A bottled water distributor wants to estimate the amount ofwater contained in 11?-gallon bottles purchased from a nationallyknown water bottling company. The water bottling? company'sspecifications state that the standard deviation of the amount ofwater is equal to 0.04 gallon. A random sample of 50 bottles is?selected, and the sample mean amount of water per 11?-gallon bottleis 0.983 gallon. Complete parts? (a) through? (d).
A. Construct a 95% confidence interval estimate for thepopulation mean amount of water included in a 1-gallon bottle
___ ? ? ? ____
b. On the basis of these? results, do you think that thedistributor has a right to complain to the water bottling?company?Why?
c. Must you assume that the population amount of water perbottle is normally distributed? here? Explain.
D. Construct a 90?% confidence interval estimate. How does thischange your answer to part? (b)?