Solved: Comparing z-Scores The table shows population

Chapter 2, Problem 50E

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QUESTION:

Comparing z-Scores The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2013. The distributions of the ages are approximately bell-shaped. In Exercises 50, compare the z-scores for the actors.

                               

 

Best Actor 2005: Jamie Foxx, Age: 37

Best Supporting Actor 2005: Morgan Freeman, Age: 67

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QUESTION:

Comparing z-Scores The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2013. The distributions of the ages are approximately bell-shaped. In Exercises 50, compare the z-scores for the actors.

                               

 

Best Actor 2005: Jamie Foxx, Age: 37

Best Supporting Actor 2005: Morgan Freeman, Age: 67

ANSWER:

Step 1 of 2 

Given the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2013.

Then the table is given below.

Best Actor

Best Supporting Actor

 Year and  Year

 Year and  Year

Our goal is :

We need to compare the z-scores for the actors.

The z-score is the value decreased by the mean, divided by the standard deviation.

Then the z-score formula is

z =

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