In an experiment to determine factors related to weld toughness, the Charpy V-notch impacttoughness in ft - 1b (v) was measured for 22 welds at 0°Č, along with the lateral expansionat the notch in % (x,), and the brittle fracture surface in % (x2). The data are presented in thefollowing table.X1X2y3220.0283923.0282012.8322116.0292510.2312011.6283217.6252917.8282716.0294326.227229.6322215.232188.8433220.4242212.2362514.6362510.4292011.6302012.6312416.236189.2342816.830a. Fit the model y = Bo + B1 X1 + ɛ. For each coefficient, test the null hypothesis that it isequal to 0.b. Fit the model y = Bo + B, xz + ɛ. For each coefficient, test the null hypothesis that it isequal to 0.c. Fit the model y = Bo + B1 X1 + Bzx2 + ɛ. For each coefficient, test the null hypothesisthat it is equal to 0.d. Which of the models in parts (a) through (c) is the best of the three? Why do you think%3D+ E.so?

a). Software procedure to obtain regression in EXCEL. Enter the given data in EXCEL sheet as given…

Answered: In an experiment to determine factors…

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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The thickness of a flange on an aircraft component is uniformly distributed between 0.2050 and 0.2150 micrometers. Determine the following: Proportion of flanges that exceeds 0.2125 micrometers in flange thickness Mean and variance of flange thickness O a. P(X 0.2125) = 0.25, E(X) = 0.2100, V(X) = 8.33 x 106 Oc NONE Od. P(X > 0.2125) = 0.75, E(X) = 0.2100, V(X) = 8.33 x 10-6
The following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Сoef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 s = 0.8657 R-sq = 73.9% R-sq (adj) 72.8% Analysis of Variance SOURCE DF SS MS F P Regression 53.004 53.004 70.77 0.000 Error 25 18.736 0.749 Total 26 71.74 (a) Use the output to calculate a confidence interval (in MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) 1 MPа Interpret the resulting interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true average change in strength associated with a…
As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: YF: 28, 34, 32, 27, 28, 32, 31, 35, 32, 28 OF: 19, 14, 21, 13, 12 Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use ?1 for younger females and ?2 for older females.) H0: ?1 − ?2 = 10Ha: ?1 − ?2 > 10H0: ?1 − ?2 = 10Ha: ?1 − ?2 < 10 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 Calculate the test statistic and determine the P-value. (Round your test…
A sample of 100 dry baltery cells tested to find the length of life produced the tollowing results : X= 12 hours, o = 3 hours Assuming the data to be normally distributed, what percentage of battlery cells are expected to have life : (i) More than 15 hours, () Less than 6 hours, and (ii) between 10 and 14 hours ? (Given z: 2.5 0.67 Area 0.4938 0.4772 D0.3413 0.2487
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Based on the image attached, it shows monthly wind speed data (measured in m/s) was obtained. The researcher claimed that the average wind speed distribution is less than 12m/s.
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: ... 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
Ishikawa et al. (Journal of Bioscience and Bioengineering, 2012) studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. Assume that the standard deviation is known to be 0.66 dyne-cm2. Find a 95% confidence interval for the mean adhesion. Use the Scientific Method of Answering (Given, Required, Formula and Solution).
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?
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. . TInterval (13.046,22.15) x=17.598 Sx=16.01712719 n=50 a. What is the number of degrees of freedom that should be used for finding the critical value tα/2? df=__ (Type a whole number.) b. Find the critical value tα/2corresponding to a 95% confidence level. tα/2= (Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom. A. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. B. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. C. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary…
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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