A researcher wants to test a new memory performance supplement that has shown some promise in primate studies where subjects were given the supplement followed by the task of identifying pictures of other animals three days later. The dependent variable was measured by the number of pictures correctly identified. The researchers noticed that while there was a positive correlation between the group given the supplement and number of correctly identified pictures as compared to the control group, they also notice that there seemed to be some variation between the males and females of the primates. Additionally, two different amounts of the drug have been proposed for consideration. Therefore, in the current study, the researchers want to divide the subject primates (N=60) by gender (male: n=30; female: n=30), and give them a 10 mg dose in one treatment condition, and a 25 mg dose in the other treatment condition. For this, they are dividing each group of males and females in half, and randomly assigning them to either the 10 mg or the 25 mg groups. Therefore, they have developed a 2 x 2 factorial design with different participants in each cell. Using this information, design this study using a factorial ANOVA design and answer the following questions.

In order to determine whether the sample size is sufficient to continue with the study, if a priori power analysis in G* Power was conducted, with the following information: =.01, Desired power = .80, Estimated effect size ²=.24 (from prior studies)

What would be the minimum sample size?