In 2016, Thomas Loughran, Ray Paternoster, Aaron Chalfin, and Theodore Wilson provided evidence that rational choice theory is a general theory of crime. Generally, the rational choice theory argument suggests that one will offend when the rewards outweigh the costs and that one will not offend when the costs outweigh the rewards. You are skeptical of the results, so you obtain a sample of 200 people to replicate their findings. You measure offending between two groups from your data: one group where respondents reported higher levels of the rewards of crime as compared to the costs, and the second group that reported higher levels of the costs of crime as compared to the rewards. With the following sample statistics, construct a 95% confidence interval around the mean number of times these two groups offended in the last six months:

Rewards Higher than Costs	Costs Higher than Rewards
X(bar) = 5	X(bar) = 1
s = 2	s = 2.5
n = 100	n = 100

What does the interval you constructed tell us about those who perceive the rewards of crime to be higher than the costs as compared to those who perceive the costs of crime to be higher than the rewards? Interpret these results.