Comparing with z-scores

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People tend to be members in the Senate later in their careers than they are in the House of Representatives. Here are some summary statistics for the ages of members of the House of Representatives and the Senate one year in the United States.

Group	Mean age	Standard deviation
Senate	$μ = 62$ ‍ years	$σ = 10$ ‍ years
House of Representatives	$μ = 58$ ‍ years	$σ = 11$ ‍ years

The Senate minority leader that year was

66

years old, while the House of Representatives minority leader was

76

years old.

Relative to their group, which leader was older?

(Choice A)
The Senate minority leader
(Choice B)
The House of Representatives minority leader
(Choice C)
The leaders had equal ages relative to their groups.
(Choice D)
It's impossible to say without seeing all of the individual ages.
(Choice E)
It's impossible to say since we don't know the shape of either distribution.

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 4

Problem