The data presented in the following table give the tensile strength in psi (y) of paper as afunction of the percentage of hardwood content (x).Hardwood ContentTensile Strength1.026.81.529.52.036.63.037.84.038.24.541.55.044.85.544.76.048.56.550.17.052.18.056.19.063.110.062.011.062.512.058.013.052.914.038.215.032.916.021.9a. Fit polynomial models of degrees 1, 2, and so on to predict tensile strength fromhardwood content. For each one, use the F test to compare it with the model of degreeone less. Stop when the P-value of the F test is greater than 0.05. What is the degree ofthe polynomial model chosen by this method?b. Using the model from part (a), estimate the hardwood concentration that produces thehighest tensile strength.

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Answered: The data presented in the following…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 9CC

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The Federal Aviation Administration requires material used to make evacuation systems retain their strength over the life of the aircraft. In an accelerated life test, the principal material, polymer-coated nylon weave, is aged by exposing it to 158 degrees F for 168 hours. The tensile strength of the specimens of this material is measured beforea nd after the aging process. The following data (in psi) are recorded: Specimen Original Aged 1 215 203 2 226 216 3 226 217 4 219 211 5 222 215 6 231 218 7 234 224 8 219 210 9 209 201 10 216 207 Is there evidence to support the claim that the nylon weave tensile strength is the same before and after the aging process? Use the P-value approach.
The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.
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Refer to laserjeans.xlsx to answer the questions below. These real data come from Ondogan, Z., Pamuk, O., Ondogan, E. N., & Ozguney, A. (2005). Improving the appearance of all textile products from clothing to home textile using laser technology. Optics and Laser Technology, 37, 631-637. Researchers sought to test the differences in tensile strength of jeans designed by hand versus those designed with lasers. 1. What type of measurement scale do each of the five variables use? 2. Create histograms for those that are continuous (interval or ratio). How would you describe the shape of these distributions? 3. A textile researcher wants to simplify the strength data by turning this continuous variable into an ordinal variable with 10 equal interval widths. Given that the lowest force resulting in a rip was 860 N, and the greatest force resulting in a rip was 1,450 N, what should the interval widths (also called bins or breaks) be? Fill in the second column of the…
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A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)
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