Question

An experiment was carried out to compare electrical resistivity for six different low-permeability concrete bridge deck mixtures. There were 26 measurements on concrete cylinders for each mixture; these were obtained 28 days after casting. The entries in the accompanying ANOVA table are based on information in an article. Fill in the remaining entries. (Round your answer for f to two decimal places.)

Source	df	Sum of Squares	Mean Square	f
Mixture
Error			13.989
Total		5664.495

Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let μ_i = the true mean electrical resistivity for the ith mixture.)

H₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅ ≠ μ₆
H_a: all six μ_i's are equalH₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆
H_a: at least two μ_i's are unequal     H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆
H_a: all six μ_i's are unequalH₀: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅ ≠ μ₆
H_a: at least two μ_i's are equal

Give the test statistic. (Round your answer to two decimal places.)

f =

What can be said about the P-value for the test?

P-value > 0.100

0.050 < P-value < 0.100   

  0.010 < P-value < 0.050

0.001 < P-value < 0.010

P-value < 0.001

State the conclusion in the problem context.

Reject H₀. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.

Fail to reject H₀. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.     

Fail to reject H₀. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures

.Reject H₀. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.

Answer 1

Source	df	SS	MS	F
mixture	5	3566.145	713.229	50.98
error	150	2098.350	13.989
total	155	5664.495

H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆
H_a: at least two μ_i's are unequal

f =50.98

P-value < 0.001

Reject H₀. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.