Four different types of insecticides are used on strawberry plants. The number of strawberries on eachrandomly selected plant is given below. Use α = 0.01. Which of the following is a correct statement about themeans? $$\begin{array} { c c c c }
\hline \text { Insecticide } 1 & \text { Insecticide } 2 & \text { Insecticide } 3 & \text { Insecticide } 4 \
\hline 6 & 5 & 6 & 3 \
6 & 8 & 3 & 5 \
5 & 5 & 3 & 3 \
7 & 5 & 2 & 4 \
7 & 5 & 4 & 4 \
6 & 6 & 3 & 5
\end{array}$$
A) The mean of Insecticide 1 is equal to the mean of Insecticide 2.
B) The mean of Insecticide 2 is equal to the mean of Insecticide 3.
C) The mean of Insecticide 3 is equal to the mean of Insecticide 1.
D) The mean of Insecticide 1 is equal to the mean of Insecticide 4.

Question

Four different types of insecticides are used on strawberry plants. The number of strawberries on eachrandomly selected plant is given below. Use α = 0.01. Which of the following is a correct statement about themeans? $$\begin{array} { c c c c } 
\hline \text { Insecticide } 1 & \text { Insecticide } 2 & \text { Insecticide } 3 & \text { Insecticide } 4 \
\hline 6 & 5 & 6 & 3 \
6 & 8 & 3 & 5 \
5 & 5 & 3 & 3 \
7 & 5 & 2 & 4 \
7 & 5 & 4 & 4 \
6 & 6 & 3 & 5
\end{array}$$
A) The mean of Insecticide 1 is equal to the mean of Insecticide 2.
B) The mean of Insecticide 2 is equal to the mean of Insecticide 3.
C) The mean of Insecticide 3 is equal to the mean of Insecticide 1.
D) The mean of Insecticide 1 is equal to the mean of Insecticide 4.

Quizplus · Accepted Answer

CThe means of Insecticide 1 and Insecticide 2 are not equal; Insecticide 1 has a mean of 37/6, and Insecticide 2 has a mean of 34/6. The means of Insecticide 3 (21/6) and Insecticide 1 (37/6) are also not equal, indicating that options B and D are incorrect. However, without performing a statistical test, we cannot definitively conclude equality or inequality of means based solely on calculation; thus, the correct choices are based on the calculation of means, which shows that none of the pairs have exactly equal means.

Four Different Types of Insecticides Are Used on Strawberry Plants