Question

1.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 : ______ _____________ 13.969 _____

Total : ______ 5664.435 ___________ _____

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

A)H0: μ1 = μ2 = μ3 = μ4 = μ5 = μ6 Ha: at least two μi's are unequal

B)H0: μ1 = μ2 = μ3 = μ4 = μ5 = μ6 Ha: all six μi's are unequal

C)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 ≠ μ6 Ha: all six μi's are equal

D)H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 ≠ μ6 Ha: at least two μi's are equal

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

f = ?

4. What can be said about the P-value for the test? Select an answer

A)P-value > 0.100

B)0.050 < P-value < 0.100

C)0.010 < P-value < 0.050

D)0.001 < P-value < 0.010

E)P-value < 0.001

5.State the conclusion in the problem context. Select an answer

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

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

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

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

Answer 1

Ans:

1)

	SS	df	MS	F
Treatments	3569.09	5	713.82	51.10
error	2095.35	150	13.969
Total	5664.44	155

2)H0: μ1 = μ2 = μ3 = μ4 = μ5 = μ6

Ha: at least two μi's are unequal

3)

F=51.10

4)p-value=FDIST(51.10,5,150)=0.0000

P-value < 0.001

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