The examinations in all accounting sections of one course are pooled after grading and the mean score is found to be 50.2 points. There are enough examinations for the distribution to be approximately Normal. The professor thinks that one of her students is not doing well, and suspects that this student has a lower mean score than students in all accounting sections as a whole. The student that is possibly not doing well has an exam score of 45 points. The standard deviation for all exams is 3 points