Choose the best scientific design to test the question “which soil type results in the highest yield of tomatoes: clay soil or sandy soil? ”

a. measure the growth of 10 tomato plants that are grown in clay soil, and compare it to the growth of 10 tomato plants that are grown in sandy soil.
b. measure the growth of a tomato plant that is grown in clay soil, and compare it to the growth of a tomato plant that is grown in sandy soil.
c. count the number of tomatoes that are produced by a tomato plant that is grown in clay soil, and compare it to the number of tomatoes that are produced by a tomato plant that is grown in sandy soil.
d. compare the average number of tomatoes that are produced by 10 tomato plants that are grown in clay soil to the average number of tomatoes that are produced by 10 tomato plants that are grown in sandy soil.

c. Count the number of tomatoes that are produced by a tomato plant that is grown in clay soil, and compare it to the number of tomatoes that are produced by a tomato plant that is grown in sandy soil.

Explanation:

Scientific design is like a detail procedure for conducting the research. It includes a typical hypothesis or a scientific inquiry which is required to be proved. It includes a method of survey or data collection, and an experimental procedure.  

An independent variable can be changed or manipulated by the experimenter the impact of which can be observed on the dependent variable. The dependent variable is the outcome of the experiment.  

According to the given situation, soil type is the independent variable and the the yield of tomatoes should be the dependent variable. As the type of soil chosen will directly influence the yield of tomatoes.

On the basis of the above information, c. Count the number of tomatoes that are produced by a tomato plant that is grown in clay soil, and compare it to the number of tomatoes that are produced by a tomato plant that is grown in sandy soil. is the correct option.

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.