The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is 27.7 ​years, with a standard deviation of 3.7 years. The winner in one recent year was 32 years old. ​(a) Transform the age to a​ z-score. ​(b) Interpret the results. ​(c) Determine whether the age is unusual.

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The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is
27.7
​years, with a standard deviation of
3.7
years. The winner in one recent year was
32
years old.
 
​(a) Transform the age to a​ z-score.
​(b) Interpret the results.
​(c) Determine whether the age is unusual.
 
 
 

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Part 1
​(a) Transform the age to a​ z-score.
 
z=1.16
 
1.16
​(Type an integer or decimal rounded to two decimal places as​ needed.)
Part 2
​(b) Interpret the results.
 
An age of
32
is
enter your response here
 
standard​ deviation(s)
 
aboveabove
belowbelow
the mean.
​(Type an integer or decimal rounded to two decimal places as​ needed.)
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