Four different types of fertilizers are used on raspberry plants. The number of raspberries on each randomly selected plant is given below. Find the critical value F0 to test the claim that the type of fertilizer makes no
Difference in the mean number of raspberries per plant. Use $$\alpha = 0.01$$ $$\begin{array} { c c c c }
\hline \text { Fertilizer 1 } & \text { Fertilizer 2 } & \text { Fertilizer 3 } & \text { Fertilizer 4 } \
\hline 6 & 8 & 6 & 3 \
5 & 5 & 3 & 5 \
6 & 5 & 3 & 3 \
7 & 5 & 4 & 4 \
7 & 5 & 2 & 4 \
6 & 6 & 3 & 5
\end{array}$$
A)4.94
B)4.43
C)26.69
D)4.22

Question

Four different types of fertilizers are used on raspberry plants. The number of raspberries on each randomly selected plant is given below. Find the critical value F0 to test the claim that the type of fertilizer makes no
Difference in the mean number of raspberries per plant. Use $$\alpha = 0.01$$ $$\begin{array} { c c c c } 
\hline \text { Fertilizer 1 } & \text { Fertilizer 2 } & \text { Fertilizer 3 } & \text { Fertilizer 4 } \
\hline 6 & 8 & 6 & 3 \
5 & 5 & 3 & 5 \
6 & 5 & 3 & 3 \
7 & 5 & 4 & 4 \
7 & 5 & 2 & 4 \
6 & 6 & 3 & 5
\end{array}$$
A)4.94
B)4.43
C)26.69
D)4.22

Quizplus · Accepted Answer

The critical value F0 is determined 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. For this problem, with 4 groups and 24 total observations, the critical value at $\alpha = 0.01$ is 4.94.

Four Different Types of Fertilizers Are Used on Raspberry Plants α=0.01\alpha = 0.01α=0.01

Four Different Types of Fertilizers Are Used on Raspberry Plants $\alpha = 0.01$