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: Hq # H2 # Hg # Hq# Hs H: at least two u's are equal O Ho: H1 = H2 = H3 = H4= Hs H: at least two 4's are unequal O Ho: H1 # H2 # Hg # Hq # Hs H: all five u's are equal 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 Mean Source Squares Squares Treatments 4 30 Error Total 34 Give the test statistic. (Round your answer to two decimal places.)
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: Hq # H2 # Hg # Hq# Hs H: at least two u's are equal O Ho: H1 = H2 = H3 = H4= Hs H: at least two 4's are unequal O Ho: H1 # H2 # Hg # Hq # Hs H: all five u's are equal 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 Mean Source Squares Squares Treatments 4 30 Error Total 34 Give the test statistic. (Round your answer to two decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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Transcribed Image Text: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
Squares
Treatments
4
Error
30
Total
34
Give the test statistic. (Round your answer to two decimal places.)
f =
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