Question

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 approximately bell-shaped. Compare the z-scores for the actors in the following situation.Best ActorBest Supporting ActorIn a particular year, the Best Actor was 40 years old and the Best Supporting Actor was years 66 years old.

Answer 1

Given

To find: The z-sores if x=40 and y=66.

Step-by-step explanation:

It is given that,

That implies,

`\begin{gathered} Best\text{ }Actor,\text{ }z=(x-\mu)/(\sigma) \\ z=(40-41)/(6.4) \\ =-(1)/(6.4) \\ =-0.15625 \end{gathered}`

Also,

`\begin{gathered} Best\text{ }Supporting\text{ }Actor,\text{ }z=(y-\mu)/(\sigma) \\ z=(66-50)/(16) \\ =(16)/(16) \\ =1 \end{gathered}`

Hence, the z-scores are for best actor -0.15625 and 1.