A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 320.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 401.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 395.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 415.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho M1 M2 M3 = μ4=μ5 Ha all five μ's are unequal Ho: M1 M2 M3 #44 #μ5 Ha all five μ's are equal Ho: M₁ μ2 43 #44 #μ5 H₁: at least two μ,'s are equal O Ho M1 M2 M3 = μ4=μ5 Ha at least two μ's are unequal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of Sum of Mean Source Squares Squares f freedom Treatments Error Total 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. ◇ Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths. Fail to reject Ho. There are no differences in the true average axial stiffness for the different plate lengths. Reject Ho. There are differences in the true average axial stiffness for the different plate lengths. Reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
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Author:Saeed Moaveni
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Chapter12: Electric Current And Related Variables In Engineering
Section12.2: Electrical Circuits And Components
Problem 6BYG
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A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in:
4: 320.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 401.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 395.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 415.4 441.8 419.9 410.7 473.4 441.2 465.8
USE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Ho M1 M2 M3 = μ4=μ5
Ha
all five μ's are unequal
Ho: M1 M2 M3 #44 #μ5
Ha all five μ's are equal
Ho: M₁ μ2 43 #44 #μ5
H₁: at least two μ,'s are equal
O Ho M1 M2 M3 = μ4=μ5
Ha at least two μ's are unequal
Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.)
Degrees of Sum of Mean
Source
Squares
Squares
f
freedom
Treatments
Error
Total
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.
◇ Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths.
Fail to reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.
Reject Ho. There are differences in the true average axial stiffness for the different plate lengths.
Reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.
Transcribed Image Text:A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 320.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 401.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 395.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 415.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho M1 M2 M3 = μ4=μ5 Ha all five μ's are unequal Ho: M1 M2 M3 #44 #μ5 Ha all five μ's are equal Ho: M₁ μ2 43 #44 #μ5 H₁: at least two μ,'s are equal O Ho M1 M2 M3 = μ4=μ5 Ha at least two μ's are unequal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of Sum of Mean Source Squares Squares f freedom Treatments Error Total 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. ◇ Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths. Fail to reject Ho. There are no differences in the true average axial stiffness for the different plate lengths. Reject Ho. There are differences in the true average axial stiffness for the different plate lengths. Reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.
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