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Tensile strength tests were carried out on two different grades of wire rod resulting in the accompanying data: Sa | St d rd Grade SampleSize Sample Mean (kg/mm2] mpe. an a DeVIatIon 1064 31 108 1.3 1073 31 124 1.6 1. [10 points} Do the data provide compelling evidence [at a = 0.05 J for concluding that true average strength for the 1073 grade exceeds that for the 1064 grade? Show all your work. 2. [10 points] Estimate the difference between true average strengths for the two grades with a 95% condence interval [Show all your work]. Interpret this condence interval