(Solved): III Interpreting percentile ranks Shannon Exper Government agencies keep data about the income dist ...

III Interpreting percentile ranks Shannon Exper Government agencies keep data about the income distribution of the population. The Long family and James family live in a county with 14,000 families. The Long family's income is at the 82 percentile. The James family's income is at the 21" percentile. (If necessary, consult a list of formulas.) (a) Which of the following must be true about the Long family's income? The Long family earns more than about 18% of families in their county. O About 18% of the families in their county earn more than the Long family. O The Long family earns about 82% of the highest income in their county, The Long family earns about 18% of the highest income in their county. (b) Which of the following must be true about the Long family's and the James family's incomes? O The Long family earns more than the James family. Both the Long family and the James family earn more than the median income. O The Long family earns $61,000 more than the James family. The Long family and the James family both have incomes in the bottom half of incomes in their county. MODE N