Test a Hypothesis Regarding Three or More Means Using One $\alpha = 0.01$

Multiple Choice

Test a Hypothesis Regarding Three or More Means Using One -Way ANOVA
-A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the test statistic F to test the hypothesis that there is no difference in the average age of each group. Use $\alpha = 0.01$ .

A) 2.517
B) 2.913
C) 3.189
D) $4.312$