A structural engineering company has purchased a large quantity of A36 steel from a manufacturer. As part of their quality control process, they have tested the Elastic Modulus of 10 random samples of the steel. E (GPa) || 184 | 214 | 212 | 195 | 203 | 184 | 193 | 209 | 203 | 212 1. Calculate the sample mean and sample variance using MATLAB's mean and var functions. 2. The manufacturer claims their steel has an average Elastic Modulus of 210 GPa. Conduct a hypothesis test to determine whether there is sufficient evidence to reject their claim. Use a significance level of a = 0.05. 3. Construct a 95% confidence interval for the average Elastic Modulus of the A36 Steel. Comment on whether this confidence interval supports the outcome of your hypothesis test from Q2. 4. Use MATLAB's ttest function to conduct the hypothesis test from Q2, determine a 95% confidence interval and evaluate a p value. Comment on whether your results from Q2 and Q3 have been verified. Also comment on the meaning of the p value provided.
A structural engineering company has purchased a large quantity of A36 steel from a manufacturer. As part of their quality control process, they have tested the Elastic Modulus of 10 random samples of the steel. E (GPa) || 184 | 214 | 212 | 195 | 203 | 184 | 193 | 209 | 203 | 212 1. Calculate the sample mean and sample variance using MATLAB's mean and var functions. 2. The manufacturer claims their steel has an average Elastic Modulus of 210 GPa. Conduct a hypothesis test to determine whether there is sufficient evidence to reject their claim. Use a significance level of a = 0.05. 3. Construct a 95% confidence interval for the average Elastic Modulus of the A36 Steel. Comment on whether this confidence interval supports the outcome of your hypothesis test from Q2. 4. Use MATLAB's ttest function to conduct the hypothesis test from Q2, determine a 95% confidence interval and evaluate a p value. Comment on whether your results from Q2 and Q3 have been verified. Also comment on the meaning of the p value provided.
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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