3. Local tax information shows the mean income of people living in Anytown is $90,000 with a standard deviation of $22,000 and that generally the income levels follow a bell-shaped distribution. a) (7pts) What percentage of Anytown residents have an income between $24k and $134k? 10. 15 72.35 / 13457 34 134 13.5 2.35 0 . 15 2 24 68 90 112 134 156 175 2.35 + 13.5 + 34+ 34+13.5 = 97.3516 97. 35% of Anytown residents have income between 24 1532 b) (7pts) Compute the z-score for an income level of $100,000. Interpret the meaning of this value. 7 = 100, 800 - 90, 800 - 10080 2. 4545 22, 42 c) (7pts) Suppose that we want to know at what percentile $100,000 lies. Would it be reasonable for someone to suggest that it is at the 45th percentile? Why or why not