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STAT 200:The British Department of Transportation studied to see if people avoid driving on Friday the 13th.

STAT 200:The British Department of Transportation studied to see if people avoid driving on Friday the 13th.: Expert Solutions for Success

The British Department of Transportation studied to see if people avoid driving on Friday the 13^th. They did a traffic count on a Friday and then again on a Friday the 13^th 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 6^th and the 13^th 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

Answer

α = 0.01

The differences between the traffic count on Friday, that is 6^th and 13^th 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 6^th and the 13^th is between 556.04 and 3493.46.

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STAT 200:The British Department of Transportation studied to see if people avoid driving on Friday the 13th.: Expert Solutions for Success

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