What all statistic tests would need to be run for each scenario?

It seems like this should be simple but I don't want to mess it up. The charts below were given to start us off as guides but I received very little addition information.

Research study comparing cognition of placebo and supplemented groups, tested at baseline, 2 months, 4 months and 6 months.

Scenario A Medium effect size (0.5) power of 0.8 alpha level of 0.05 Total sample size of 118 participants; four groups of 29 participants per group

Scenario B Medium effect size (0.5) power of 0.8 alpha level of 0.05 Total sample size of 64 participants; two groups of 32 participants per group

Parametric tests (means)	Nonparametric tests (medians)
1-sample t test	1-sample Sign, 1-sample Wilcoxon
2-sample t test	Mann-Whitney test
One-Way ANOVA	Kruskal-Wallis, Mood's median test
Factorial DOE with one factor and one blocking variable	Friedman test

Parametric analyses	Sample size guidelines for nonnormal data
1-sample t test	Greater than 20
2-sample t test	Each group should be greater than 15
One-Way ANOVA	If you have 2-9 groups, each group should be greater than 15. If you have 10-12 groups, each group should be greater than 20.