9.16 A bottled water distributor wants to determine whether themean amount of water contained in 1-gallon bottles purchased from anationally known water bottling company is actually 1
gallon. You know from the water bottling company specificationsthat the standard deviation of the amount of water per bottle is0.02 gallon. You select a random sample of 50 bottles, and
the mean amount of water per 1-gallon bottle is 0.995gallon.
A) Is there evidence that the mean amount is different from 1.0gallon? (Use α=0.01.)
B) Compute the p-value and interpret its meaning.
C) Construct a 99% confidence interval estimate of thepopulation mean amount of water per bottle.
D) Compare the results of (a) and (c). What conclusions do youreach?
