treatments with 5 observations for each treatment resulted in: At alpha = 0.05 level of significance, can we reject the null hypothesis that the means of thee three treatments are equal?

Solution

1.

number of treatments =3

number of units =12+15+20 =47

s

source of variation	Sum of squares	Degree of freedo	Mean sum of square	F
Treatment	1200	2	600	43.99
Error	600	44	13.64
Total	1800	46