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 bottlingcompany's specifications state that the standard deviation of the amount of water is equal to 0.04 gallon. A random sample of 50 bottles isselected, and the sample mean amount of water per 1-gallon bottle is 0.991 gallon. Complete parts(a) through(d).

a. Construct a 99% confidence interval estimate for the population

mean amount of water included in a 1-gallon bottle.

(Round to five decimal places as needed.)

b. On the basis of these results, do you think that the distributor

has a right to complain to the water bottling company? Why?

(Round to five decimal places as needed.)

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

bottle is normally distributed here? Explain.

(Round to five decimal places as needed.)

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

change your answer to (b)?

(Round to five decimal places as needed.)