Michael M. answered • 09/15/21

M.D USMLE Step 1, B.S in Health Sciences with Multiple Publications

In the New Jersey factory, we can assume that out of 100 candies, 12.5 of them will be green. Likewise with the Tennessee factory, 19.8 of them will be green. Standard deviation, by loose definition is "distance away from the mean". In the case of this problem, the standard deviations for each of the factories (New Jersey and Tennessee respectively) is 3.31 and 3.99, meaning we can either add or subtract that number from the mean to get one standard deviation.

New Jersey Factory: 12.5%-3.31%= **9.19%**

Tennessee Factory: 19.8%-3.99%= 15.81%

As you can see, the ** New Jersey factory** will yield 9.19% green candies at one standard deviation away from the mean giving us our answer. In our sample of 100 candies, approximately 9 of them will be green. These results are

**Remember, results are only unusual at > 2 standard deviations away from the mean. If you need any further help, feel free to message me. I would love to work with you through any other problems that you may have. I hope this helps.**

__usual.__