Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known

Question:

Two machines are used for filling glass bottles with a soft-drink beverage. The filling processes have known standard deviations liter and liter, respectively. A random sample of bottles from machine 1 and bottles from machine 2 results in average net contents of 2.04 liters and 2.07 liters from machine 1 and 2, respectively. Test the hypothesis that both machines fill to the same net contents using a 95% two-sided confidence interval on the difference of fill volume. What are your conclusions?