The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in Table G. Estimate the mean difference in traffic count between the 6th and the 13th using a 99% level.
Table G: Traffic Count
Dates |
6th |
13th |
1990, July |
139246 |
138548 |
1990, July |
134012 |
132908 |
1991, September |
137055 |
136018 |
1991, September |
133732 |
131843 |
1991, December |
123552 |
121641 |
1991, December |
121139 |
118723 |
1992, March |
128293 |
125532 |
1992, March |
124631 |
120249 |
α = 0.01
The differences between the traffic count on Friday, that is 6th and 13th is calculated as follows:
Test statistic,
The critical t-value for α=0.01 and 7 dof is 3.499
Therefore, we are 99% confidence that the mean difference in traffic count between the 6th and the 13th is between 556.04 and 3493.46.
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