Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 14.2, Problem 21E
To determine
Explain whether to use one sample t test for testing the hypothesis for the true average ratio.
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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: 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: 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: 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 14 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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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: 321.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 439.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 390.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 362.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 402.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. ○ Ho: H₁ = H₂ = H3 = H4=H5 Ha: all five u's are unequal O Ho: H₁ H₂ H3 H4 H5 Ha: all five μ's are equal Ho H₁ = ₂ = 3 = H4 = 5 H₂: at least two μ's are unequal Ho: H₁ H₂ H3 H4 H5 Ha: 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.) Mean Degrees of Sum of freedom Squares Squares Source Treatments…arrow_forwardA 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: 323.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 423.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 393.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 362.7 452.9 461.4 433.1 410.6 384.2 362.6 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. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4 = ?5Ha: all five ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 = ?5Ha: at least two ?i's are unequalH0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 ≠ ?5Ha: all five ?i's are equal Test the relevant hypotheses using analysis of variance with ? = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Source Degrees offreedom Sum…arrow_forwardA statistical program is recommended. An article gave the data, shown in the table below, on dimensions of 27 representative food products. Product Material Height MaximumWidth MinimumWidth Elongation Volume 1 glass 7.7 2.50 1.80 1.50 120 2 glass 6.2 2.90 2.70 1.07 140 3 glass 8.5 2.15 2.00 1.98 175 4 glass 10.4 2.90 2.60 1.79 290 5 plastic 8.0 3.20 3.15 1.25 334 6 glass 8.7 2.00 1.80 2.17 87 7 glass 10.2 1.60 1.50 3.19 118 8 plastic 10.5 4.80 3.80 1.09 520 9 plastic 3.4 5.90 5.00 0.29 333 10 plastic 6.9 5.80 4.75 0.59 568 11 tin 10.9 2.90 2.80 1.88 337 12 plastic 9.7 2.45 2.10 1.98 173 13 glass 10.1 2.60 2.20 1.94 245 14 glass 13.0 2.60 2.60 2.50 238 15 glass 13.0 2.70 2.60 2.41 359 16 glass 11.0 3.10 2.90 1.77 305 17 cardboard 8.7 5.10 5.10 0.85 636 18 cardboard 17.1 10.20 10.20 0.84 1255 19 glass 16.5 3.50 3.50 2.36 649 20 glass 16.5 2.70 1.20 3.06 304 21 glass 9.7 3.00 1.70 1.62 310 22 glass 17.8 2.70 1.75 3.30 309 23 glass 14.0 2.50…arrow_forward
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