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

3939

and the age of the winner for best actress was

5050.

For all best actors, the mean age is

47.947.9

years and the standard deviation is

7.37.3

years. For all best actresses, the mean age is

32.332.3

years and the standard deviation is

10.710.7

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

actor

actress

had the more extreme age.

(Round to two decimal places.)

Explanation / Answer

z score for the actor = (39 - 47.9)/7.3 = -1.22

z score for actress = (50 - 32.3)/10.7 = 1.65

The actress had the more extreme age.

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