14:540:492 : Assignment 1_IntRe_Truc Hoang

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Assignment 1: two mse (materials science and engineering) students invented materials with yield strengths shown in columns b and c in the attached excel sheet (these are the yield strength of 100 samples from each type of material). Each inventor claims that his/her material is superior to the other. They approached a civil engineering student to assess the use of these materials for column support of a static structure. One hundred observations of the potential stress are recorded in column a in the attached excel sheet: the observations in column a represent applied stress and observations in columns b and. C represent the strength of the two materials. Also, assume that all observations follow normal distributions. Determine the probability of failure and which material is preferred. Use matlab and excel to perform the analysis. (excel method attached to another excel file) Denote that a, b, and c are the data for applied stress, the strength of two materials respectively.

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