we have the following data: (large urban area) public transportation passenger miles (million) (very large urban area) public transportation passenger miles (million) 1982 133 1312 1983 146 1450 1984 151 1545 1985 155 1699 1986 153 1805 1987 153 2018 1988 151 2074 1989 149 2097 1990 151 2168 1991 158 2137 1992 162 2196 1993 182 2194 1994 188 2236 1995 190 2356 1996 199 2508 1997 205 2310 1998 217 2442 1999 231 2550 2000 236 2671 2001 235 2749 2002 237 2740 2003 233 2718 (1) test whether the means for public transportation passenger miles between 1982 and 2003 are the same for the two groups: large urban areas and very large urban areas. (2) what are the 95% confidence interval of the difference between the two means?
we have the following data:
|
|
(large urban area) public transportation passenger miles (million) |
(very large urban area) public transportation passenger miles (million) |
|
1982 |
133 |
1312 |
|
1983 |
146 |
1450 |
|
1984 |
151 |
1545 |
|
1985 |
155 |
1699 |
|
1986 |
153 |
1805 |
|
1987 |
153 |
2018 |
|
1988 |
151 |
2074 |
|
1989 |
149 |
2097 |
|
1990 |
151 |
2168 |
|
1991 |
158 |
2137 |
|
1992 |
162 |
2196 |
|
1993 |
182 |
2194 |
|
1994 |
188 |
2236 |
|
1995 |
190 |
2356 |
|
1996 |
199 |
2508 |
|
1997 |
205 |
2310 |
|
1998 |
217 |
2442 |
|
1999 |
231 |
2550 |
|
2000 |
236 |
2671 |
|
2001 |
235 |
2749 |
|
2002 |
237 |
2740 |
|
2003 |
233 |
2718 |
(1) test whether the means for public transportation passenger miles between 1982 and 2003 are the same for the two groups: large urban areas and very large urban areas.
(2) what are the 95% confidence interval of the difference between the two means?
Here we've to test if there is a difference between the means of public transportation passenger miles for large urban areas and very large urban areas.
We state the hypothesis:
H0: there is no difference between the means of public transportation passenger miles for large urban areas and very large urban areas.
H1: there is a Statistical significant difference between the means of public transportation passenger miles for large urban areas and very large urban areas.
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