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The Healthy Drinks store stated that the average consumption of water per day was at least 100 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 150 people and found that they used on average 105 gallons per day and s=10 gallons. 

a) At α = .01, is there enough evidence to say that their statement might no longer be correct?

b) What are the lower-limit and the upper-limit of the 90% two-sided confidence interval?

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