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. Sum of Squares Mean Square Source Mixture Error Total df O Ho: H₁ H₂ H3 H4 H5* H6 H₂: at least two μ's are equal 5664.365 Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let μ, the true mean electrical resistivity for the /th mixture.) Ho: H₁ H₂ H3 H4 H5 H6 H: all six μ's are unequal Hoi H₁ H₂ H3 * H₂ * H₂ * H6 H₂: all six μ's are equal 14.009 Ho: H₁ H₂ H3 H4 = H₂H6 H: at least two μ's are unequal f Give the test statistic. (Round your answer to two decimal places.) f= What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 OP-value < 0.001 State the conclusion in the problem context. O Fail to reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. O Reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. O Fail to reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. O Reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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.
Sum of
Squares
Source
Mixture
Error
Total
df
5664.365
Mean Square
# # #
#
Ho: M₁ M₂ M3 ‡μ4 * μ5 ‡μ6
H: at least two μ's are equal
Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let , = the true mean electrical resistivity for the /th mixture.)
O Ho: M₁ = H₂ H3 = H4 = μ5 = 46
=
H₂: all six μ's are unequal
O Ho: M₂ M₂ H3 #H4* H 5 # HG
H₂: all six μ's are equal
14.009
O Ho: M₁ = H₂ = μ3 = μ₁4 = μ5 = 16
H₂: at least two μ's are unequal
f
Give the test statistic. (Round your answer to two decimal places.)
f =
What can be said about the P-value for the test?
O P-value > 0.100
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O 0.001 < P-value < 0.010
OP-value < 0.001
State the conclusion in the problem context.
O Fail to reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.
O Reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.
Fail to reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.
Reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.
Transcribed Image Text: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. Sum of Squares Source Mixture Error Total df 5664.365 Mean Square # # # # Ho: M₁ M₂ M3 ‡μ4 * μ5 ‡μ6 H: at least two μ's are equal Test appropriate hypotheses at level 0.05. State the appropriate hypotheses. (Let , = the true mean electrical resistivity for the /th mixture.) O Ho: M₁ = H₂ H3 = H4 = μ5 = 46 = H₂: all six μ's are unequal O Ho: M₂ M₂ H3 #H4* H 5 # HG H₂: all six μ's are equal 14.009 O Ho: M₁ = H₂ = μ3 = μ₁4 = μ5 = 16 H₂: at least two μ's are unequal f Give the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 OP-value < 0.001 State the conclusion in the problem context. O Fail to reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. O Reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. Fail to reject Ho. There is insufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures. Reject Ho. There is sufficient evidence to conclude that the true mean electrical resistivity is not the same for all 6 mixtures.
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