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

Question

(a) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis Ho: ì1 = ì2 = ì3 = ì4 = ì5, with n = 17 and á = 0.05.
F .

(b) Determine the critical region and critical value that are used in the classical approach for testing the null hypothesis Ho: ì1 = ì2 = ì3, with n = 19 and á = 0.05.
F .

Answer 1

a)

dfN = k-1
k = 5
dfN = 4

dFD = k(n-1)
dfD = 5(17-1) = 80

F = 2.49

b)

dfN = k-1
k = 3
dfN = 2

dFD = k(n-1)

dfD = 3(19-1)= 48

F = 4.08

Answer 2

a)

dfN = k-1
k = 5
dfN = 4

dFD = k(n-1)
dfD = 5(17-1) = 80

F = 2.49

b)

dfN = k-1
k = 3
dfN = 2

dFD = k(n-1)

dfD = 3(19-1)= 48

F = 3.23

Answer 3

Other way that you one-way ANOVA

a. dfN = 4
dfD = 12

F =3.26

b. dfN = 2
dfD = 15

F = 3.68