**Study of the Properties of Metal Plate-Connected Trusses**A study was conducted to investigate the axial stiffness index (kips/in.) of metal plate-connected trusses used for roof support. Observations were recorded for plate lengths of 4, 6, 8, 10, and 12 inches. The data collected is as follows:- **4 in:** 321.2, 409.5, 311.0, 326.5, 316.8, 349.8, 309.7- **6 in:** 351.3, 347.2, 361.6, 404.5, 331.0, 348.9, 381.7- **8 in:** 390.4, 366.2, 354.1, 409.9, 367.3, 382.0- **10 in:** 362.7, 452.9, 464.1, 410.6, 384.2, 362.6- **12 in:** 402.4, 441.8, 419.9, 410.7, 473.4, 441.2, 465.8**Research Question**Does variation in plate length affect the true average axial stiffness? The relevant hypotheses for analysis of variance (ANOVA) are stated as follows:- **\(H_0\):** \(\mu_1 = \mu_2 = \mu_3 = \mu_4 = \mu_5\) (Null hypothesis: all five means are equal)- **\(H_a\):** At least two means are unequal (Alternative hypothesis)**Hypothesis Testing**The hypotheses are tested using ANOVA with a significance level (\(\alpha\)) of 0.01. The results are displayed in an ANOVA table. Round answers to two decimal places.**ANOVA Table Structure:**| Source | Degrees of Freedom | Sum of Squares | Mean Squares | F ||--------------|--------------------|----------------|--------------|---------|| Treatments | | | | || Error | | | | || Total | | | | |**Test Statistic**Calculate the F-test statistic and round your answer to two decimal places.**Interpreting the P-value**

Denote μ1, μ2, μ3, μ4, and μ5 as the true mean stiffness index for plate lengths 4, 6, 8, 1, and 12…

Answered: A study of the properties of metal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Need help with parts e through f. I have already found the following: SST: 2,844 SSM: 1,922 SSR: 2,680.3047619047625 SSE: 163.69523809523753 SSTm: 158 SSRm: 964.9714285714293 The least square estimate for b: [2.19047619, 3.79047619, -1] estimate for σ2: 10.9130133333 Test statistic F(R): 81.8687646893 Currently stuck on how to test H0 : b = 0 against H1 : b ≠ 0 and constructing the 90% confidence interval. The given design matrix X is 18x3, has full rank of 3, so we have 18 observations.
67. The accompanying summary data on compression strength (Ib) for 12 × 10 x 8 in. boxes appeared in the article "Compression of Single-Wall Corrugated Shipping Containers Using Fixed and Floating Test Platens" (J. Testing and Evaluation, 1992: 318–320). The authors stated that "the difference between the compression strength using fixed and floating platen method was found to be small compared to normal variation in compression strength between identical boxes." Do you agree? Is your analysis predicated on any assumptions? Sample Size Sample Mean Sample SD Method Fixed 10 807 27 Floating 10 757 41
The vertical displacement v of a cracked slurry infiltrated fiber concrete member at maximum shear stress is given by v = a + bw, where w is the crack width, and a and b are estimated from data to be a = 2.5 ± 0.1 mm and b = 0.05 ± 0.01. Assume that w = 1.2 ± 0.1 mm.a) Estimate v, and find the uncertainty in the estimate.b) Of the uncertainties in w, a, and b, only one has a non-negligible effect on the uncertainty in v. Which one is it?
Find z if the normal curve area a) to the left of z is 0.1446 b) between -z and z is 0.2052 c) between –z & z is 0.9876
The article "Effect of Microstructure and Weathering on the Strength Anisotropy of Porous Rhyolite" (Y. Matsukura, K. Hashizume, and C. Oguchi, Engineering Geology, 2002:39- 17) investigates the relationship between the angle betwween cleavage and flow structure and the strength of porous rhyolite. Strengths (in MPa) were measured for a mumber of specimens cut at various angles. The mean and standard deviation of the strengths for each angle are presented in the following table. Angle Mean 0° 22.9 Sample Size Standard Deviation 2.98 12 15° 22.9 1.16 30° 19.7 3.00 45° 14.9 2.99 60° 13.5 2.33 75° 11.9 2.10 90 14.3 3.95 6. Can you conclude that strength varies with the angle?
The area under the normal standard curve to the left of z=0 is... a) 0.5 b)1 c)-0.5 d)-1
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…

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