No, the student’s two-sample t-test does not require that individual samples are distributed uniformly. You certainly could derive it that way, but it’s not a necessary assumption. All it actually needs is normality of the group means via CLT—see e.g. here.
No, the student’s two-sample t-test does not require that individual samples are distributed uniformly. You certainly could derive it that way, but it’s not a necessary assumption. All it actually needs is normality of the group means via CLT—see e.g. here.