Question: For a matched-group design, we wish to test \({{H}_{0}}:{{\mu }_{D}}=0\) against \({{H}_{1}}:{{\mu }_{D}}>0\) at \(\alpha =0.05\). Using a sample of 16 participants, we find \(\bar{D}=2\) and \({{s}_{D}}=5.6\).

(a) Carry out a t-test