Question

1

Answer i 8. A stu dy of the properties of metal plate-connected trusses used for roof support "Modeling Joints Made with Light-Gauge Metal Connector Plates," Forest Products J, 1979: 39-44) yielded the following observations on axial-stiffness in lengths 4, 6, 8, 10, and 12 in: dex (kips/in.) for plate 4: 309.2 409.5 311.0 326.5 404.5 316.8 331.0 409.9 410.6 349.8 348.9 367.3 384.2 309.7 381.7 382.0 362.6 12: 407.4 441.8 419.9 410.7 473.4 441.2 465.8 402.1 3472361.0 8: 392.4 3662 351.0357.1 409.9 10: 346.7 452.9 461.4 433.1 Does variation in plate length have any effect on true average axial stiffness? State and test the relevant hypotheses using analysis of variance with a-.01. Display your results in an ANOVA table. [Hint: z, 5241 ,420.7%)

Answer 1

AnSen- obsc envalion on axial - etiffness index Fon Plate lengths 4, 4, 8, lo, and 12 H,: At least on e Calculate the evene s shoHsHic o the doto as Follows Hean 4 309 s 3o 35 368 . D6 348.934.; 331, Ο 361 . D4ou.S 347.2 4-02-1 382.d 31S. 13 409.9367. 3.382 351-0357. I 6 366.2 3924 461.4 433. I 41o. 6 384L 362-6 u52.9 0 346 4658 u1o.7 43.4 4 CS Scanned with CamScanner

2. Leven teot con be calculated as CK-I) IN-K) Absolote deviations f obsenvahon eviafions Z 301.2o - 333.1 4.ol Cs Scanned with CamScanner

1402. lo-368. o6 34.04 乙 I 17.27 -60.66 £6.66 : 14014.437 .머 2. .297 76 2 6.2 icalcolate the absoulle devfahon Pon all tte vatlon wand tabulate) CamScanner Follows

2i Zyol 16 29 229, 61 164丨 'S9 23.SI до 86 893 3644 37.06 เจ.16 13.64 . ou 7 06 13 8 o32.83 6.8?14. 83 uS.Sq 54,04 2S 3 3.636.73 29.9? Calcolate the nand mean of absolute devlalon 2. 乙 リ 28.63 35 : 87S.99 35 9S. o29 s Scanned with CamScanner

(2ý.z;文ニ12y.ol.xsĩ (1ii-z;). (34.oy-29.04)し : lbo 12 . 19 Tab添test values a" 6.3ร 35 u186 32.8s 102. 8losst 288 31 153.q' ト4.3 3.8.106.0389 6 loo 1o. 62.47 53. 23 1.43 3키Bo 81.아 99.23 6NA3 249.SP 120.82 '121.1. 184.35 64$,→เริ o 51228 12 76.8 calcolate the statistic as 96 583 288-i? 231,거 29.89 13-93 268.16 (7)(26. S3-25.029)十17)124.04.25·。294 (*)121. 25.0A 966.9 3103. 56t 853.82 + .- Scnd with CamScanner

: (35-5) 6.9) 184 4 1565.58 1984 42 4696.5 31937 6 evence fafl to neiect the nul hpotess o d wih (4,30) ence accert the hull hothe .Thenefone conclude ttar eneİsno S.Jnrtcant dFenence) C Sned with Vanian ce CamScanner

Dcteimtne the ANOvA able Fon the Jatao Mini tab follo cl?ck on Stat porn the menu ban select Arwa ) select one wa om -the Ifst Select the data Colom n nt the Resfonse ) SPecif t he ConPidenee level os 11.o s Scanned with CamScanner

One-way ANOVA: 4 Inch, 6 Inch, 8 Inch, 10 Inch, 12 Inch Source DF SSMS Factor 4 43993 10998 Error 30 31475 1049 Total 34 75468 10.4 .KX) S-32.39 R-Sq 58.29% R-Sq ( adj ) -52.73% - Individual 90% CIs For Mean Based on Pooled StDev Level N Mean StDev ---+---+-- 4 Inch 7 333.21 36.59 (*--) 6 Inch 7 368.06 28.57 8 Inch 7 375.13 20.83 10 Inch 7 407.36 44.51 12 Inch 7 437.17 26.00 440 stín 320 Ant Pooled StDev- 32.39