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: 324.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 444.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 385.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 357.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 418.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. H: at least two u's are equal O Ho: H1 = H2 = H3 = H4 = H5 H: at least two 4's are unequal H: all five 4's are unequal SH = "r = Ert = ?rH = 't :H O H: all five u'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 Source Squares Squares Treatments Error Total

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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: 324.2 409.5 311.0 326.5 316.8
349.8 309.7
6: 444.1 347.2 361.0 404.5 331.0
348.9 381.7
8: 385.4 366.2 351.0 357.1
409.9
367.3 382.0
10: 357.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 418.4 441.8 419.9 410.7 473.4
441.2 465.8
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Ho: H1 H2 # Hz# H4#Hs
H: at least two u's are equal
O Ho: H1 = H2 = H3 = H4 = H5
H: at least two u's are unequal
H: all five u's are unequal
SH = + = Et = Zy = :°H O
O Ho: H1 H2 # H3 # H4 # 45
H: all five u's are equal
Test the relevant hypotheses using analysis of variance with a = 0.01. Display
results in an ANOVA table. (Round your answers to two decimal places.)
Degrees of
freedom
Sum of
Squares
Mean
Source
Squares
f
Treatments
Error
Total
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: 324.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 444.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 385.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 357.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 418.4 441.8 419.9 410.7 473.4 441.2 465.8 Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho: H1 H2 # Hz# H4#Hs H: at least two u's are equal O Ho: H1 = H2 = H3 = H4 = H5 H: at least two u's are unequal H: all five u's are unequal SH = + = Et = Zy = :°H O O Ho: H1 H2 # H3 # H4 # 45 H: all five u's are equal Test the relevant hypotheses using analysis of variance with a = 0.01. Display results in an ANOVA table. (Round your answers to two decimal places.) Degrees of freedom Sum of Squares Mean Source Squares f 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?
O P-value > 0.100
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
0.001 < P-value < 0.010
O P-value < 0.001
State the conclusion in the problem context.
O Reject H. There are no 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.
Reject Ho. There are differences in the true average axial stiffness for the different plate lengths.
O Fail to reject H: There are no differences in the true average axial stiffness for the different plate lengths.
Transcribed Image Text: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 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject H. There are no 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. Reject Ho. There are differences in the true average axial stiffness for the different plate lengths. O Fail to reject H: There are no differences in the true average axial stiffness for the different plate lengths.
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