A bottled water distributor wants to determine whether the mean amount of the water contained in 1-gallon bottles purchased from a nationally known water bottling company specifications that the standard deviation of the amount of water per bottle is 0.02 gallon. You selected a random sample if 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
A) Is there evidence that the mean amount is different from 1.0 gallon? (proportional =0.01)
B) Compute the p-value and interpret its meaning
C) Construct a 99% confidence interval estimate of the population mean amount of the water per bottle.
D) Compare the result of (A) and (C). What conclusions of you reach?
