A Researcher Wishes to Determine Whether There Is a Difference

Multiple Choice

A researcher wishes to determine whether there is a difference in the average age of middle school, highschool, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the teststatistic F to test the hypothesis that there is no difference in the average age of each group. Use α = 0.01. $$\begin{array} { c c c } \hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \\\hline 23 & 36 & 45 \\28 & 38 & 45 \\27 & 41 & 36 \\37 & 47 & 61 \\52 & 42 & 39 \\25 & 31 & 35 \\\hline\end{array}$$

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