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.) You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. Source df Sum of Squares Mean Square f Mixture Error 13.989 Total 5664.505 Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let ?i = the true mean electrical resistivity for the ith mixture.) H0: ?1 = ?2 = ?3 = ?4 = ?5 = ?6 Ha: all six ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 = ?5 = ?6 Ha: at least two ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5 ≠ ?6 Ha: all six ?i's are equal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5 ≠ ?6 Ha: at least two ?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. 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. Fail to reject H0. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.)

You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question.

Source	Sum of Squares	Mean Square
Mixture
Error		13.989
Total	5664.505

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

H₀: ?₁ = ?₂ = ?₃ = ?₄ = ?₅ = ?₆
H_a: all six ?_i's are unequal H₀: ?₁ = ?₂ = ?₃ = ?₄ = ?₅ = ?₆
H_a: at least two ?_i's are unequal H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄ ≠ ?₅ ≠ ?₆
H_a: all six ?_i's are equal H₀: ?₁ ≠ ?₂ ≠ ?₃ ≠ ?₄ ≠ ?₅ ≠ ?₆
H_a: at least two ?_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. 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. Fail to reject H₀. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.

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