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9.16 A bottled water distributor wants to determine whether the mean amount of water contained in...

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Statistics

9.16 A bottled water distributor wants to determine whether themean amount of water contained in 1-gallon bottles purchased from anationally known water bottling company is actually 1

gallon. You know from the water bottling company specificationsthat the standard deviation of the amount of water per bottle is0.02 gallon. You select a random sample of 50 bottles, and

the mean amount of water per 1-gallon bottle is 0.995gallon.

A) Is there evidence that the mean amount is different from 1.0gallon? (Use α=0.01.)

B) Compute the p-value and interpret its meaning.

C) Construct a 99% confidence interval estimate of thepopulation mean amount of water per bottle.

D) Compare the results of (a) and (c). What conclusions do youreach?

Answer & Explanation Solved by verified expert
4.3 Ratings (744 Votes)
A H0 10H1 10The test statistic z 0995 1002 177At 001 thecritical values are z0005 258Since the test statistic value is not less than the    See Answer
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