Exhibit 13-5
Part of an ANOVA table is shown below.
-Refer to Exhibit 13-5. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is
A)2.53
B)19.48
C)3.29
D)5.86

Question

Exhibit 13-5
Part of an ANOVA table is shown below. 
-Refer to Exhibit 13-5. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is
A)2.53 
B)19.48 
C)3.29 
D)5.86

Quizplus · Accepted Answer

To determine the critical value of F, we need to look at the row for Between Groups (Treatment) and the row for Within Groups (Error). The degrees of freedom for Between Groups (Treatment) is 2 and the degrees of freedom for Within Groups (Error) is 27. Looking at the F-table with 2 and 27 degrees of freedom in the numerator and denominator respectively at a 5% level of significance, the critical value of F is 3.29. Thus, if the calculated F-value is greater than 3.29, we reject the null hypothesis and conclude that the means of the populations are not equal.

Exhibit 13-5 Part of an ANOVA Table Is Shown Below