Finding z-Scores The distribution of the ages

Chapter 2, Problem 46E

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QUESTION:

Problem 46E

Finding z-Scores The distribution of the ages of the winners of the Tour de France from 1903 to 2012 is approximately bell-shaped. The mean age is 28.1 years, with a standard deviation of 3.4 years. In Exercise, (a) transform the age to a z-score, (b) interpret the results, and (c) determine whether the age is unusual. (Source: Le Tour de France)

Winner

Year

Age

Philippe Thys

1913

23

Questions & Answers

QUESTION:

Problem 46E

Finding z-Scores The distribution of the ages of the winners of the Tour de France from 1903 to 2012 is approximately bell-shaped. The mean age is 28.1 years, with a standard deviation of 3.4 years. In Exercise, (a) transform the age to a z-score, (b) interpret the results, and (c) determine whether the age is unusual. (Source: Le Tour de France)

Winner

Year

Age

Philippe Thys

1913

23

ANSWER:

Answer

Step 1 of 3

(a)

The distribution of the ages of the winners of the Tour de France from 1903 to 2012 is approximately bell-shaped.

The mean age is 28.1 years, with a standard deviation of 3.4 years.

We are asked to transform the age to a

Winner

Year

Age

Philippe Thys

1913

23

The standard score, or , represents the number of standard deviations a value  lies from the mean . To find the  for a value, use the formula

Hence the is


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