Final answer:
The control group in the professor's study is the class not given the doughnuts. This group serves as the baseline for comparison against the experimental group, which received the manipulation of free doughnuts to assess its impact on class participation. option a.
Step-by-step explanation:
The class that represents the control group in the professor's study to determine ways of producing more participation in her classes is the class not given the doughnuts. In an ideal experimental design, the control group is the one that is not exposed to the experimental manipulation. In this case, the independent variable is the provision of free doughnuts. Therefore, the class that did not receive this treatment serves as the control group for comparison against the experimental group, which is the class that received the doughnuts.