2. (12 points) (Uses data from section 2.1 exercise 7) The produce yield from the theoretical maximum was studied under various temperatures and stirring speeds. (a) (5 points) Perform a hypothesis test for association between temperature and the yield. (significance 5%) (b) (5 points) Perform a hypothesis test for association between stirring speed and the yield. (significance 5%) (c) (2 points) Find and interpret a 95% confidence interval for the slope of the least squares line for stirring speed vs. yield. Fill #1 Fill #2 Temp Stirring Yield | Damping Frequency | Temp. Lifetime (oz) (oz) (C) (rpm) (%) (ratio) (Hz) (C) (hrs) 12.18 12.25 110 30 70.27 0.3 2.72 40 851 11.77 11.85 110 40 74.95 0.3 2.84 45 635 12.09 11.87 110 50 77.91 0.3 3.77 50 764 12.03 11.76 110 60 82.69 0.4 2.07 55 708 11.87 12.09 121 30 73.43 0.4 2.2 60 469 11.96 11.77 121 40 73.14 0.4 2.34 65 661 12.03 12.03 121 50 78.27 0.4 2.61 70 586 12.36 12.07 121 60 74.89 0.5 1.8 75 371 12.28 11.72 132 30 69.07 0.5 1.93 80 337 11.85 12.06 132 40 70.83 0.5 1.53 85 245 132 50 79.18 0.6 0.77 90 129 132 60 78.1 0.6 1.26 95 158 143 30 73.71 0.6 1.66 143 40 77.7 0.7 0.89 143 50 74.31 0.7 1 143 60 80.99 0.7 0.66 0.8 1.13 0.8 0.37 2. (12 points) (Uses data from section 2.1 exercise 7) The produce yield from the theoretical maximum was studied under various temperatures and stirring speeds. (a) (5 points) Perform a hypothesis test for association between temperature and the yield. (significance 5%) (b) (5 points) Perform a hypothesis test for association between stirring speed and the yield. (significance 5%) (c) (2 points) Find and interpret a 95% confidence interval for the slope of the least squares line for stirring speed vs. yield. Fill #1 Fill #2 Temp Stirring Yield | Damping Frequency | Temp. Lifetime (oz) (oz) (C) (rpm) (%) (ratio) (Hz) (C) (hrs) 12.18 12.25 110 30 70.27 0.3 2.72 40 851 11.77 11.85 110 40 74.95 0.3 2.84 45 635 12.09 11.87 110 50 77.91 0.3 3.77 50 764 12.03 11.76 110 60 82.69 0.4 2.07 55 708 11.87 12.09 121 30 73.43 0.4 2.2 60 469 11.96 11.77 121 40 73.14 0.4 2.34 65 661 12.03 12.03 121 50 78.27 0.4 2.61 70 586 12.36 12.07 121 60 74.89 0.5 1.8 75 371 12.28 11.72 132 30 69.07 0.5 1.93 80 337 11.85 12.06 132 40 70.83 0.5 1.53 85 245 132 50 79.18 0.6 0.77 90 129 132 60 78.1 0.6 1.26 95 158 143 30 73.71 0.6 1.66 143 40 77.7 0.7 0.89 143 50 74.31 0.7 1 143 60 80.99 0.7 0.66 0.8 1.13 0.8 0.37