In: Math
There are two suppliers of aluminum extrusions competing for your business. You are motivated to have extrusions with good (i.e. high) yield strength and low variance. Each supplier provides you the following yield strength data (in ksi) from their respective processes:
X1= {76.5, 77.1, 76.1, 76.2, 75.9, 76.8, 77.0, 75.8, 76.6, 76.7}
X2= {78.2, 77.9, 77.2, 77.6, 76.2, 77.5, 77.2, 76.3, 77.3, 77.8}
At α = 0.05, whom will you choose? Statistically justify your answer.
Please solve by hand instead of using Excel.