question archive The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005 (i

The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005 (i

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The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005 (i.e. 28 days). The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence.

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95% CI = ( 26.6714 , 33.7286)

 

The confidence interval is given by

CI = ?x?? + t*?n?s??

From t tables, at 95% confidence level and n-1=27 degrees of freedom t= 2.052

Hence

CI = 30.2 + 2.052*?28?9.1??

= ( 26.6714 , 33.7286)

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