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: 329.2 409.5 311.0 326.5 316.8 349.8 309.76: 425.1 347.2 361.0 404.5 331.0 348.9 381.78: 389.4 366.2 351.0 357.1 409.9 367.3 382.010: 341.7 452.9 461.4 433.1 410.6 384.2 362.612: 414.4 441.8 419.9 410.7 473.4 441.2 465.8USE SALTDoes 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 = 1₂H₂: all five μ's are unequalO Ho: My H₂ H3 ‡ M4 # M5H₂: at least two μ's are equalO Ho: My # H₂ H3 # H4 # H5H₂: all five us are equal==o Hỏi khi là không = 3 = Mà khôH₂: at least two μ's are unequalTest 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 ofSquaresSourceTreatmentsErrorTotalDegrees offreedomMeanSquaresGive the test statistic. (Round your answer to two decimal places.)f =What can be said about the P-value for the test?O P-value > 0.100O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O 0.001 < P-value < 0.010O P-value < 0.001fState the conclusion in the problem context.O Reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.O Reject Ho. There are differences in the true average axial stiffness for the different plate lengths.O Fail to reject Ho. There are differences in the true average axial stiffness for the different plate lengths.O Fail to reject Ho. There are no differences in the true average axial stiffness for the different plate lengths.

The data shows the properties of metal plate-connected trusses used for roof for plate lengths 4, 6,…

Answered: A study of the properties of metal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was carried out to compare the writing lifetimes of four premium brands of pens. It was thought that the writing surface might affect life- time, so three different surfaces were randomly se- tected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., con- stant pressure and a fixed angle). The accompany- ing table shows the two lifetimes (min) obtained for each brand-surface combination. In addition, EEEr = 11,499,492 and EExj, = 22,982,552, Writing Surface 1 2 3 1 709, 659 713, 726 660, 643 Brand 2 668, 685 722, 740 692, 720 of Pen 3 659, 685 666, 684 678, 750 4 698, 650 704, 666 686, 733 4112 4227 4122 4137 5413 5621 5564 16,598 Carry out an appropriate ANOVA, and state your conclusions.
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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 8.7 7.2 7.7 6.5 7.8 7.0 11.8 9.7 7.9 8.1 6.3 7.6 7.8 6.0 11.6 7.0 10.7 7.3 6.8 9.0 6.8 7.7 9.7 6.3 8.6 7.4 11.3 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex; = 220.3.] (Round your answer to three decimal places.) MPа State which estimator you used. O s/x (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. MPа State which estimator you used. O s/X (c) Calculate a point estimate of the population standard deviation o. [Hint: Ex;² = 1868.85.] (Round your answer to three decimal places.) MPа Interpret this point estimate. This estimate describes the spread of the data. This estimate describes the bias of the data. This estimate describes the center of the data. This estimate describes the linearity of the data.
The power of the slope t-test is NOT determined by: A)direction of slope B) sample size C) effect size D) alpha
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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.5 7.2 7.3 6.3 8.1 6.8 7.0 7.1 6.8 6.5 7.0 6.3 7.9 9.0 8.9 8.7 7.8 9.7 7.4 7.7 9.7 7.9 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.4 7.1 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.5 Prior to obtaining data, denote the beam strengths by X,, . Xm and the cylinder strengths by Y,, . Y. Suppose that the X,'s constitute a random sample from a distribution with mean u, and standard deviation o, and that the Y's form a random sample (independent of the X's) from another distribution with mean H2 and standard deviation (a) Use rules of expected value to show that X – Y is an unbiased estimator of µ, - µ. E(X – Y) E(X) – E(Y) = H1 - H2 nm E(X - Y) (E) – E(Y)* = l1 - 42 E(X - Y) = nm( E(X) – E(Yn) = H1 - H2 E(X – Y) E(X - Y) = V E(X) – E(Y) = µ1 – H2 E(X) – E(Y) = µ1 - 42 Calculate the estimate for the given data.…
According to the U.S. Department of Agriculture (USDA), cartons of 12 large eggs should have a minimum weight of 24 oz; that's an average egg weight of 2 oz or more. You suspect that a certain producer sells eggs of inferior caliber (lower weight) in its cartons labeled large eggs. What parameter is your inference about? A) is the mean carton weight for all eggs from that producer. B) μ is the number of eggs in a carton of large eggs. C) μ is the mean egg weight for all eggs from that producer. D) μ is the mean egg weight for a certain carton. State H0 and Ha for a test to assess your suspicion. A) H0: μ = 12 oz; Ha: μ > 12 oz. B) H0: μ = 12 oz; Ha: μ < 12 oz. C) H0: μ = 2 oz; Ha: μ < 2 oz. D) H0: μ = 2 oz; Ha: μ ≠ 2 oz.
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