Final answer:
Arne's experiment is flawed because it contains two independent variables, which are the presence of detergent and differing sunlight exposure, making it impossible to determine which variable is affecting plant growth.
Step-by-step explanation:
The issue with Arne's experimental setup is that he has introduced two independent variables: the presence of detergent in the soil and differing amounts of sunlight (because one set is in the sun and one in the shade). This makes it impossible to determine which of these factors is causing any observed differences in plant growth, and thus, the experiment lacks proper control and replication. The essential aspect of a well-designed experiment is to change only one factor at a time (the independent variable) while keeping all other conditions constant, enabling the researcher to attribute any differences in the outcome (the dependent variable) to the experimental treatment.