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 the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 1,200 Error Total 2,000 At a .05 level of significance, is there a significant difference between the treatments? The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10 What is your conclusion? SelectConclude not all treatment means are equalCannot reject the assumption all treatment means are equal

Solution

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).

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square

F

Treatments

1200

2

600

33.00

Error

800

44

18.18

Total

2000

46

( P=0.000, null hypothesis is rejected.)

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

P -value is 0.000

The p-value is Select

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

What is your conclusion?

Conclude not all treatment means are equal

OR

Cannot reject the assumption all treatment means are equal