MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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: 331.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 409.1
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: 344.7 452.9 461.4 433.1 410.6 384.2 362.6
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
H: all five u's are unequal
SH = trl = Et = = :°H O
O Ho: H1 # H2 # H3 # H4 * H5
H: all five u's are equal
H: at least two u's are unequal
SH = *r = Et = Zyt = ' :°H O
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
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
0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
0.001 < P-value < 0.010
P-value < 0.001
State the conclusion in the problem context.
O Fail to reject H. There are differences in the true average axial stiffness for the different plate lengths.
Reject H. 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.
Fail to reject Ho: There are no differences in the true average axial stiffness for the different plate lengths.
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