Write your complete solutions.In Design and Analysis of Experiments, 8th edition(John Wiley & Sons, 2012), D. C. Montgomery described anexperiment that determined the effect of four different typesof tips in a hardness tester on the observed hardness of a metalalloy. Four specimens of the alloy were obtained, and each tipwas tested once on each specimen, producing the following data:SpecimenType of Tip123419.39.49.610.09.49.39.89.939.29.49.59.79.79.610.010.2(a) Is there any difference in hardness measurements betweenthe tips?(b) Use Fisher's LSD method to investigate specific differ-ences between the tips.(c) Analyze the residuals from this experiment.2

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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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10.53 A study was conducted at Virginia Tech to de- termine if the "strength" of a wound from surgical inci- sion is affected by the temperature of the knife. Eight dogs were used in the experiment. "Hot" and "cold" incisions were made on the abdomen of each dog, and the strength was measured. The resulting data appear below. Strength 5120 Dog Knife Hot Cold 1 1 8200 Hot Cold 10, 000 8600 2 2 10, 000 9200 3 Hot 3 Cold Hot 10, 000 6200 4 4 Cold
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…
1. Analyze the data as a two way factorial design. Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, Wiley, 977) describe an experiment to investigate warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows: Temperature (°C) 50 75 100 125 40 17, 20 12,9 16, 12 21, 17 Copper Content (%) 60 80 16, 21 18, 13 18, 21 23, 2! 24, 22 17, 12 25, 23 23, 22 100 28, 27 27, 31 30, 23 29, 31
An article reported on a study in which each of 13 workers was provided with both a conventional shovel and a shovel whose blade was perforated with small holes. The authors of the cited article provided the following data on energy expenditure [kcal/kg(subject)/lb(clay)]. Worker: 2 4 5 6 Conventional: 0.0015 0.0015 0.0018 0.0022 0.001 0.0016 0.0028 Perforated: 0.0015 0.001 0.0019 0.0013 0.0011 0.0017 0.0024 Worker: 10 11 12 13 Conventional: 0.0021 0.0015 0.0014 0.0023 0.0017 0.002 Perforated: 0.0021 0.0013 0.0013 0.0017 0.0015 0.0013 n USE SALT Do these data provide convincing evidence that the mean energy expenditure using the conventional shovel exceeds that using the perforated shovel? Test the relevant hypotheses using a significance level of 0.05. (Use SALT to calculate the P-value. Use Hd = Hconventional - Hperforated Round your test statistic to one decimal place and your P-value to three decimal places.) t= df = p-value = State your conclusion. O we fail to reject H,. We have…
1. An experiment was conducted to determine the effect of four different types of tips in a hardness tester on the observed hardness of a metal alloy. Four specimens of the alloy were obtained, and each tip was tested once on each specimen, producing the following data: Specimen Туре of Tip 1 2 3 4 1 9.3 9.4 9.6 10.0 2 9.4 9.3 9.8 9.9 3 9.2 9.4 9.5 9.7 4 9.7 9.6 10.0 10.2 Is there any difference in hardness measurements between the tips? b. b. Use Fisher’s LSD method to investigate specific differences between the tips. c. Analyze the residuals from this experiment. a.
The National Institute of Standard and Technology provided exact data on conductivity properties of materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of glass. Click this button to reveal the data Conductivtity 1.11 1.07 1.11 1.07 1.12 1.08 0.98 0.98 1.02 0.95 0.95 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use a 10% level of significance level. a. How many samples of data are there in this study? b. What test you would use for this problem? Select an answer c. The null hypothesis of this test states that Select an answer d. What type of test is this? O One-side Two-side
Rothenberg et al. (A-13) investigated the effectiveness of using the Hologic Sahara Sonometer, a portable device that measures bone mineral density (BMD) in the ankle, in predicting a fracture. They used a Hologic estimated bone mineral density value of .57 as a cutoff. The results of the investigation yielded the following data: Confirmed Fracture BMD 1⁄4 :57ðTÞ BMD > :57ðT"Þ Total Present (D) 214 73 287 Not Present ðD" Þ Total 670 884 330 403 1000 1287 Source: Data provided courtesy of Ralph J. Rothenberg, M.D., Joan L. Boyd, Ph.D., and John P. Holcomb, Ph.D. (a) Calculate the sensitivity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results. (b) Calculate the specificity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results.
The National Institute of Standard and Technology provided exact data on conductivity properties of materials. Following are conductivity measurements for 11 randomly selected pieces of a particular type of glass. Click this button to reveal the data Conductivtity 1.11 1.07 1.11 1.07 1.12 1.08 0.98 0.98 1.02 0.95 0.95 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to save it as a Excel Workbook. Based on these data, is there evidence that the median conductivity of this type of glass is greater than 1? Use a 5% level of significance level. a. How many samples of data are there in this study? 1 d. What type of test is this? One-side OF b. What test you would use for this problem? Sign Test for One-Sample + Ꮕ c. The null hypothesis of this test states that The Population Median conductivity is 1 OF
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