Data from a randomized block design are shown in the following table. $\begin{array}{c}
\quad\quad\quad\text { Treatment Levels }\
\begin{array}{l}
\
\text {Block 1}\
\text {Block 2}\
\text {Block3}
\end{array}
\begin{array}{l}
1 \
8 \
6 \
7
\end{array}
\begin{array}{l}
2 \
5 \
6 \
8
\end{array}
\begin{array}{c}
3 \
10 \
9 \
8
\end{array}
\begin{array}{r}
4\
7\
5\
9
\end{array}
\end{array}$

With $\alpha$ = 0.05, the observed F value for the blocking effects null hypothesis is__.
A)0.37
B)5.14
C)1.17
D)2.33
E)2.00

Question

Data from a randomized block design are shown in the following table. $\begin{array}{c}
\quad\quad\quad\text { Treatment Levels }\
\begin{array}{l}
\
\text {Block 1}\
\text {Block 2}\
\text {Block3}
\end{array}
\begin{array}{l}
1 \
8 \
6 \
7 
\end{array}
\begin{array}{l}
2 \
5 \
6 \
8 
\end{array}
\begin{array}{c}
3 \
10 \
9 \
8 
\end{array}
\begin{array}{r}
4\
7\
5\
9
\end{array}
\end{array}$

With $\alpha$ = 0.05, the observed F value for the blocking effects null hypothesis is__.
A)0.37
B)5.14
C)1.17
D)2.33
E)2.00

Quizplus · Accepted Answer

The observed F value for the blocking effects is calculated using the variance between blocks and the variance within blocks. Based on the given data, the correct F value is 1.17.

Data from a Randomized Block Design Are Shown in the Following