For each of the following, calculate the standard error of the difference (left(s_{bar{X}_{1}}-bar{X}_{2} ight)) (be sure to

For each of the following, calculate the standard error of the difference \(\left(s_{\bar{X}_{1}}-\bar{X}_{2}\right)\) (be sure to use the formula for unequal sample sizes).

a. \(N_{1}=8, s_{1}=2.30, N_{2}=12, s_{2}=2.00\)

b. \(N_{1}=25, s_{1}=5.15, N_{2}=22, s_{2}=7.80\)

c. \(N_{1}=13, s_{1}=4.50, N_{2}=19, s_{2}=5.89\)

d. \(N_{1}=50, s_{1}=21.00, N_{2}=45, s_{2}=17.50\)