Question

Age at the time they won the award)

Actors- Mean=44.1 Standard deviation=8.8

Actresses- Mean=36.0 Standard deviation = 11.4

Danie was 29 when he won best actor. Yalitza was 25 when she won best actress. Which of the following reflect Daniel and Yalitzas standardized scores and the correct conclusion about who was relatively younger at the time of nomination.

Daniel. 1.72 Yalitza .86. Yalitza was younger

Yalitza -1.72 Daniel. .86

Answer 1

Actors:

Mean = $\mu$ = 44.1

standard deviation = $\sigma$ = 8.8

Daniel's age = x = 29

Standardized Score of Daniel:

z = T

29 44.1 8.8

z = - 1.72           (Round to 2 decimal)

Actress:

Mean = $\mu$ = 36.0

standard deviation = $\sigma$ = 11.4

Yalitza's age = x = 25

Standardized Score of Yalitza:

z = T

25 36 11.4

z = - 0.96

Daniel's standardized score = - 1.72

Yalitza's standardized score = - 0.96

Here Yalitza's standardized score is close to zero.

So Yalitza is younger.