In: Statistics and Probability
Find the mean, standard deviation, minimum, and maximum of these three variables and interpret briefly your findings
Test if there is a difference between the two political party affiliation of the administration in terms of the three variables.
Presidential Administrations, 1901-2000 |
2007 | ||||
Annual Data Set | |||||
PRESIDENT/TERM/PARTY | YEAR | GNP | UNMP | INF |
PARTY (R: Republican, D: Democrat) |
McKinley-Roosevelt | 1901 | 11.429 | 4.0 | 0.000 | R |
(1901-1904) | 1902 | 0.924 | 3.7 | 4.000 | R |
Republican | 1903 | 4.993 | 3.9 | 3.846 | R |
1904 | 8.694 | 5.4 | 0.000 | R | |
Roosevelt | 1905 | -2.433 | 4.3 | 0.000 | R |
(1905-1908) | 1906 | 11.621 | 1.7 | 0.000 | R |
Republican | 1907 | 1.593 | 2.8 | 3.704 | R |
1908 | -8.259 | 8.0 | -3.571 | R | |
Taft | 1909 | 16.577 | 5.1 | 0.000 | R |
(1909-1912) | 1910 | 2.822 | 5.9 | 3.704 | R |
Republican | 1911 | 2.596 | 6.7 | 0.000 | R |
1912 | 5.662 | 4.6 | 3.571 | R | |
Wilson | 1913 | 0.922 | 4.3 | 2.414 | D |
(1913-1916) | 1914 | -4.415 | 7.9 | 1.347 | D |
Democrat | 1915 | -0.875 | 8.5 | 0.997 | D |
1916 | 7.882 | 5.1 | 7.566 | D | |
Wilson | 1917 | 0.666 | 4.6 | 17.431 | D |
(1917-1920) | 1918 | 12.285 | 1.4 | 17.448 | D |
Democrat | 1919 | -3.552 | 1.4 | 14.856 | D |
1920 | -4.380 | 5.2 | 15.830 | D | |
Harding-Coolidge | 1921 | -8.706 | 11.7 | -10.667 | R |
(1921-1924) | 1922 | 15.794 | 6.7 | -6.343 | R |
Republican | 1923 | 12.103 | 2.4 | 1.793 | R |
1924 | -0.246 | 5.0 | 0.196 | R | |
Coolidge | 1925 | 8.399 | 3.2 | 2.539 | R |
(1925-1928) | 1926 | 5.911 | 1.8 | 0.952 | R |
Republican | 1927 | -0.108 | 3.3 | -1.887 | R |
1928 | 0.579 | 4.2 | -1.346 | R | |
Hoover | 1929 | 6.652 | 3.2 | 0.000 | R |
(1929-1932) | 1930 | -8.961 | 8.7 | -2.534 | R |
Republican | 1931 | -6.465 | 15.9 | -8.800 | R |
1932 | -13.338 | 23.6 | -10.307 | R | |
Roosevelt | 1933 | -1.310 | 24.9 | -5.134 | D |
(1933-1936) | 1934 | 10.925 | 21.7 | 3.351 | D |
Democrat | 1935 | 8.964 | 20.1 | 2.494 | D |
1936 | 12.974 | 16.9 | 0.973 | D | |
Roosevelt | 1937 | 5.376 | 14.3 | 3.614 | D |
(1937-1940) | 1938 | -3.605 | 19.0 | -1.860 | D |
Democrat | 1939 | 8.125 | 17.2 | -1.422 | D |
1940 | 8.491 | 14.6 | 0.962 | D | |
Roosevelt | 1941 | 17.126 | 9.9 | 5.000 | D |
(1941-1944) | 1942 | 18.700 | 4.7 | 10.658 | D |
Democrat | 1943 | 16.272 | 1.9 | 6.148 | D |
1944 | 7.987 | 1.2 | 1.737 | D | |
Roosevelt-Truman | 1945 | -1.147 | 1.9 | 2.277 | D |
(1945-1948) | 1946 | -10.882 | 3.9 | 8.534 | D |
Democrat | 1947 | -1.033 | 3.9 | 14.359 | D |
1948 | 4.301 | 3.8 | 7.773 | D | |
Truman | 1949 | -0.801 | 5.9 | -0.971 | D |
(1949-1952) | 1950 | 8.898 | 5.3 | 0.980 | D |
