Final answer:
The nutritionist used a matched pairs experimental design, where each participant received both treatments, and comparisons were made within individuals.
Step-by-step explanation:
The experimental design used by the nutritionist is a matched pairs experimental design. In this approach, each participant acts as their own control by undergoing both treatments, with the order of treatments being assigned at random. The participants' energy levels are compared within individuals for each treatment rather than between different individuals, thus controlling for individual differences. This design is ideal for experiments where each participant can receive both treatments, and it effectively deals with potential variability among participants that could affect the outcome.