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

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The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on Friday the 6th and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in the following table:

Table: Traffic Count

 

Dates

6th 13th

139246 138548

134012 132908

137055 136018

133732 131843

123552 121641

121139 118723

128293 125532

124631 120249

124609 122770

117584 117263

 

Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.

(I) Let u1 = mean traffic count on the 6th. Let u2 = mean traffic count on 13th. State the null hypothesis H_O

(II) State the alternative hypothesis H_A

(III) State the level of significance x used for this test

(IV) Determine sample mean of differences X_d

(V) Determine sample standard deviation of differences S_d

(VI) State test statistic

(VII) Determine degree of freedom for the sample differences df_d

(VIII) Determine p-value

(IX) Compare p-value and x value and make a decision on the hypothesis test

(X) Interpret test results