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. \(N_{1}=9, s_{1}=4.00, N_{2}=7, s_{2}=2.00\)

b. \(N_{1}=10, s_{1}=8.50, N_{2}=20, s_{2}=7.80\)

c. \(N_{1}=33, s_{1}=1.87, N_{2}=41, s_{2}=5.89\)

d. \(N_{1}=21, s_{1}=16.21, N_{2}=19, s_{2}=3.56\)