When looking at energy consumption, we are often interested in detecting trends over time and how they correlate among different countries. The information in Table 11.52 shows the average energy use (in units of kg of oil equivalent per capita) in the USA and the joint European Union countries (EU) for the six-year period 2005 to 2010. Do the energy use values in these two areas come from the same distribution? Perform the analysis at the 5% significance level.

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Year European Union United States Row Total 2010 3,413 7,164 10,557 2009 3,302 7,057 10,359 2008 3,505 7,488 10,993 2007 3,537 7,758 11,295 2006 3,595 7,697 11,292 2005 3,613 7,847 11,460 Column Total | 20,965 45,011 65,976 Table 11.52