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The mean temperature for the month of July in Boston, MA is 73 degrees Fahrenheit. Plot the following data which represent the observed mean temperature in Boston over the last 20 years:

1998=72º; 1999=69º; 2000=78º; 2001=70º; 2002=67º; 2003=74º; 2004=73º; 2005=65º; 2006=77º; 2007=71º; 2008=75º; 2009=68º; 2010=72º; 2011=77º; 2012=65º; 2013=79º; 2014=77º; 2015=78º; 2016=72º; 2017=74º.

  1. Is this a normal distribution? What is the outlier? Are there any outliers in this distribution?
  2. Using the above data, what is the probability that the mean will be over 76 in and given July?
  3. Using the above data, what is the probability that the mean will be over 80 in any given July?

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