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How to perform a two-sample test for the equality of the normal mean for independent samples with known(equal or unequal) variances? So for one-sample test,

How to perform a two-sample test for the equality of the normal mean for independent samples with known(equal or unequal) variances?

So for one-sample test, we have t-test for unknown variance and z-test for known variance. Does the same also apply to two-sample test? If so, what is the critical value of the z-test?

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