For each of the following, calculate the standard error of the difference scores (left(s_{bar{D}} ight)) and the

For each of the following, calculate the standard error of the difference scores \(\left(s_{\bar{D}}\right)\) and the \(t\)-test for dependent means.

a. \(N_{D}=10, \bar{X}_{D}=12.00, s_{\bar{D}}=9.00\)

b. \(N_{D}=19, \bar{X}_{D}=3.52, s_{\bar{D}}=6.14\)

c. \(N_{D}=8, \bar{X}_{D}=2.89, s_{\bar{D}}=4.86\)

d. \(N_{D}=30, \bar{X}_{D}=1.44, s_{\bar{D}}=8.32\)