what is the main consideration for conducting a student’s t-test or welch's t-test
Welch's t-test Welch's t-test is more robust than Student's t-test and maintains type I error rates close to nominal for unequal variances and for unequal sample sizes under normality. Furthermore, the power of Welch's t-test comes close to that of Student's t-test, even when the population variances are equal and sample sizes are balanced.[2] Welch's t-test can be generalized to more than 2-samples,[5] which is more robust than one-way analysis of variance (ANOVA).