Question

3. Using a significance level of 0.05, test for equal means given the following:

Source	Df	SS	MS	F
Factors	2	120	60.0	15.0
Error	15	60	4.0
Total	17	180

Answer 1

given that the degree of freedom of regression or df1 is 2 and degree of freedom of error or df2 is 15

use F distribution table for 0.05 significance level

check df1 in the top row and df2 in the left most column, then select the intersecting cell, we get F critical value

F critical = 3.682

it is clear that the F calculated is greater than the F critical value

therefore, result is significant and we can reject the null hypothesis

we can conclude that there is a significant difference between the means because the result is significant at 0.05 significance level