A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Find
The test statistic F to test the claim that there is no difference in the average age of each group. $$\begin{array} { c c c }
\hline \text { Elementary Teachers } & \text { High School Teachers } & \text { Community College Teachers } \
\hline 23 & 36 & 45 \
28 & 38 & 45 \
27 & 41 & 36 \
52 & 47 & 61 \
25 & 42 & 39 \
37 & 31 & 35 \
\hline
\end{array}$$
A)2.517
B)2.913
C)3.189
D)4.312

Question

A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Find
The test statistic F to test the claim that there is no difference in the average age of each group. $$\begin{array} { c c c } 
\hline \text { Elementary Teachers } & \text { High School Teachers } & \text { Community College Teachers } \
\hline 23 & 36 & 45 \
28 & 38 & 45 \
27 & 41 & 36 \
52 & 47 & 61 \
25 & 42 & 39 \
37 & 31 & 35 \
\hline
\end{array}$$
A)2.517
B)2.913
C)3.189
D)4.312

Quizplus · Accepted Answer

The correct answer is A because the test statistic F is 2.517. This can be calculated using the formula F = (MSB - MSW) / MSW, where MSB is the mean square between groups and MSW is the mean square within groups. In this case, MSB = 250.67 and MSW = 100.00, so F = (250.67 - 100.00) / 100.00 = 2.517.

A Researcher Wishes to Determine Whether There Is a Difference