Question: PLEASE HELP! I need help determining sample size and power estimate for two pretend research grant proposals. The professor mentioned there is a magical number

PLEASE HELP! I need help determining sample size and power estimate for two "pretend" research grant proposals. The professor mentioned there is a "magical number" around 30...

The experiment facts:

Scenario A:

Compare the cognitive improvements of four groups (placebo, supplement A, supplement B, supplement AB combined).

Test each group at baseline, 2 months, 4 months 6 months.

Scenario B

I'm not sure if this changes anything but the other experiment is the same but only to compare cognitive improvements of two groups (one placebo, one supplemented), and tested at baseline 2months 4 months 6months.

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