An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafıne PSZ Powders" (1991, Vol. 74, pp. 1547-1553)considered the microstructure of the ultrafıne powder of partially stabilized zirconia as a function of temperature. The data are shownbelow:x= Temperature (°C) 1100 1200 1300 1100 1500 1200 1300y = Porosity (%)30.811.4 7.719.2613.53.6(a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slopein the simple linear regression model. Find an estimate of o.i(Round your answer to 3 decimal places.)(Round your answer to 5 decimal places.)6 =i(Round your answer to 2 decimal places.)(b) Estimate the mean porosity for a temperature of 1447 °C.ŷ =(Round your answer to 2 decimal places.)

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Answered: An article in the Journal of the…

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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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 = 18.19 kgf/cm? for the modified mortar (m = 42) and y = 16.85 kgf/cm? for the unmodified mortar (n = 30). Let u, and u, be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. Assuming that o, = 1.6 and o, = 1.3, test Hn: 4, - H, = 0 versus H: u, - u, > 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.) P-value = Compute the probability of a type II error for the test of part (a) when 4 - Hz = 1. (Round your answer to four decimal places.) Suppose the investigator decided to use a level 0.05 test and vwished B = 0.10 when u, - uz = 1. If m = 42, what value of n…
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Using the data, create a 2x2 table and test the hypothesis that Vitamin D Deficiency is a cause of Alzheimer's Disease.
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An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 416 420 421 422 425 428 432 435 437 439 445 446 449 451 458 462 464 (a) Construct a boxplot of the data. 420 430 440 450 460 420 430 440 450 460 420 430 440 450 460 420 430 440 450 Comment on any interesting features. (Select all that apply.) O There is little or no skew. V There are no outliers. O The data is strongly skewed. V The data appears to be centered near 438. The data appears to be centered near 428. There is one outlier. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) O O
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Fill in the blank: In a test of Ho: µ = 5 vs. H: µ# 5, the sample mean was X = 4, and the P- value was 0.22. This means that if µ = 5, and the experiment were repeated 100 times, we would expect to obtain a value of y between 4 and 6 approximately %3D times. i. 4 ii. 22 iii. 78 iv. 6
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The following data were collected to determine therelationship between two processing variables and thehardness of a certain kind of steel: AnnealingHardness Copper content temperature(Rockwell 30-T) (percent) (degrees F)y x1 x278.9 0.02 1,00055.2 0.02 1,20080.9 0.10 1,00057.4 0.10 1,20085.3 0.18 1,00060.7 0.18 1,200Fit a plane by the method of least squares, and use it toestimate the average hardness of this kind of steel when the copper content is 0.14 percent and the annealing tem-perature is 1,100◦F.

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