A bottled 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 companys

specifications state that the standard deviation of the amount of

water is equal to 0.02 gallon. A random sample of 50 bottles is

selected, and the sample mean amount of water per 1-gallon bottle

is 0.995 gallon.

a. Construct a 99% 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?

c. Must you assume that the population amount of water per

bottle is normally distributed here? Explain.

d. Construct a 95% confidence interval estimate. How does this

change your answer to (b)?

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