Discussion:
TESTING FOR THE EQUALITY OF MEANS OF TWO DIFFERENT POPULATIONS
UNEMPLOYMENT DATA based on Gender - (1960 - 2005)
Q: You are provided with the male and female unemployment data for the 1960-2005 periods. Using these two samples, determine whether the data support the conclusion that female unemployment rate is higher than the male unemployment rate. Use 0.01 level of significance.
DATA: Unemployment rate, 1960-2005
|
Year
|
Males
|
Females
|
|
|
|
1960
|
5.4
|
5.9
|
|
|
1961
|
6.4
|
7.2
|
|
|
1962
|
5.2
|
6.2
|
|
|
1963
|
5.2
|
6.5
|
|
|
1964
|
4.6
|
6.2
|
|
|
1965
|
4.0
|
5.5
|
|
|
1966
|
3.2
|
4.8
|
|
|
1967
|
3.1
|
5.2
|
|
|
1968
|
2.9
|
4.8
|
|
|
1969
|
2.8
|
4.7
|
|
|
1970
|
4.4
|
5.9
|
|
|
1971
|
5.3
|
6.9
|
|
|
1972
|
5.0
|
6.6
|
|
|
1973
|
4.2
|
6.0
|
|
|
1974
|
4.9
|
6.7
|
|
|
1975
|
7.9
|
9.3
|
|
|
1976
|
7.1
|
8.6
|
|
|
1977
|
6.3
|
8.2
|
|
|
1978
|
5.3
|
7.2
|
|
|
1979
|
5.1
|
6.8
|
|
|
1980
|
6.9
|
7.4
|
|
|
1981
|
7.4
|
7.9
|
|
|
1982
|
9.9
|
9.4
|
|
|
1983
|
9.9
|
9.2
|
|
|
1984
|
7.4
|
7.6
|
|
|
1985
|
7.0
|
7.4
|
|
|
1986
|
6.9
|
7.1
|
|
|
1987
|
6.2
|
6.2
|
|
|
1988
|
5.5
|
5.6
|
|
|
1989
|
5.2
|
5.4
|
|
|
1990
|
5.7
|
5.5
|
|
|
1991
|
7.2
|
6.4
|
|
|
1992
|
7.9
|
7.0
|
|
|
1993
|
7.2
|
6.6
|
|
|
1994
|
6.2
|
6.0
|
|
|
1995
|
5.6
|
5.6
|
|
|
1996
|
5.4
|
5.4
|
|
|
1997
|
4.9
|
5.0
|
|
|
1998
|
4.4
|
4.6
|
|
|
1999
|
4.1
|
4.3
|
|
|
2000
|
3.9
|
4.1
|
|
|
2001
|
4.8
|
4.7
|
|
|
2002
|
5.9
|
5.6
|
|
|
2003
|
6.3
|
5.7
|
|
|
2004
|
5.6
|
5.4
|
|
|
2005
|
5.1
|
5.1
|
|