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Hypothesis Test

A data set can be found at the Data and Story Library site: http://lib.stat.cmu.edu/DASL by searching for Friday the 13th materials.

The data were collected in an effort to study various aspects of human behavior on Friday 13th by monitoring the change in traffic patterns between Friday the 6th and the subsequent Friday the 13th along with shopping traffic and accident reports.

A. Use the data in the accident category from the Friday the 13th data file, along with an appropriate hypothesis test to answer the question: Is Friday the 13th any more unlucky than Friday the 6th?

B. Do more people shop on Friday the 13th? Justify your answer by formulating and executing a hypothesis test.

Solution Preview

A data set can be found at the Data and Story Library site: http://lib.stat.cmu.edu/DASL)by searching for Friday the 13th materials.

The data were collected in an effort to study various aspects of human behavior on Friday 13th by monitoring the change in traffic patterns between Friday the 6th and the subsequent Friday the 13th along with shopping traffic and accident reports.
A. Use the data in the accident category from the Friday the 13th data file, along with an appropriate hypothesis test to answer the question: Is Friday the 13th any more unlucky than Friday the 6th?

accident 1989, October 9 13 SWTRHA hospital
accident 1990, July 6 12 SWTRHA hospital
accident 1991, September 11 14 SWTRHA hospital
accident 1991, December 11 10 SWTRHA hospital
accident 1992, March 3 4 SWTRHA hospital
accident 1992, November 5 12 SWTRHA hospital

To see if there is a difference in the number of accidents, we're going to use a two-sample t-test to compare the mean number of accidents on the 6th of the month and the 13th of the month.

The alternative hypothesis is that there are more accidents on the 13th than on the 6th, and the null hypothesis is that the number of accidents on the 13th is ...

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