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In a random sample of 144 out of the 256 games of the 2014 NFL regular...

In a random sample of 144 out of the 256 games of the 2014 NFL regular season, mean passing yards per game were 222 with a standard deviation of 36 yards per game. Recalling that the standard error of a sample mean is the standard deviation divided by the square root of the sample size, what is the 99% confidence interval for the mean passing yards per game?

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