The table below shows the winning times (in minutes) for men and women in the New York City Marathon between 1978 and 2013. (The race was not run in 2012 because of Superstore Sandy.). Assuming that performances in the Big Apple resemble performances elsewhere, we can think of these data as a sample of performance in marathon competitions. Create a 90% confidence interval for the mean difference in winning times for male and female marathon competitors, (www.nycmarathon.org)

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Year Men Women 1978 132.2 152.5 1979 1317 147.6 1980 129.7 145.7 1981 128.2 145.5 1982 129.5 147.2 1983 129.0 147.0 1984 134.9 149.5 1985 131.6 148.6 1986 1311 148.1 2004 129.5 143.2 1987 131.0 150.3 1988 128.3 148.1 2006 130.0 145.1 1989 128.0 145.5 1990 132.7 150.8 1991 129.5 147.5 1992 129.5 144.7 1993 130.1 146.4 20 1251 143.3 1994 131.4 147.6 1995 131. 148.1 Year Men Women 1996 129.9 148.3 1997 128.2 148.7 1998 128.8 145.3 1999 129.2 145.1 2000 130.2 145.8 2001 127.7 144.4 2002 128.1 145.9 2003 130.5 142.5 2005 129.5 144.7 2007 1291 143.2 2008 128.7 143.9 2009 129.3 148.9 2010 128.3 148.3 2012