**Example 8.5 | Alloy Adhesion**An article in the *Journal of Materials Engineering* ["Instrumented Tensile Adhesion Tests on Plasma Sprayed Thermal Barrier Coatings" (1989, Vol. 11(4), pp. 275-282)] describes the results of tensile adhesion tests on 22 U-700 alloy specimens. The load at specimen failure is as follows (in megapascals):\[\begin{array}{cccccc}19.8 & 10.1 & 14.9 & 7.5 & 15.4 & 15.4 \\15.4 & 18.5 & 7.9 & 12.7 & 11.9 & 11.4 \\11.4 & 14.1 & 17.6 & 16.7 & 15.8 & 11.4 \\19.5 & 8.8 & 13.6 & 11.9 & 11.4 \\\end{array}\]The sample mean is \( \bar{x} = 13.71 \), and the sample standard deviation is \( s = 3.55 \). Figures 8.6 and 8.7 show a box plot and a normal probability plot of the tensile adhesion test data, respectively. These displays provide good support for the assumption that the population is normally distributed. We want to find a 95% CI on \( \mu \). Since \( n = 22 \), we have \( n - 1 = 21 \) degrees of freedom for \( t \), so \( t_{0.025,21} = 2.080 \). The resulting CI is\[\bar{x} - t_{ \alpha/2, n-1} s / \sqrt{n} \leq \mu \leq \bar{x} + t_{ \alpha/2, n-1} s / \sqrt{n}\]\[13.71 - 2.080 (3.55) / \sqrt{22} \leq \mu \leq 13.71 + 2.080 (3.55) / \sqrt{22}\]\[13.71 - 1.57 \leq \mu \leq 13.71 + 1.57\]\[12.

The information provided in the question are as follows : The 95% confidence interval for the mean…

Answered: EXAMPLE 8.5 | Alloy Adhesion An article…

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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