Since the z score for the winner of Best Actor is z = and the z score for the winner of Best Actress is z = age. (Round to two decimal places.) the winner of had the more extreme

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Question 10

**Comparing Ages Using Z-scores: Best Actor vs. Best Actress**

To compare the extremity of ages between different award winners, we can use z-scores.

**Problem:**

In a recent awards ceremony:
- The age of the winner for the Best Actor award was 35 years.
- The age of the winner for the Best Actress award was 53 years.

For all recipients of the Best Actor award:
- The mean age is 43.6 years.
- The standard deviation is 6.7 years.

For all recipients of the Best Actress award:
- The mean age is 36.7 years.
- The standard deviation is 10.8 years.

(All ages are determined at the time of the awards ceremony.)

**Question:**
Relative to the award category, who had the more extreme age when winning the award, the winner of Best Actor or the winner of Best Actress? Explain.

---

Since the z-score for the winner of Best Actor is \( z = \) [ _____ ] and the z-score for the winner of Best Actress is \( z = \) [ _____ ]:
- The winner of [ Best Actor / Best Actress ] had the more extreme age.

*(Round to two decimal places.)*
Transcribed Image Text:**Comparing Ages Using Z-scores: Best Actor vs. Best Actress** To compare the extremity of ages between different award winners, we can use z-scores. **Problem:** In a recent awards ceremony: - The age of the winner for the Best Actor award was 35 years. - The age of the winner for the Best Actress award was 53 years. For all recipients of the Best Actor award: - The mean age is 43.6 years. - The standard deviation is 6.7 years. For all recipients of the Best Actress award: - The mean age is 36.7 years. - The standard deviation is 10.8 years. (All ages are determined at the time of the awards ceremony.) **Question:** Relative to the award category, who had the more extreme age when winning the award, the winner of Best Actor or the winner of Best Actress? Explain. --- Since the z-score for the winner of Best Actor is \( z = \) [ _____ ] and the z-score for the winner of Best Actress is \( z = \) [ _____ ]: - The winner of [ Best Actor / Best Actress ] had the more extreme age. *(Round to two decimal places.)*
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