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

=45.0

=55.0

=6.2

=13

In a particularyear, the Best Actor was 47 years old and the Best Supporting Actor was 41 years old.

Determine thez-scores for each.

BestActor: z =_____

BestSupportingActor: z =_____

(Round to two decimal places asneeded.)

Interpret thez-scores.

The Best Actor was (more than 1 standard deviation above/less than 1 standard deviation above/less than 2 standard deviations below/more than 2 standard deviations above) themean, and the Best Supporting Actor was (about 2 standard deviations below/about 1 standard deviation below/

more than 1 standard deviation below/more than 2 standard deviations above) the mean (One/Both/Neither)of their agesis/are unusual.