Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount spent on in-state tuition for a randomly selected student has a mean of 2,523.75 and a standard deviation of1,003.25. The amount spent on out-of-state tuition for a randomly selected student has a mean of 3,825.00 and a standard deviation of1,126.50. Suppose we randomly select one student who pays in-state tuition and one student who pays out-of-state tuition. What is the standard deviation of the sum of the amounts spent on in-state and out-of-state tuition?
