The local university is interested in how far from home, on average, students travel to attend this college. (a) To nd out, the dean of admissions surveys a simple random sample of students from the database of all students attending this university. Will the dean's sample result be exactly the same as the true population of university students? ' Yes. She took a simple random sample, which gives results that exactly match the population. ' Yes. A simple random sample ensures that the results will match the population because chance was involved in selecting the sample. ' No. Different random samples will include different students, thus different estimates. ' No. A simple random sample's result will not match the population because the dean did not include faculty members in this sample. (b) Which sample size would more likely be closer to the true population average distance from home, 45 or 100? Why? ' A size of 45 is more likely to be closer to the true population avemge because it is a smaller sample, which is easier to conduct. " A size of 100 is more likely to be closer to the true population average because it is a larger sample, which gives better information about the population. (c) The dean decides to break the student population into subgroups of socioeconomic status since she believes that students coming from wealthier families travel farther, on average. What type of sampling method is this? ' stratied random sample ' convenience sample ' system sample ' complex random sample