What design (within or between subject) and statistical test (t-test, KS test, ANOVA, Z-test, Chi-Squared test) would you use in each of these scenarios? If you use ANOVA, you need to mention whether you will use a one way or Two-way ANOVA. You also need to mention the factors.

Doctors conducted a research study to test the impact of various types of music on agitation levels in patients who are in the early, middle, and last stages of Alzheimer's disease. Five patients in each stage of Alzheimer's are randomly assigned to one of the three forms of music and their agitation levels before and after listening were recorded. (Three forms of music: Easy listening, Mozart, and piano interludes).