normal, SRS, independent normal, SRS, independent
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The assumptions of a two-sample t-test are: Each sample come from a normally distributed population. Both populations have equal variances. The data are sampled independently from each population.
Underlying distribution is a concept that describes the density for the value of the measurement. It is a theoretical concept.
Gwerth Probablitiy
The standard deviation is the standard deviation! Its calculation requires no assumption.
The sample size must be equal