Democrat | 1951 | 7.696 | 3.3 | 7.906 | D |
1952 | 3.745 | 3.0 | 2.185 | D | |
Eisenhower | 1953 | 4.533 | 2.9 | 0.755 | R |
(1953-1956) | 1954 | -0.656 | 5.5 | 0.373 | R |
Republican | 1955 | 7.149 | 4.4 | -0.372 | R |
1956 | 2.002 | 4.1 | 1.493 | R | |
Eisenhower | 1957 | 1.909 | 4.3 | 3.309 | R |
(1957-1960) | 1958 | -1.109 | 6.8 | 2.847 | R |
Republican | 1959 | 7.384 | 5.5 | 0.692 | R |
1960 | 2.430 | 5.5 | 1.718 | R | |
Kennedy-Johnson | 1961 | 2.333 | 6.7 | 1.014 | D |
(1961-1964) | 1962 | 6.114 | 5.5 | 1.003 | D |
Democrat | 1963 | 4.281 | 5.7 | 1.325 | D |
1964 | 5.839 | 5.2 | 1.307 | D | |
Johnson | 1965 | 6.364 | 4.5 | 1.613 | D |
(1965-1968) | 1966 | 6.424 | 3.8 | 2.857 | D |
Democrat | 1967 | 2.546 | 3.8 | 3.086 | D |
1968 | 4.677 | 3.6 | 4.192 | D | |
Nixon | 1969 | 2.981 | 3.5 | 5.460 | R |
(1969-1972) | 1970 | 0.111 | 4.9 | 5.722 | R |
Republican | 1971 | 3.365 | 5.9 | 4.381 | R |
1972 | 5.498 | 5.6 | 3.210 | R | |
Nixon-Ford | 1973 | 6.006 | 4.9 | 6.220 | R |
(1973-1976) | 1974 | -0.504 | 5.6 | 11.036 | R |
Republican | 1975 | -0.684 | 8.5 | 9.128 | R |
1976 | 5.521 | 7.7 | 5.762 | R | |
Carter | 1977 | 4.751 | 7.1 | 6.503 | D |
(1977-1980) | 1978 | 5.312 | 6.1 | 7.591 | D |
Democrat | 1979 | 3.163 | 5.8 | 11.350 | D |
1980 | -0.354 | 7.1 | 13.499 | D | |
Reagan | 1981 | 2.122 | 7.6 | 10.316 | R |
(1981-1984) | 1982 | -2.262 | 9.7 | 6.161 | R |
Republican | 1983 | 3.921 | 9.6 | 3.212 | R |
1984 | 6.877 | 7.5 | 4.317 | R | |
Reagan | 1985 | 3.258 | 7.2 | 3.561 | R |
(1985-1988) | 1986 | 2.890 | 7.0 | 1.859 | R |
Republican | 1987 | 2.854 | 6.2 | 3.650 | R |
1988 | 3.893 | 5.5 | 4.137 | R | |
Bush | 1989 | 3.355 | 5.3 | 4.818 | R |
(1989-1992) | 1990 | 1.338 | 5.6 | 5.403 | R |
Republican | 1991 | -1.009 | 6.8 | 4.208 | R |
1992 | 2.635 | 7.5 | 3.010 | R | |
Clinton | 1993 | 2.438 | 6.9 | 2.994 | D |
(1993-1996) | 1994 | 3.294 | 6.1 | 2.561 | D |
Democrat | 1995 | 2.423 | 5.6 | 2.834 | D |
1996 | 3.376 | 5.4 | 2.953 | D | |
Clinton | 1997 | 3.678 | 4.9 | 2.294 | D |
(1997-2000) | 1998 | 2.400 | 4.9 | 2.243 | D |
Democrat | 1999 | 2.000 | 5.1 | 2.194 | D |
2000 | 2.000 | 5.3 | 2.266 | D | |
Bush (2001-2008) | 2001 | 1.870 | 4.7 | 1.600 | R |
Republican | 2002 | 0.400 | 5.8 | 2.400 | R |
2003 | 1.000 | 6.0 | 1.900 | R | |
2004 | 1.800 | 5.5 | 3.300 | R | |
2005 | 2.000 | 5.1 | 3.400 | R | |
2006 | 1.700 | 4.6 | 2.500 | R | |
2007 | 0.300 | 4.6 | 4.100 | R |
Since the p-value is 0.000<0.01, we reject the null hypothesis. That is, the mean vectors of the the three variables are not the same. So there is a between the two political party affiliation of the administration in terms of the three variables.