Final answer:
The correct statistical design is a two-way between-subjects ANOVA, which allows for the examination of the effects of two independent variables and their interaction on a dependent variable.
Step-by-step explanation:
The appropriate statistical design for the study mentioned, where a professor is comparing the exam grades based on the presence or absence of a learning disability and seating position within the classroom, is a two-way between-subjects ANOVA. This is because there are two independent variables: learning disability status (yes or no) and seating location (front, middle, or back).
A two-way ANOVA can examine the effect of each independent variable on the dependent variable (exam grades) and the interaction between them. Since we are comparing different individuals across separate groups, this is a between-subjects design, meaning each participant is only in one group and does not experience the other conditions.