For each of the following, calculate between-group variance (left(M S_{mathrm{BG}} ight)). a. (N_{i}=20, bar{X}_{1}=5.50, bar{X}_{2}=3.75, bar{X}_{3}=4.25) b.

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

a. \(N_{i}=20, \bar{X}_{1}=5.50, \bar{X}_{2}=3.75, \bar{X}_{3}=4.25\)

b. \(N_{i}=8, \bar{X}_{1}=14.85, \bar{X}_{2}=18.33, \bar{X}_{3}=19.92, \bar{X}_{4}=12.61\)

c. \(\quad N_{i}=9, \bar{X}_{1}=40.81, \bar{X}_{2}=38.74, \bar{X}_{3}=33.29, \bar{X}_{4}=34.76, \bar{X}_{5}=41.15\)

d. \(N_{i}=6, \bar{X}_{1}=3.97, \bar{X}_{2}=4.56, \bar{X}_{3}=4.05, \bar{X}_{4}=3.31, \bar{X}_{5}=3.74, \bar{X}_{6}=2.91\)