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. Use α = 0.01.Which of the following is a correct statement about the means? $$\begin{array} { c c c }
\hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \
\hline 23 & 41 & 36 \
28 & 36 & 45 \
27 & 38 & 39 \
37 & 47 & 61 \
25 & 42 & 45 \
52 & 31 & 35 \
\hline
\end{array}$$
A) There is not enough evidence to suggest that the means are different.
B) The mean age of middle school teachers is different from the mean age of high school teachers.
C) The mean age of middle school teachers is different from the mean age of college teachers.
D) The mean age of high school teachers is different from the mean age of college teachers.

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. Use α = 0.01.Which of the following is a correct statement about the means? $$\begin{array} { c c c } 
\hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \
\hline 23 & 41 & 36 \
28 & 36 & 45 \
27 & 38 & 39 \
37 & 47 & 61 \
25 & 42 & 45 \
52 & 31 & 35 \
\hline
\end{array}$$
A) There is not enough evidence to suggest that the means are different.
B) The mean age of middle school teachers is different from the mean age of high school teachers.
C) The mean age of middle school teachers is different from the mean age of college teachers.
D) The mean age of high school teachers is different from the mean age of college teachers.

Quizplus · Accepted Answer

The p-value is 0.012, which is greater than α = 0.01. Therefore, there is not enough evidence to suggest that the means are different.

A Researcher Wishes to Determine Whether There Is a Difference