A dean at a private school wants to estimate the mean IQ of her student body without having to go through the time and expense of administering to all 1000 students. Instead, she selects randomly 25 students and gives them the test. She finds the mean of 105. She cannot be sure that this school represents the average of all students having a sample size of only 25. We have a standard deviation of 15. Conduct a 95% confidence interval to determine the range of the IQ scores for the population of students at the private school.