If I process the following line in Wolfram Alpha
t-test mu0=60, xbar=58.5, s=3, n=20
I get back useful information without reference to the actual sample. Not expecting plots or tables, but is there a way to do something similar in Mathematica?
If what you mean is to run W|A functionality in Mathematica, the answer is yes.
Wolfram Alpha does look nice inside MMA, I have to admit. However, cells cannot be refreshed off-line.