The ages of the winners of a cycling tournament are approximately bell-shaped. T
ID: 3074499 • Letter: T
Question
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is
27.527.5
years, with a standard deviation of
3.53.5
years. The winner in one recent year was
3232
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 equalsz=nothing
(Type an integer or decimal rounded to two decimal places as needed.)
(b) Interpret the results.
An age of
3232
is about
nothing
standard deviation(s)
belowbelow
aboveabove
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 comma this value is unusual.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 comma this value is not unusual.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.unusual.
C.
No comma this value is not unusual.No, this value is not unusual.
A z-score between minus 2 and 2 is not unusual.between 2 and 2 is not unusual.
D.
Yes comma this value is unusual.Yes, this value is unusual.
A z-score
between minus 2 and 2 is unusual.between 2 and 2 is unusual.
Explanation / Answer
a)
Z=(X-mean)/sd
=(32-27.5)/3.5=1.2857
z=1.2857
b) An age of 32 is about 1.2857 standard deviation above then mean.
c)
(C) No, this value is not unusual. A z-score between minus 2 and 2 is not unusual
..........................
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