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Finding z-Scores The distribution of the ages
Chapter 2, Problem 46E(choose chapter or problem)
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