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

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Statistics

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.

Answer & Explanation Solved by verified expert
3.7 Ratings (562 Votes)
aH0 Null Hypothesis both machines fill to the same net contents claimHA Alternative Hypothesis both machines do not fill to the same    See Answer
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