Question

Question Help Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 35 and the age of the winner for best actress was 48. For all best actors, the mean age is 43 years and the standard deviation is 5 years. For at best actresses the age is 35.2 years and the landed deviation is 10.5 years. (Alleges are determined at the time of the awards ceremony) Relative to their genders, who had the more extreme age when wering the word, the actor or the plan Since the z score for the actor is ze 88 and the score for the actress is ze 67.the actor had the more extreme ape (Round to two decimal places)

Answer 1

Given data,

Actor best age X = 35

Mean μ = 43.3

Standard Deviation σ = 5.3

Z score Z =  (X - μ) / σ = (35 - 43.3) / 5.3 = -1.56604 ~ -1.57

Actress best age X = 48

Mean μ = 35.2

Standard Deviation σ = 10.5

Z score Z =  (X - μ) / σ = (48 - 35.2) / 10.5 = 1.21905 ~ 1.22

Since the z score for actor is -1.57 and the z score for actress is 1.22 the actress had more extreme age.

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