Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 10.1, Problem 8E
A study 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 index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in:
| 4: | 309.2 | 409.5 | 311.0 | 326.5 | 316.8 | 349.8 | 309.7 |
| 6: | 402.1 | 347.2 | 361.0 | 404.5 | 331.0 | 348.9 | 381.7 |
| 8: | 392.4 | 366.2 | 351.0 | 357.1 | 409.9 | 367.3 | 382.0 |
| 10: | 346.7 | 452.9 | 461.4 | 433.1 | 410.6 | 384.2 | 362.6 |
| 12: | 407.4 | 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 and test the relevant hypotheses using analysis of variance with a 5 .01. Display your results in an ANOVA table. [Hint:
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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: 329.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 425.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 389.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 341.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 414.4 441.8 419.9 410.7 473.4 441.2 465.8
USE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Ho: M₁ = H₂ = 13 = H4 = 1₂
H₂: all five μ's are unequal
O Ho: My H₂ H3 ‡ M4 # M5
H₂: at least two μ's are equal
O Ho: My # H₂ H3 # H4 # H5
H₂: all five us are equal
=
=
o Hỏi khi là không = 3 = Mà khô
H₂: at least two μ's are unequal
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.)
Sum of
Squares
Source
Treatments
Error…
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: 315.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 405.1
347.2 361.0 404.5 331.0 348.9 381.7
8:
399.4 366.2 351.0 357.1
409.9 367.3
382.0
10: 353.7 452.9
461.4 433.1
410.6 384.2
362.6
12: 417.4
441.8 419.9 410.7
473.4 441.2
465.8
n USE SALT
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# H5
H: at least two µ's are equal
O Ho: H1 = H2 = H3= H4= H5
H: at least two u's are unequal
O Ho: H1 # H2 # Hz# H4# Hs
H: all five u's are equal
O Ho: H1 = H2 = Hz3 = H4= Hs
H: all five u,'s are unequal
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
Squares
Mean
Source…
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: 333.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 433.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 382.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 350.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 413.4 441.8 419.9 410.7 473.4 441.2 465.8
LUSE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Hoi Hy #fly #Hz" Ha #Hs
H: all five μ's are equal
O Hoi H₂H₂ = H3 = HaHs
H: at least two μ's are unequal
O Hoi H₂ = H₂ = H₂ "HaHs
H: all five μ's are unequal
O Hoi H₂ #4₂ # Hz*H4 *H5
H: at least two μ's are equal
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 Sum of Mean
freedom Squares Squares
Error
Total…
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
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