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QUESTION 3 equation below: In material science, if the material is linearly elastic, the stress and strain are directly related to the E = where
QUESTION 3 equation below: In material science, if the material is linearly elastic, the stress and strain are directly related to the E = where E is the Young's modulus (in GPa), o is the stress (in GPa) and & is the strain of the material. Table below shows the strain of the sample collected in FKM laboratory. The researcher decides to use an equal stress to pull all 32 samples by 3 GPa. Natural Fibre Kenaf Hemp Sisal Bamboo 0.023 0.011 0.032 0.045 0.021 0.010 0.033 0.039 0.024 0.013 0.030 0.037 0.025 0.012 0.033 0.039 0.021 0.011 0.035 0.041 0.022 0.013 0.032 0.042 0.020 0.017 0.034 0.040 0.019 0.039 0.011 0.043 (a) Construct an ANOVA table consisting of source of variances, sum of squares, mean square and F value for the Young's modulus (E) of the natural fibre. Perform the analysis of variance at the 5% level of significance. What can you conclude based on the F value at the 5% significance level? [22 marks] (b) If the significance level is increased to 10%, will it affect your conclusion in 2(a)? Show your solution in detail. [3 marks]
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