Government agencies keep data about the income distribution of the population. The Alexander family and Smith family live in a county with 9000 families. The Alexander family's income is at the 62nd percentile. The Smith family's income is at the 76th percentile.

(a) Which of the following must be true about the Alexander family's and the Smith family's incomes?

-The Alexander family earns more than the Smith family.

-Both the Alexander family and the Smith family earn more than the median income.

-The Smith family earns $14,000 more than the Alexander family.

-The Alexander family and the Smith family both have incomes in the bottom half of incomes in their county.

(b) Which of the following must be true about the Alexander family's income?

-The Alexander family earns less than about 62% of families in their county.

-The Alexander family earns about 62% of the highest income in their county.

-The Alexander family earns more than about 62% of families in their county.

-The Alexander family earns about 38% of the highest income in their county.