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The Leaning Tower of Pisa is an architectural wonder. Engineers concerned about the tower's stability have done extensive studies on its increasing tilt. The following table shows how the lean has changed in excess of 2.9 meters by year since 1975. Year Lean 75 642 Year Line Fit Plot 76 644 780 77 656 760 78 667 740 79 673 720 80 688 Lean 700 81 696 680 82 698 660 83 713 84 717 640 85 725 620 86 742 70 75 80 85 90 87 757 Lean - Predicted Lean YearThis semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem. At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively. The table below highlights this information. Year of School First Second Third Fourth Total College Percents 29% 27% 25% 19% Sample Counts 49 70 56 25 200 Expected Counts 58 54 50 38