(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? (b) If the significance level is increased to 10%, will it affect your conclusion in 2(a)? Show your solution in detail.

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In material science, if the material is linearly elastic, the stress and strain are directly related to
the equation below:
E =-
where E is the Young's modulus (in GPa), o is the stress (in GPa) and ɛ is the strain of the
material. Table Q2(a) 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.
Table Q2(a) The strain of natural fibre
Natural Fibre
Hemp
0.011
Kenaf
Sisal
Bamboo
0.023
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
0.032
0.034
0.022
0.013
0.042
0.020
0.017
0.040
0.019
0.039
0.011
0.043
Transcribed Image Text:In material science, if the material is linearly elastic, the stress and strain are directly related to the equation below: E =- where E is the Young's modulus (in GPa), o is the stress (in GPa) and ɛ is the strain of the material. Table Q2(a) 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. Table Q2(a) The strain of natural fibre Natural Fibre Hemp 0.011 Kenaf Sisal Bamboo 0.023 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 0.032 0.034 0.022 0.013 0.042 0.020 0.017 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?
(b)
If the significance level is increased to 10%, will it affect your conclusion in 2(a)? Show
your solution in detail.
Transcribed Image Text:(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? (b) If the significance level is increased to 10%, will it affect your conclusion in 2(a)? Show your solution in detail.
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