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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%.

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%.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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) 4 43993 10998 10.48 1.96e-05 *** 1049 0 ***' 0.001 '**' 0.01 0.05 '.' 0.1 ' group Residuals 30 31475 Signif. codes: (a) (b) Tukey multiple comparisons of means 99% family-wise confidence level Fit: aov (formula p adj $group 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 pl. 8-pl.12 pl.6-p1.4 pl.8-pl.4 1 pl. 8-pl.6 -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 = plate_length group, data data) 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%.
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) 4 43993 10998 10.48 1.96e-05 *** 1049 0 ***' 0.001 '**' 0.01 0.05 '.' 0.1 ' group Residuals 30 31475 Signif. codes: (a) (b) Tukey multiple comparisons of means 99% family-wise confidence level Fit: aov (formula p adj $group 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 pl. 8-pl.12 pl.6-p1.4 pl.8-pl.4 1 pl. 8-pl.6 -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 = plate_length group, data data) 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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