Question 2: A study of the properties of metal plate-connected trusses used for roof support yielded 35 observations on axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 inches. Use the given output from an analysis of variance with a = 0.01 to answer (a) and (b). Let 'pl.4' denote a plate length of 4 inches, similarly for the other lengths. Df Sum Sq Mean Sq F value Pr(>F) group 4 43993 10998 10.48 1.96e-05 *** Residuals 30 31475 1049 Tukey multiple comparisons of means 99% family-wise confidence level Fit: aov(formula - plate_length group, data - data) $group (a) (b) 1wr diff upr p adj pl.12-pl.10 29.814286 -31.98149 91.610065 0.4363237 pl.4-p1.10 -74.142857 -135.93864 -12.347078 0.0015294 pl.6-pl.10 -39.300000 -101.09578 22.495779 0.1827394 pl.8-pl.10 -32.228571 -94.02435 29.567208 0.3591363 pl.4-pl.12-103.957143 -165.75292 -42.161364 0.0000130 -69.114286-130.91006 -7.318507 0.0033328 -62.042857 -123.83864 -0.247078 0.0096439 34.842857 -26.95292 96.638636 0.2846960 41.914286 -19.88149 103.710065 0.1373852 7.071429 -54.72435 68.867208 0.9938376 pl.6-pl.12 pl.8-pl.12 pl.6-p1.4 pl.8-p1.4 signif. codes: 0***** 0.001 0.01 0.05. 0.11 pl.8-p1.6 Does variation in plate length have any effect on true average axial stiffness? Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
Question 2: A study of the properties of metal plate-connected trusses used for roof support yielded 35 observations on axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 inches. Use the given output from an analysis of variance with a = 0.01 to answer (a) and (b). Let 'pl.4' denote a plate length of 4 inches, similarly for the other lengths. Df Sum Sq Mean Sq F value Pr(>F) group 4 43993 10998 10.48 1.96e-05 *** Residuals 30 31475 1049 Tukey multiple comparisons of means 99% family-wise confidence level Fit: aov(formula - plate_length group, data - data) $group (a) (b) 1wr diff upr p adj pl.12-pl.10 29.814286 -31.98149 91.610065 0.4363237 pl.4-p1.10 -74.142857 -135.93864 -12.347078 0.0015294 pl.6-pl.10 -39.300000 -101.09578 22.495779 0.1827394 pl.8-pl.10 -32.228571 -94.02435 29.567208 0.3591363 pl.4-pl.12-103.957143 -165.75292 -42.161364 0.0000130 -69.114286-130.91006 -7.318507 0.0033328 -62.042857 -123.83864 -0.247078 0.0096439 34.842857 -26.95292 96.638636 0.2846960 41.914286 -19.88149 103.710065 0.1373852 7.071429 -54.72435 68.867208 0.9938376 pl.6-pl.12 pl.8-pl.12 pl.6-p1.4 pl.8-p1.4 signif. codes: 0***** 0.001 0.01 0.05. 0.11 pl.8-p1.6 Does variation in plate length have any effect on true average axial stiffness? Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:Question 2: A study of the properties of metal plate-connected trusses used for roof support yielded 35 observations on
axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 inches. Use the given output from an analysis of variance
with a = 0.01 to answer (a) and (b). Let 'pl.4' denote a plate length of 4 inches, similarly for the other lengths.
Df Sum Sq Mean Sq F value Pr(>F)
group
4 43993 10998 10.48 1.96e-05 ***
Residuals 30 31475 1049
signif. codes:
(a)
(b)
0 ***** 0.001 **** 0.01 *** 0.05 *.' 0.1 *
Tukey multiple comparisons of means
99% family-wise confidence level
Fit: aov(formula - plate_length group, data data)
$group
p adj
diff
1wr
upr
pl.12-pl.10 29.814286 -31.98149 91.610065 0.4363237
pl.4-pl.10 -74.142857 -135.93864 -12.347078 0.0015294
pl.6-pl.10 -39.300000-101.09578 22.495779 0.1827394
pl.8-pl.10 -32.228571 -94.02435 29.567208 0.3591363
pl.4-pl.12 -103.957143 -165.75292 -42.161364 0.0000130
pl.6-pl.12 -69.114286 -130.91006 -7.318507 0.0033328
pl.8-pl.12 -62.042857 -123.83864 -0.247078 0.0096439
p1.6-p1.4 34.842857 -26.95292 96.638636 0.2846960
pl.8-p1.4 41.914286 -19.88149 103.710065 0.1373852
7.071429
'1 pl.8-pl.6
-54.72435 68.867208 0.9938376
Does variation in plate length have any effect on true average axial stiffness?
Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
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