The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is 27.9 ​years, with a standard deviation of 3.8 years. The winner in one recent year was 34 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.   z=_____ ​(Type an integer or decimal rounded to two decimal places as​ needed.) Part 2 ​(b) Interpret the results.   An age of 34 is enter your response here standard​ deviation(s) ▼   aboveabove or belowbelow the mean. ​(Type an integer or decimal rounded to two decimal places as​ needed.) Part 3 ​(c) Determine whether the age is unusual. Choose the correct answer below.     A. Yes, this value is unusual. A​ z-score between −2 and 2 is unusual.   B. No, this value is not unusual. A​ z-score outside of the range from −2 to 2 is not unusual.   C. No, this value is not unusual. A​ z-score between −2 and 2 is not unusual.   D. Yes, this value is unusual. A​ z-score outside of the range from −2 to 2 is unusual.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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The ages of the winners of a cycling tournament are approximately​ bell-shaped. The mean age is
27.9
​years, with a standard deviation of
3.8
years. The winner in one recent year was
34
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.
 
z=_____
​(Type an integer or decimal rounded to two decimal places as​ needed.)
Part 2
​(b) Interpret the results.
 
An age of
34
is
enter your response here
standard​ deviation(s)
 
aboveabove or
belowbelow
the mean.
​(Type an integer or decimal rounded to two decimal places as​ needed.)
Part 3
​(c) Determine whether the age is unusual. Choose the correct answer below.
 
 
A.
Yes, this value is unusual.
A​ z-score
between −2 and 2 is unusual.
 
B.
No, this value is not unusual.
A​ z-score
outside of the range from −2 to 2 is not
unusual.
 
C.
No, this value is not unusual.
A​ z-score between −2 and 2 is not unusual.
 
D.
Yes, this value is unusual.
A​ z-score outside of the range from −2 to 2 is unusual.
 
 
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