Answer to Question #145974 in Statistics and Probability for Vladimyr Lubin

Question

(3.3.16) In a recent awards​ ceremony, the age of the winner for best actor was 32 and the age of the winner for best actress was 50. For all best​ actors, the mean age is 41.3 years and the standard deviation is 5.4 years. For all best​ actresses, the mean age is 35.3 years and the standard deviation is 10.2 years.​ (All ages are determined at the time of the awards​ ceremony.) Relative to their​ genders, who had the more extreme age when winning the​ award, the actor or the​ actress? Explain.
Since the z score for the actor is z ? and the z score for the actress is z=?​, the actress/actor had the more extreme age

Answer 1

Actor:

x(raw score)=32

$\mu$(population mean)=41.3

σ(standart deviation)=5.4

Actress:

x(raw score)=50

$\mu$(population mean)=35.3

σ(standart deviation)=10.2

z=(x-$\mu$)/σ

Since the z score for the actor is z=-1.72 and the z score for the actress is z=1.44​, the actor had the more extreme age.