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 0.01 gallon. A random sample of 50 bottles is​ selected, and the sample mean amount of water per 1​-gallon bottle is 0.989 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≤____ ​(Round to five decimal places as​ needed.)

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