4. An article in the journal Materials Engineering (1989, Vol. II,No. 4, pp. 275–281) describes the results of tensile adhesiontests on 22 U-700 alloy specimens. The load at specimenfailure is as follows (in megapascals):19.810.114.97.515.415.415.418.57.912.711.911.411.414.117.616.715.819.58.813.611.911.4(a) Determine the sample mean and the sample standard deviation(b) Find the Cl if the population is normally distributed.

Answered: Image /qna-images/answer/034d5a11-f708-4b80-9a8c-d25174727dd6.jpg

Answered: 4. An article in the journal Materials…

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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Suppose a researcher is interested in the effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student Intervention Group: Group 1BMI(kg/m2)Student Control Group: Group 2BMI(kg/m2)A18.6A21.6B18.2B18.9C19.5C19.4D18.9D22.6E24.1F23.6Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program could decrease BMI (Kg/m2). Use an alpha level of 0.05 X=BMI mu_1 (?1): mean BMI of population from which Group 1 was sampled mu_2 (?2): mean BMI of population from which Group 2 was sampled What is the P-value answer choices 0.025…
Exercise 1. Suppose that X ~ N(7, 2.25). Data x is an observed IID sample of size n = 500 from the distribution of X. That is, the IID Data Model is: x + X, where X - IID(500) X IID(500) N(7,2.25). (a) Give a rough sketch of your guess at the density histogram of data x, including labeled tick marks on the horizontal axis. Explain why you expect the density histogram of the data x to look this way. (b) The sample mean x and the sample variance s2 of these 500 data values were computed. What would you guess their values are and why? (c) How many (give a count, not a percentage) of the 500 data values in x would you guess are less than 6? Explain why you believe your guess should be reasonable.
Chemists examined the relationship between the maximum absorption rate y (in nanomoles) and the Hammell subsliuent constant x for metachyoophane compounds. The data are given below. Hammett Maximum Observation Constant Ahsorption 0.01 200 12 0.75 346 13 0.06 303 14 -0.26 314 15 0.17 301 0.42 332 -0.18 303 0.52 343 19 1.02 368 10 0.38 326 0.63 339 Summary quantities are Ey = 3574, E = 1188426, Ex, = 3.52, E x} = 2.7238, and x, V- 1226.27. Assume that the two variables are related according to the simple linear regression model. 1. The least squares estimate of the slope is .Round to 1 decimal place. 2. The least squares estimate of the intercept is . Round to 1 decimal place. 3. If the Hammett constant x is set to 0.17, what is the predicted maximum absorption? Round to 1 decimal place. 4. The observed value of maximum absorption at x = 0.17 is y = 301. What is the value of the coresponding residual? Round to 1 decimal place. 5. The totell sum of squares of y is and the error sum of…
In an experiment to compare the tensile strengths of I = 6 different types of copper wire, J = 5 samples of each type vwere used. The between-samples and within-samples estimates of o were computed as MSTT = 2677.3 and MSE = 1131.2, respectively. Use the F test at level 0.05 to test Ho: 41 = 42 = ...= H6 versus H: at least two uj's are unequal. Calculate the test statistic. (Round your answer to two decimal places.) f=
A graduate student did a material coupon test for a new material and obtained the stress-strain data to develop a material model. However, due to measurement noise, the data reported in the table below is not clean. i 1 0.005 113 0.01 199 3 0.015 245 4 0.02 319 5 0.025 355 6 0.03 383 0.035 419 8 0.04 488 9 0.045 530 10 0.05 536 Thus the supervisor asks the graduate student to perform a regression analysis assuming the following model form: o = Ee" Note: Please keep at least 2 significant digits/figures after the decimal point for E and B (e.g., input 0.33 for 1/3, 1.13 for 1.127551). E = B = Note: Please keep at least 4 significant digits/figures after the decimal point for R (e.g., input 0.3333 for 1/3, 1.1276 for 1.127551). R-squared value R2= R? = 1-
An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below: ... x = Temperature (°C) | 1100 1200 1300 1100 1500 1200 1300 y - Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 Find an estimate of o2 Input answers up to two decimal places. o2= Blank 1
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?
1) The height distribution of a (somewhat bizarre) population can be written as f(h) = a(h-ho) over the range ho ≤h ≤ h₁, where a = 0.7 m² and ho= 0.3 m. When ho> h> h₁, f(h) = 0. a. Sketch f(h). b. What is the value of h₁ (Hint: normalization condition)? c. Assuming that the mass m of each inhabitant is related to his or her height by m = ch², where c = 30 kg/m², what is the mean mass of an inhabitant?
A DIFFERENT WAY Activity No. 2 Directions: Count the unit cubes and find the volume of cach rectangular prism. One U-1 m 10 12 13 Across Down 3. 5. 2. V - V = V = V = m3 8. V = m3 V = m3 10. 10. V = m3 V = m3 m3 Page 21 of 108
The thermal conductivity (R-Value) of 23 samples of newly developed inulating material follows: 4.626 4.755 4.596 4.398 4,497 4.833 4.866 4.398 4.638 4.482 4.644 4.878 4.32 4.824 4.56 4.434 4,626 4.533 4.377 4.599 4.596 4.569 4.191 Which of the following equations should be used in to find a 95% one-sided lower Cl on the mean thermal conductivity. One answer only. X- to.05,23 X- to.05/2,23 x+ to.05/2,23 O3- tam/zz sus+ amiaa SHSX+ to.05/2,23 HsX+ to.05,23 X- to.05 SHSX+ to.05,23 None from the given choices
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 415 420 421 422 426 427 432 434 437 438 446 447 450 452 457 463 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 420 430 440 450 460 420 430 440 450 460 Comment on any interesting features. (Select all that apply.) There is one outlier. n The data is strongly skewed. n The data appears to be centered near 428. n There are no outliers. n The data appears to be centered near 438. n There is little or no skew. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes o No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) Does the interval suggest that 440 is a plausible value for true average degree of polymerization? o Yes o No Does the interval suggest that 456 is a…
In an experiment to compare the tensile strengths of I = 5 different types of copper wire, J = 4 samples of each type were used. The between-samples and within-samples estimates of o² were computed as MSTR = 2676.3 and MSE = 1107.2, respectively. Use the F test at level 0.05 to test Ho: M₁ = ₂ = ... = μ5 versus H₂: at least two μ's are unequal. You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. Calculate 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> 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. The data indicates there is not a difference in the mean tensile strengths. O Fail to reject Ho. The data indicates there is not a difference in the mean tensile strengths. O Fail to reject Ho. The data indicates a difference in…

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