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 critical value F0 to test the claim that there is no difference in the average age of each group. Use $$\alpha$$ = 0.01. $$\begin{array} { c c c }
\hline \text { Elementary Teachers } & \text { High School Teachers } & \text { Community College Teachers } \
\hline 23 & 41 & 39 \
28 & 38 & 45 \
27 & 36 & 36 \
37 & 47 & 61 \
25 & 42 & 45 \
52 & 31 & 35
\end{array}$$
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 elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Find
The critical value F0 to test the claim that there is no difference in the average age of each group. Use $$\alpha$$ = 0.01. $$\begin{array} { c c c } 
\hline \text { Elementary Teachers } & \text { High School Teachers } & \text { Community College Teachers } \
\hline 23 & 41 & 39 \
28 & 38 & 45 \
27 & 36 & 36 \
37 & 47 & 61 \
25 & 42 & 45 \
52 & 31 & 35
\end{array}$$
A)6.36
B)5.09
C)9.43
D)5.42

Quizplus · Accepted Answer

The critical value F0 is determined by using an F-distribution table with degrees of freedom for the numerator (k-1) and the denominator (N-k), where k is the number of groups and N is the total number of observations. With $$\alpha$$ = 0.01, the critical value is 6.36.

A Researcher Wishes to Determine Whether There Is a Difference α\alphaα

A Researcher Wishes to Determine Whether There Is a Difference $\alpha$