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A random sample of the price of gasoline from 30 gas stations in a region gives...

A random sample of the price of gasoline from 30 gas stations in a region gives the statistics below. Complete parts a through c below. y overbar =$4.39​, SE left parenthesis y over bar right parenthesis =​ $0.06

a) Find a 95 ​% confidence interval for the mean price of regular gasoline in that region. ​(Round to three decimal places as​ needed.) ​

b) Find the​ 90% confidence interval for the mean. ​(Round to three decimal places as​ needed.) ​

c) If we had the same statistics from a sample of 60 ​stations, what would the​ 95% confidence interval be​ now? ​(Round to three decimal places as​ needed.)

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