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: 331.2 409.5 311.0 326.5 316.8 349.8 309.7<br>6: 409.1<br>347.2 361.0 404.5 331.0 348.9 381.7<br>8: 390.4 366.2<br>351.0 357.1 409.9 367.3<br>382.0<br>10: 344.7 452.9 461.4 433.1 410.6 384.2 362.6<br>12: 418.4 441.8 419.9 410.7 473.4 441.2<br>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>H: at least two u's are equal<br>H: all five u's are unequal<br>SH = trl = Et = = :°H O<br>O Ho: H1 # H2 # H3 # H4 * H5<br>H: all five u's are equal<br>H: at least two u's are unequal<br>SH = *r = Et = Zyt = ' :°H O<br>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.)<br>Degrees of<br>freedom<br>Sum of<br>Mean<br>Source<br>Squares<br>Squares<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: 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
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>0.050 < P-value < 0.100<br>O 0.010 < P-value < 0.050<br>0.001 < P-value < 0.010<br>P-value < 0.001<br>State the conclusion in the problem context.<br>O Fail to reject H. There are differences in the true average axial stiffness for the different plate lengths.<br>Reject H. There are no 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>Fail to reject Ho: There are no differences in the true average axial stiffness for the different plate lengths.<br>

Extracted 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. 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="">
Jun 10, 2022
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