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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

 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

Answer

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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