Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 52. For all best actors, the mean age is 42.9 years and the standard deviation is 7.8 years. For all best actresses, the mean age is 32.5 years and the standard deviation is 10.3 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 V had the more extreme age (Round to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Use z scores to compare the given values.
In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 52. For all best actors, the mean age is 42.9 years and the standard deviation is 7.8 years. For all best actresses, the mean age is 32.5 years and the standard deviation is 10.3 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 isz=|, the
V had the more extreme age.
(Round to two decimal places.)
Transcribed Image Text:Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 52. For all best actors, the mean age is 42.9 years and the standard deviation is 7.8 years. For all best actresses, the mean age is 32.5 years and the standard deviation is 10.3 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 isz=|, the V had the more extreme age. (Round to two decimal places.)
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Follow-up Question
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation.
Best Actor
Best Supporting Actor
H= 46.0
o = 7.3
In a particular year, the Best Actor was 28 years old and the Best Supporting Actor was 57 years old.
H = 55.0
o = 13
Determine the z-scores for each.
Best Actor: z =
Best Supporting Actor: z =
(Round to two decimal places as needed.)
Transcribed Image Text:The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor H= 46.0 o = 7.3 In a particular year, the Best Actor was 28 years old and the Best Supporting Actor was 57 years old. H = 55.0 o = 13 Determine the z-scores for each. Best Actor: z = Best Supporting Actor: z = (Round to two decimal places as needed.)
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