Final answer:
In a 2 x 2 factorial between-subjects experiment with 8 subjects per cell, you multiply the number of cells (4) by the number of subjects per cell (8) to get the total number of participants, which is 32.
Step-by-step explanation:
When determining the total number of participants in a 2 x 2 factorial between-subjects experiment, we need to consider the number of levels for each factor and the number of subjects per cell. In this case, there are two factors, each with two levels, which gives us 2 x 2 = 4 cells.
In a 2 x 2 factorial between-subjects experiment, there are 2 factors that are being manipulated, each with 2 levels. This means that there are a total of 2 x 2 = 4 different conditions or cells in the study. Each cell has 8 subjects, so to find the total number of participants, you multiply the number of cells by the number of subjects per cell: 4 x 8 = 32. Therefore, the total number of participants in the study is 32.
With 8 subjects per cell, we simply multiply the number of cells by the number of subjects per cell to get the total number of participants. Thus, the calculation is 4 cells x 8 subjects/cell = 32 participants. Therefore, the correct answer is D) 32.