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A bottled water distributor wants to estimate the amount of water contained in 11​-gallon bottles purchased...

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 0.983 gallon. Complete parts​ (a) through​ (d).

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

___ ≤ μ ≤ ____

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)?

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