Four different types of insecticides are used on strawberry plants. The number of strawberries on eachrandomly selected plant is given below. Find the critical value F-value to test the hypothesis that the type ofinsecticide makes no difference in the mean number of strawberries per plant. Use α = 0.01. $$\begin{array} { c c c c }
\hline \text { Insecticide } 1 & \text { Insecticide } 2 & \text { Insecticide } 3 & \text { Insecticide 4 } \
\hline 6 & 8 & 6 & 3 \
6 & 5 & 3 & 5 \
5 & 5 & 4 & 3 \
7 & 5 & 2 & 4 \
7 & 5 & 3 & 5 \
6 & 6 & 3 & 4 \
\hline
\end{array}$$
A) 4.94
B) 4.43
C) 26.69
D) 4.18

Question

Four different types of insecticides are used on strawberry plants. The number of strawberries on eachrandomly selected plant is given below. Find the critical value F-value to test the hypothesis that the type ofinsecticide makes no difference in the mean number of strawberries per plant. Use α = 0.01. $$\begin{array} { c c c c } 
\hline \text { Insecticide } 1 & \text { Insecticide } 2 & \text { Insecticide } 3 & \text { Insecticide 4 } \
\hline 6 & 8 & 6 & 3 \
6 & 5 & 3 & 5 \
5 & 5 & 4 & 3 \
7 & 5 & 2 & 4 \
7 & 5 & 3 & 5 \
6 & 6 & 3 & 4 \
\hline
\end{array}$$
A) 4.94
B) 4.43
C) 26.69
D) 4.18

Quizplus · Accepted Answer

The critical F-value is determined by the degrees of freedom for the numerator (k-1, where k is the number of groups) and the denominator (N-k, where N is the total number of observations). With 4 groups and 24 total observations, the degrees of freedom are 3 and 20. Using an F-distribution table at α = 0.01, the critical F-value is approximately 4.94.

Four Different Types of Insecticides Are Used on Strawberry Plants