Date (pre-2000) High Temperature Date (2000 - now) High Temperature 199 10 29 2014 , 15 84 1993 28 90 2020 15 4 8 1992 22 95 2014 7 67 4 9 40 10 / 4 2017 3 95 5 1958 , 21 184 2012 1981 90 2007 20 90 7 -30 1925 194 90 2004 5 93 $ 1953, 10 193 201 3 20 96 9 1999, 3 195 2019 95 2002 95 1 1985 9.3 2009 95 2 19le 12 85 2010 94 1950 85 20010 28 17 1955 195 2017 2 40 51 1980 24 8 1 2021 & 9 3 1995 12 186 2010 22 90 7 1983 18 192 2008 4 1948 & $7 19 189 2005 95 1989 199 2013 22 1998 98 2013 1949 196 99 1980 2017 94 2/ 198 3 195 9 2017 122 25 92 4 1951 2010 27 29 65 5 1976 12 2020 2 $2 1988 2013 13 98 1973 1:4 2007 20 90 1989 78 8 2010 95 94 1951 2 1 2017 25 91 92 1947 17 2019 93 22 94 2015 94 mean mean 89. 73 90, 472. Using your calculator, construct confidence intervals for the mean high temperature for your city for your chosen month pre-2000 and post-2000 at the 95% confidence level. Write your intervals in the form mean +/- margin of error and include sentences to interpret your intervals. 3. Run a hypothesis test that tests the claim that the mean temperature pre-2000 is different than the mean temperature post-2000. Use a level of significance of a = .05. Please write the null hypothesis and the alternative hypothesis below, along with the P-value, your decision on whether you reject or fail to reject the null and a conclusion statement that speaks to your support or non-support of the claim above