Question

Consider the following ANOVA experiments. (Round your answers to two decimal places.)

(a) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃ = μ₄, with n = 19 and α = 0.025.
F ≥

(b) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅, with n = 22 and α = 0.01.
F ≥

(c) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis H₀: μ₁ = μ₂ = μ₃, with n = 21 and α = 0.025.
F ≥

Answer 1

Solution:-

a)

n = 19, m = 4

DF_Between = m - 1

DF_Between = 3

DF_Error = n - m

DF_Error = 15

α = 0.025

F_Region> 4.153

F_Critical = 4.153
b)

n = 22, m = 5

DF_Between = m - 1

DF_Between = 4

DF_Error = n - m

DF_Error = 17

α = 0.01

F_Region> 4.669

F_Critical = 4.669

c)

n = 21, m = 3

DF_Between = m - 1

DF_Between = 2

DF_Error = n - m

DF_Error = 18

α = 0.025

F_Region> 4.56

F_Critical = 4.56