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

4. Two machines are used for filling glass bottles with a soft-drink beverage. The filling
processes have known standard deviations s1 = 0.010 L, and s2 = 0.015 L, respectively. A
random sample of n1 = 25 bottles from machine 1 and n2 = 20 bottles from machine 2,
results in average net contents of ?̅
# = 2.04 L, and ?̅
$ = 2.07 L.
a. Test the hypothesis that both machines fill to the same net contents, using a = 0.05.
What are your conclusions?
b. Find the P-value for this test.
c. Construct a 95% two-sided confidence interval on the mean fill volume

Math   Statistics-And-Probability   
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