For each of the following, calculate the \(F\)-ratio \((F)\) and create an ANOVA summary table.

a. \(\quad N_{i}=10, \bar{X}_{1}=14.00, s_{1}=2.50, \bar{X}_{2}=12.50, s_{2}=2.10, \bar{X}_{3}=17.00, s_{3}=3.00\)

b. \(\quad N_{i}=16, \bar{X}_{1}=7.50, s_{1}=1.70, \bar{X}_{2}=8.00, s_{2}=3.00, \bar{X}_{3}=6.75, s_{3}=2.50, \bar{X}_{4}=8.10, s_{4}=1.89\)

c. \(N_{i}=14, \bar{X}_{1}=65.24, s_{1}=10.43, \bar{X}_{2}=71.52, s_{2}=9.86, \bar{X}_{3}=75.06\),

\(s_{3}=12.79, \bar{X}_{4}=69.62, s_{4}=11.94, \bar{X}_{5}=61.91, s_{5}=11.43\)