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: 333.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 433.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 382.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 350.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 413.4 441.8 419.9 410.7 473.4 441.2 465.8 LAUSE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Hoi H₂H₂ H3 H4 H5 H: all five μ's are equal O Ho! H₂H₂H₂H₂Hs H: at least two μ's are unequal OH₂H₂H₂H₂ H₁ H₂ H: all five μ's are unequal O Hoi H₂H₂Hz * H₂ * H₂ 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 Sum of Mean freedom Squares Squares Source Treatments Error Total Give the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? OP-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 H. There are no differences in the true average axial stiffness for the different plate lengths. O Reject Ho. There are differences in the true average axial stiffness for the different plate lengths. O Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths. O Reject H.. There are no differences in the true average axial stiffness for the different plate lengths

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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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: 333.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 433.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 382.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 350.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 413.4 441.8 419.9 410.7 473.4 441.2 465.8
LUSE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Hoi Hy #fly #Hz" Ha #Hs
H: all five μ's are equal
O Hoi H₂H₂ = H3 = HaHs
H: at least two μ's are unequal
O Hoi H₂ = H₂ = H₂ "HaHs
H: all five μ's are unequal
O Hoi H₂ #4₂ # Hz*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 Sum of Mean
freedom Squares Squares
Error
Total
Source
Treatments
Give the test statistic. (Round your answer to two decimal places.)
What can be said about the P-value for the test?
OP-value > 0.100
O 0.050 < P-value < 0.100
0.010 < P-value < 0.050
f
O 0.001 < P-value < 0.010
O P-value < 0.001
State the conclusion in the problem context.
O Fail to reject H. There are no differences in the true average axial stiffness for the different plate lengths.
O Reject Ho. There are differences in the true average axial stiffness for the different plate lengths.
O Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths.
O 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: 333.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 433.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 382.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 350.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 413.4 441.8 419.9 410.7 473.4 441.2 465.8 LUSE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Hoi Hy #fly #Hz" Ha #Hs H: all five μ's are equal O Hoi H₂H₂ = H3 = HaHs H: at least two μ's are unequal O Hoi H₂ = H₂ = H₂ "HaHs H: all five μ's are unequal O Hoi H₂ #4₂ # Hz*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 Sum of Mean freedom Squares Squares Error Total Source Treatments Give the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? OP-value > 0.100 O 0.050 < P-value < 0.100 0.010 < P-value < 0.050 f O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Fail to reject H. There are no differences in the true average axial stiffness for the different plate lengths. O Reject Ho. There are differences in the true average axial stiffness for the different plate lengths. O Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths. O Reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.
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