A bottled water distributor wants to estimate the amount of water contained in1 ​-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 0.03 gallon. A random sample of 50 bottles is​ selected, and the sample mean amount of water per ​1-gallon bottle is 0.968 gallon.