Studying media statistics causes weight gain from all the extra statistics facts shoved into your brain. All semester, I have secretly been gathering data using invisible weight gauges connected to your computers. Here are the results: Among a random sample of 225 Cronkite students studying statistics, the average weight gain per student caused by statistics facts has been 4.6 pounds, with a sample standard deviation of 2.25 pounds. Knowing this, what is the 95% confidence interval of the average weight gain per student I would see if I taught statistics to all Cronkite students?

1.5 to 5.7 pounds

2.4 to 8.8 pounds

3.4 to 6.8 pounds

4.3 to 4.9 pounds

It cannot be determined from the information given.