2. You have been doing research for your statistics class on the prevalence of binge drinking among teens. According to 2013 Monitoring the Future data, the average binge drinking score for a sample of 965 teens is 1.28, with a standard deviation of 0.85. Binge drinking is defined as the number of times the teen drank five or more alcoholic drinks during the past week.

1. Construct the 95% confidence interval for the true average severe binge drinking score.

1. Your roommate is concerned about your confidence interval calculation, arguing that severe binge drinking scores are not normally distributed, which in turn makes the confidence interval calculation meaningless. Assume your roommate is correct about the distribution of severed binge drinking scores. Does that imply that the calculation of a confidence interval is not appropriate? Why or why not?