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 ("Friday the 13th," 2013). The data for each location on the two different dates is in following table: Table: 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 1992, November 124609 122770 1992, November 117584 117263 Let μ1 = mean traffic count on Friday the 6th. Let μ2 = mean traffic count on Friday the 13th. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. (i) Determine the sample mean of differences x⎯⎯di Determine the sample mean of differences x¯d Enter in decimal form to nearest tenth. (ii) Determine sample standard deviation of differences sd Enter in decimal form to nearest hundredth. Examples of correctly entered answers: 0.01 0.20 0.35 3.00 (iii) Enter the level of significance α used for this interval estimate: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
Q4A
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 ("Friday the 13th," 2013). The data for each location on the two different dates is in following table:
Table: 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 |
|
1992, November |
124609 |
122770 |
|
1992, November |
117584 |
117263 |
Let μ1 = mean traffic count on Friday the 6th. Let μ2 = mean traffic count on Friday the 13th. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level.
(i) Determine the sample mean of differences x⎯⎯di Determine the sample mean of differences x¯d
Enter in decimal form to nearest tenth.
(ii) Determine sample standard deviation of differences sd
Enter in decimal form to nearest hundredth. Examples of correctly entered answers:
0.01 0.20 0.35 3.00
(iii) Enter the level of significance α used for this
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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