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

28.8

years, with a standard deviation of

3.6

years. The winner in one recent year was

24

years old.

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

(b) Interpret the results.

(c) Determine whether the age is unusual.

Question content area bottom

Part 1

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

z=enter your response here

(Type an integer or decimal rounded to two decimal places as needed.)

Part 2

(b) Interpret the results.

An age of

24

is

enter your response here

standard deviation(s)

aboveabove

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,thisvalueisunusual.

A z-score

between2and2isunusual.

B.

No,thisvalueisnotunusual.

A z-score

outsideoftherangefrom2to2isnot

unusual.

C.

No,thisvalueisnotunusual.

A z-score between2and2isnotunusual.

D.

Yes,thisvalueisunusual.

A z-score outsideoftherangefrom2to2isunusual.

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