Arnold Bicep, physical fitness director for the Louisville public school system, would like to argue that a mandatory physical fitness class be required for all students. He thinks that student are at least 15 pounds overweight. To test his supposition, he takes a sample of 25 students; these students are on the average 17.4 pounds overweight with a standard deviation of 31. Could this sample have been drawn from a population with a mean of 15? If it could be drawn from such a sample, what would this say about Bicep’s supposition?