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A bottle water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallons. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.942 gallons. Construct a 95% confidence interval for the population mean amount of water included in a 1-gallon bottle.

Round to 4 decimal places.

What is the point estimate?
.942
(Round to 3 decimal places)

What is the standard error?
(Round to 4 decimal places)

What is the critical value?
(Round to 2 decimal places)

What is the margin of error?
(Round to 4 decimal places)

We are 95% confident that the true mean is between
and
. (Round to 4 decimal places)

On the basis of these results, do you think that the distributor has a right to complain to the water bottling company?
(Yes or No)

Sagot :

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