A bottled water distributor wants to estimate the amount of water contained in 1

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 gallon. A random sample of 50 bottles isselected, and the sample mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts(a) through(d).

a. Construct a 99% confidence interval estimate for the population mean amount of water included in a1-gallon bottle.

___less than or equals mu less than or equals ___

(Round to five decimal places asneeded.)