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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman