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.

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Part B: Statistical Inference
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.
Transcribed Image Text:Part B: Statistical Inference 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.
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