Two machines are used for filling glass bottles with asoft-drink beverage. The filling processes have known standarddeviations s1=0.010 liter and s2=0.015 liter, respectively. Arandom sample of n1=25 bottles from machine 1 and n2=20 bottlesfrom machine 2 results in average net contents of x1=2.04 litersand x2=2.07 liters.
(a) Test the hypothesis that both machines fill to the same netcontents, using alpha=.05. What are your conclusions?
(b) Find the P-value for this test.
(c) Construct a 95% confidence interval on the difference inmean fill volume.
