Based on a study, a theme park has reported that typical patrons were willing to pay $64 for admission to the park. In the study, the theme park conducted a survey to
determine how much patrons were willing to pay for admission to the park. The park
asked 10 groups of 100 randomly selected patrons to choose a price from a list of
options. The price chosen most frequently by each group is shown in the table.

Abottled 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 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?