Data from a completely randomized design are shown in the following table. $$\begin{array}{l}
\text { Treatment Level }\
\begin{array} { | c | c | c | }
\hline 1 & 2 & 3 \
\hline 27 & 26 & 27 \
\hline 26 & 22 & 29 \
\hline 23 & 21 & 27 \
\hline 24 & 23 & 26 \
\hline
\end{array}
\end{array}$$ For a one-way ANOVA using $\alpha$= 0.05, the observed F value is ________.
A)5.66
B)3.19
C)18.08
D)4.34
E)8.98

Question

Data from a completely randomized design are shown in the following table. $$\begin{array}{l}
\text { Treatment Level }\
\begin{array} { | c | c | c | } 
\hline 1 & 2 & 3 \
\hline 27 & 26 & 27 \
\hline 26 & 22 & 29 \
\hline 23 & 21 & 27 \
\hline 24 & 23 & 26 \
\hline
\end{array}
\end{array}$$ For a one-way ANOVA using $\alpha$= 0.05, the observed F value is ________.
A)5.66
B)3.19
C)18.08
D)4.34
E)8.98

Quizplus · Accepted Answer

The correct answer is A.The observed F value is 5.66. This can be calculated by using the formula F = MST / MSE, where MST is the mean square for treatments and MSE is the mean square for error. In this case, MST = 18.08 and MSE = 3.19, so F = 18.08 / 3.19 = 5.66.

Data from a Completely Randomized Design Are Shown in the Following