Use z scores to compare the given values. In a recent awards ceremony, the age o

Question

Use z scores to compare the given values.

In a recent awards ceremony, the age of the winner for best actor was

3030

and the age of the winner for best actress was

4747.

For all best actors, the mean age is

43.143.1

years and the standard deviation is

7.57.5

years. For all best actresses, the mean age is

33.733.7

years and the standard deviation is

11.711.7

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

zequals=nothing

and the z score for the actress is

zequals=nothing,

the

actress

actor

had the more extreme age.

(Round to two decimal places.)

Explanation / Answer

z score for the actor = (30 - 43.1)/7.5 = -1.75

z score for the actress = (47 - 33.7)/11.7 = 1.14

Actor had the more extreme age.

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