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# A bottled water distributor wants to estimate the amount of water

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A bottled water distributor wants to estimate the amount of water contained in 11?-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 0.04 gallon. A random sample of 50 bottles is? selected, and the sample mean amount of water per 11?-gallon bottle is 0.968 gallon.

a: Construct a 95?% confidence interval estimate for the population mean amount of water included in a?1-gallon bottle.

b.On the basis of these? results, do you think that the distributor has a right to complain to the water bottling? company? Why?

(1) ---because a? 1-gallon bottle containing exactly? 1-gallon of water lies

(2)--- the 95?% confidence interval.

c.Must you assume that the population amount of water per bottle is normally distributed? here? Explain.

1: ?No, because the Central Limit Theorem almost always ensures that is normally distributed when n is large. In this? case, the value of n is large.

2.Yes, because the Central Limit Theorem almost always ensures that is normally distributed when n is large. In this? case, the value of n is small.

3.?Yes, since nothing is known about the distribution of the? population, it must be assumed that the population is normally distributed.

4.?No, because the Central Limit Theorem almost always ensures that is normally distributed when n is small. In this? case, the value of n is small.

d.Construct a 90?% confidence interval estimate.

A? 1-gallon bottle containing exactly? 1-gallon of water lies (3) the 90?% confidence interval. The distributor (4) a right to complain to the bottling company.

(1)

Yes,

No,

(2)

outside

within

(3)

within

outside

(4)

still has

now has

still does not have

now does not have

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## [Solved] A bottled water distributor wants to estimate the amount of water

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