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 criticalvalue F-value to test the hypothesis that there is no difference in the average age of each group. Useα = 0.01. $$\begin{array} { c c c }
\hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \
\hline 23 & 38 & 39 \
28 & 36 & 45 \
27 & 41 & 36 \
52 & 47 & 61 \
25 & 42 & 45 \
37 & 31 & 35
\end{array}$$
A) 6.36
B) 5.09
C) 9.43
D) 5.42

Question

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 criticalvalue F-value to test the hypothesis that there is no difference in the average age of each group. Useα = 0.01. $$\begin{array} { c c c } 
\hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \
\hline 23 & 38 & 39 \
28 & 36 & 45 \
27 & 41 & 36 \
52 & 47 & 61 \
25 & 42 & 45 \
37 & 31 & 35
\end{array}$$
A) 6.36
B) 5.09
C) 9.43
D) 5.42

Quizplus · Accepted Answer

The critical F-value at α = 0.01 for (2, 15) degrees of freedom (between groups and within groups) is approximately 6.36.

A Researcher Wishes to Determine Whether There Is a Difference