How are null and alternative hypothesis for the 2 sample tests different from those of the one-sample tests?

Thank you in advance.|||For a one sample test you are generally comparing a population parameter (say the population mean) to a pre-specified known value. For example





H0: mu %26gt; mu0


H1: mu %26lt;= mu0





where mu is the unknown population mean and mu0 is a pre-specified known value.





In the two sample case, you generally are comparing one population parameter to the other. For example, for comparing two population means you might test:





H0: mu1 %26lt; mu2


H1: mu1 %26gt;= mu2





mu1 is the population mean for population 1 and likewise for mu2. Both mu1 and mu2 are unknown.





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