**Title: Analysis of Axial Stiffness in Metal Plate-Connected Trusses**### Study Overview:A study was conducted on the properties of metal plate-connected trusses used for roof support. This study observed the axial stiffness index (measured in kips/in.) for varying plate lengths of 4, 6, 8, 10, and 12 inches.#### Observations:- **4 in:** 315.2, 409.5, 311.0, 326.5, 316.8, 349.8, 309.7- **6 in:** 347.4, 382.7, 351.0, 350.1, 341.0, 348.9, 381.7- **8 in:** 399.4, 366.2, 351.3, 377.5, 409.9, 367.3, 382.0- **10 in:** 353.7, 452.9, 461.4, 425.4, 424.6, 384.2, 362.6- **12 in:** 417.4, 441.8, 419.9, 410.7, 437.4, 441.2, 465.8### Hypothesis Testing:The objective is to determine if variation in plate length impacts the true average axial stiffness. The hypotheses are stated using analysis of variance (ANOVA).- **Option Selected:** - **Null Hypothesis (H₀):** μ₁ = μ₂ = μ₃ = μ₄ = μ₅ (All means are equal) - **Alternative Hypothesis (Hₐ):** At least two μᵢ’s are unequal### ANOVA Testing:The data will be analyzed using ANOVA with a significance level of α = 0.01. The results will be displayed in an ANOVA table, and answers will be rounded to two decimal places.#### ANOVA Table Structure:| Source | Degrees of Freedom | Sum of Squares | Mean Squares | F ||-------------|---------------------|----------------|-------------|--------|| Treatments | 4 | | | || Error | 30 | | | || Total | 34 | |

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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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Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: МОЕ 29.9 33.3 33.6 35.4 35.6 36.0 36.3 36.4 37.6 37.6 Strength 6.0 7.1 7.4 6.2 8.2 6.9 6.9 7.7 6.7 6.6 МОЕ 38.8 38.9 39.7 40.9 42.7 42.7 43.4 45.5 46.1 47.0 Strength 6.9 6.4 7.8 9.1 8.3 8.8 7.7 9.8 7.3 7.6 МОЕ 48.1 49.2 51.8 62.5 69.9 79.6 80.1 Strength 9.8 7.7 7.6 11.5 11.2 11.7 10.8 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ŷ = 7.595, s; = 0.186 when x = 40 and ŷ = 9.706, = 0.263 %3D for x = 60. The simple linear regression model also resulted in a value of s = 0.9008. (a) Explain why s; is larger when x = 60 than when x = 40. The farther x is from…
Q3: Shear strengths of 60 spot welds in a titanium alloy follow: 5408 5431 5475 5442 5376 5388 5459 5422 5416 5435 5420 5429 5401 5446 5487 5416 5382 5357 5388 5407 5469 5416 5377 5454 5375 5409 5459 5445 5463 5408 5481 5453 5422 5354 5421 5406 5399 5391 5477 5447 5329 5445 5436 5454 5453 5428 5444 5423 5441 5412 5384 5473 5418 5465 5427 5421 5396 Construct a Frequency Distribution Table (FDT) for the weld strength through finding: 1) Range 2) Number of Classes 3) width of Classes 4) all classes 5) only the frequency of fifth class. 5457 5429 5466
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.0 7.2 6.8 6.5 7.0 6.3 7.9 9.0 9.7 8.1 7.7 11.6 11.3 11.8 10.7 observations for cylinders. 5.9 7.2 7.3 6.3 8.1 6.8 8.4 8.7 7.8 9.7 7.4 7.7 The data below give accompanying strength 6.7 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.1 7.0 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.4 Prior to obtaining data, denote the beam strengths by X₁,..., Xm and the cylinder strengths by Y₁,..., Y. Suppose that the Xi's constitute a random sample from a distribution with mean ₁ and standard deviation 0₁ and that the Y's form a random sample (independent of the X;'s) from another distribution with mean ₂ and standard deviation ₂. (a) Use rules of expected value to show that X - Y is an unbiased estimator of μ₁ - μ₂. O E(X)=√E(X) - E(Y) = μ₁ - H₂ ⒸE(XY) = E(X) - E(X) = 14₁ 14₂ O E(X-= E(X) - E(X) = 11 - 12 nm E(X - Y = nm(E(X) - E()) = μ₁ − 44₂ | E(X) = (E(X) - E(M)² = Calculate the estimate for the given data. (Round your…
ANSWER D AND E ONLY
Suppose a researcher collects data on the bacterial contamination, measured in colony-forming unit per milliliter, for both upstream and downstream sections of 35 rivers. The data is plotted with upstream bacterial contamination on the horizontal axis and downstream bacterial contamination on the vertical axis. The Scioto River is an outlier in the ?y‑direction. What must be true about this river? The upstream bacterial contamination for this river is much higher or lower than the rest of the rivers in the data set. The downstream bacterial contamination for this river is much higher or lower than other rivers in the data set that have similar upstream bacterial contamination. This river is an influential observation. The downstream bacterial contamination for this river is much higher or much lower than the rest of the rivers in the data set. The absolute value of the residual of this river is large.
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
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.
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.3 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 9.0 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. 6.8 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 9.0 7.6 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.8 Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean ?1 and standard deviation ?1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean ?2 and standard deviation ?2. (a) Calculate the estimate for the given data. (Round your answer to three decimal places.) (b) Use rules of variance to obtain an expression for the variance and standard deviation (standard error) of the estimator in part (a). V(X − Y) = V(X) + V(Y) =…
by using r -studio pls do parts a-c
Calculate the average grade using the polygonal method for the following scenario (round your answer to two decimal places): Hole Grade Area 1 0.24 31.6 2 0.53 40.3 3 0.42 35.8 0.18 39.7

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