A winery is looking to automate the filling of their bottles with a machine. Two machines...

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A winery is looking to automate the filling of their bottles with a machine. Two machines currently on the market each have a standard deviation of 0.011 ounces and 0.016 ounces. To test if these two machines really are different, a sample of 25 bottles from machine 1 resulted in an average fill volume of 2.05 ounces, and a sample of 20 bottles from machine 2 results in an average fill volume of 2.08 ounces. a) Build a 95% two-sided confidence interval on the differences of fill volumes. (10 pts) b) What do you conclude? (5 pts) A winery is looking to automate the filling of their bottles with a machine. Two machines currently on the market each have a standard deviation of 0.011 ounces and 0.016 ounces. To test if these two machines really are different, a sample of 25 bottles from machine 1 resulted in an average fill volume of 2.05 ounces, and a sample of 20 bottles from machine 2 results in an average fill volume of 2.08 ounces. a) Build a 95% two-sided confidence interval on the differences of fill volumes. (10 pts) b) What do you conclude? (5 pts)