Question

In: Statistics and Probability

Find the mean, standard deviation, minimum, and maximum of these three variables and interpret briefly your...

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

Solutions

Expert Solution

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.


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