Re: hypothesis testing on two population mean.

kataya wrote:
I have given a take home assignment to test whether sample means taken
from two independent populations are same, the population means and
population variances are unknown. what would be the test statistic for
that test?
And in case of the two populations are dependent can i use the same
test statistic?


Actually, no test is needed. You can simply look at the sample means to "test" whether they are equal.

The problem is poorly posed. It is likely that the question was meant to involve equal population means.

Whether you can use the same test statistic depends on what is meant by "test statistic". For example, if the test statistic is the difference in sample means, then the answer is yes, you can use the same test statistic.

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