Central Sports and United County Health are two local youth basketball leagues. Last season, Lucy scored a total of points in Central Sports and Rachel scored a total of points in United County Health.

Last season, the total points scored per player in Central Sports had a population mean of points and a standard deviation of points, and the total points scored per player in United County Health had a population mean of points and a standard deviation of points. For each league, the distribution of total points scored last season per player was clearly skewed $($not approximately symmetric$).$

$($a$)$Find the $-$scores of Lucy's total points scored last season as a player in Central Sports and Rachel's total points scored last season as a player in United County Health. Round your answers to two decimal places.

$-$score of Lucy's total points scored last season:

$-$score of Rachel's total points scored last season:

$($b$)$Relative to her population, who was the higher scorer?

Choose the best answer based on the $-$scores of the two players.

Lucy

Rachel

It is unclear who was the higher scorer relative to her population