Question

# A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased...

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​ company's 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 0.993 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?

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

D. Construct a 90​% confidence interval estimate. How does this change your answer to part​ (b)? How does this change your answer to part​ (b)?