A survey conducted on a reasonably random sample of 203 undergraduates asked, among many other questions, about the number of exclusive relationships these students have been in. The histogram below shows the distribution of the data from this sample. The sample average is 3.2 with a standard deviation of 1.97.

Estimate the average number of exclusive relationships Duke students have been in using a 90% confidence interval and interpret this interval in context. Check any conditions required for in- ference, and note any assumptions you must make as you proceed with your calculations and conclusions.

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100 80 60 40 20 0 2 6 8 Number of exclusive relationships 10 100 80 60 40 20 0 2 6 8 Number of exclusive relationships 10