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: 321.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 439.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 390.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 362.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 402.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. Ho: H₁ = H₂ = H3 = H4 = 5 H₂: all five μ's are unequal O Ho: H1 H₂ H3 H4 H5 Ha: all five us are equal Ho H₁ H₂ H3 = H4=H5 H: at least two μ's are unequal Ho: H₁ H₂ H3 H4 H5 H: at least two μ's are equal 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 freedom Sum of Mean Squares Squares Source 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? 100 f

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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: 321.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 439.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 390.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 362.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 402.4 441.8 419.9 410.7 473.4 441.2 465.8
USE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
○ Ho: H₁ = H₂ = H3 = H4=H5
Ha: all five u's are unequal
O Ho: H₁ H₂ H3 H4 H5
Ha: all five μ's are equal
Ho H₁ = ₂ = 3 = H4 = 5
H₂: at least two μ's are unequal
Ho: H₁ H₂ H3 H4 H5
Ha: at least two μ's are equal
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.)
Mean
Degrees of Sum of
freedom Squares Squares
Source
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?
OP-value > 0.100
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: 321.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 439.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 390.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 362.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 402.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. ○ Ho: H₁ = H₂ = H3 = H4=H5 Ha: all five u's are unequal O Ho: H₁ H₂ H3 H4 H5 Ha: all five μ's are equal Ho H₁ = ₂ = 3 = H4 = 5 H₂: at least two μ's are unequal Ho: H₁ H₂ H3 H4 H5 Ha: at least two μ's are equal 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.) Mean Degrees of Sum of freedom Squares Squares Source 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? OP-value > 0.100
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