For each of the following, calculate between-group variance (left(M S_{mathrm{BG}} ight)). a. (quad N_{i}=13, bar{X}_{1}=3.00, bar{X}_{2}=5.00, bar{X}_{3}=10.00)

For each of the following, calculate between-group variance \(\left(M S_{\mathrm{BG}}\right)\).

a. \(\quad N_{i}=13, \bar{X}_{1}=3.00, \bar{X}_{2}=5.00, \bar{X}_{3}=10.00\)

b. \(\quad N_{i}=11, \bar{X}_{1}=19.00, \bar{X}_{2}=13.00, \bar{X}_{3}=21.00, \bar{X}_{4}=15.00\)

c. \(N_{i}=15, \bar{X}_{1}=1.13, \bar{X}_{2}=1.97, \bar{X}_{3}=2.60, \bar{X}_{4}=2.16, \bar{X}_{5}=3.82\)

d. \(\quad N_{i}=9, \bar{X}_{1}=57.96, \bar{X}_{2}=64.68, \bar{X}_{3}=61.72, \bar{X}_{4}=68.53, \bar{X}_{5}=62.04, \bar{X}_{6}=56.09\)