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Lisa [10]
2 years ago
13

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 54. For

all best​ actors, the mean age is 42.1 years and the standard deviation is 6.6 years. For all best​ actresses, the mean age is 34.3 years and the standard deviation is 10.1 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.
Mathematics
1 answer:
Arada [10]2 years ago
6 0

Answer:

The actress has the more extreme age because

Step-by-step explanation:

Given

Male Athletes:

x = 35

\=x = 42.1

SD = 6.6

Female Athletes

x = 54

\=x = 34.3

SD = 10.1

Required

Determine which athlete had more extreme age

To do this, we simply calculate the standard z score using

z = \frac{x - \=x}{SD}

For the actor:

z = \frac{35 - 42.1}{6.6}

z = \frac{-7.1}{6.6}

z = 1.0758

For the actress:

z = \frac{54 - 34.3}{10.1}

z = \frac{19.7}{10.1}

z = 1.950

Comparing both z values;

The actress has the more extreme age because

  • <em>It has a positive z value</em>
  • <em>Its z value is greater than that of the actor</em>

<em></em>

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