The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximatelybell-shaped. Compare thez-scores for the actors in the following situation.

Best Actor

Best Supporting Actor

=42.0

=55.0

=8.1

=13

In a particularyear, the Best Actor was 23 years old and the Best Supporting Actor was 57 years old.

Determine thez-scores for each.

BestActor:

z

=

nothing

BestSupportingActor:

z

=

nothing

(Round to two decimal places asneeded.)

Interpret thez-scores.

The Best Actor was

more than 2 standard deviations below

more than 1 standard deviation above

less than 1 standard deviation above

less than 2 standard deviations below

themean, which

is

is not

unusual. The Best Supporting Actor was

less than 1 standard deviation above

more than 1 standard deviation above

more than 2 standard deviations below

more than 1 standard deviation below

themean, which

is

is not

unusual.