The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is 27.1 ​years, with a standard deviation of 3.7 years. The winner in one recent year was 31 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
27.1
​years, with a standard deviation of
3.7
years. The winner in one recent year was
31
years old.
 
​(a) Transform the age to a​ z-score.
​(b) Interpret the results.
​(c) Determine whether the age is unusual.
​(a) Transform the age to a​ z-score.
 
A) Z score 
​(Type an integer or decimal rounded to two decimal places as​ needed.)
 
​(b) Interpret the results.
An age of
31
is about
standard​ deviation(s)
 
above
below
the mean.
​(Type an integer or decimal rounded to two decimal places as​ needed.)
 
​(c) Determine whether the age is unusual. Choose the correct answer below.
 
 
A.
.Yes, this value is unusual.
A​ z-score outside of the range from minus 2 to 2 is unusual.outside of the range from −2 to 2 is unusual.
 
B.
No, this value is not unusual.
A​ z-score
outside of the range from minus 2 to 2 is notoutside of the range from −2 to 2 is not
unusual
 
C.
Yes, this value is unusual.
A​ z-score
between minus 2 and 2 is unusual.between −2 and 2 is unusual.
nothing
 
D.
No, this value is not unusual.
A​ z-score between minus 2 and 2 is not unusual.
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