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:...


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<br>in:<br>4: 324.2 409.5 311.0 326.5 316.8<br>349.8 309.7<br>6: 444.1 347.2 361.0 404.5 331.0<br>348.9 381.7<br>8: 385.4 366.2 351.0 357.1<br>409.9<br>367.3 382.0<br>10: 357.7 452.9 461.4 433.1 410.6 384.2 362.6<br>12: 418.4 441.8 419.9 410.7 473.4<br>441.2 465.8<br>Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.<br>O Ho: H1 H2 # Hz# H4#Hs<br>H: at least two u's are equal<br>O Ho: H1 = H2 = H3 = H4 = H5<br>H: at least two u's are unequal<br>H: all five u's are unequal<br>SH = + = Et = Zy = :°H O<br>O Ho: H1 H2 # H3 # H4 # 45<br>H: all five u's are equal<br>Test the relevant hypotheses using analysis of variance with a = 0.01. Display<br>results in an ANOVA table. (Round your answers to two decimal places.)<br>Degrees of<br>freedom<br>Sum of<br>Squares<br>Mean<br>Source<br>Squares<br>f<br>Treatments<br>Error<br>Total<br>

Extracted 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.)<br>f =<br>What can be said about the P-value for the test?<br>O P-value > 0.100<br>O 0.050 < P-value < 0.100<br>O 0.010 < P-value < 0.050<br>0.001 < P-value < 0.010<br>O P-value < 0.001<br>State the conclusion in the problem context.<br>O Reject H. There are no differences in the true average axial stiffness for the different plate lengths.<br>O Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths.<br>Reject Ho. There are differences in the true average axial stiffness for the different plate lengths.<br>O Fail to reject H: There are no differences in the true average axial stiffness for the different plate lengths.<br>

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Jun 09, 2022
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