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Mathematics, 24.12.2019 02:31 2021arabellacorsino

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 of the water per 1 - gallon bottle is 0.995 gallon.

a. construct a 99% confidence interval estimate for the population mean 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)?

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