The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is

27.6 years, with a standard deviation of 3.4 years. The winner in one recent year was 23

years old.

(a) Transform the age to a z-score.

(b) Interpret the results.

An age of 23 is about _____ standard deviation(s) above or below the mean.

(c) Determine whether the age is unusual. Choose the correct answer below.

A.

Yes comma this value is unusual.

A z-score

between minus 2 and 2 is unusual.

nothing

B.

Yes comma this value is unusual.

A z-score outside of the range from minus 2 to 2 is unusual.

C.

No comma this value is not unusual.

A z-score

outside of the range from minus 2 to 2 is not

unusual.

D.

No comma this value is not unusual.

A z-score between minus 2 and 2 is not unusual.