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 Actor Best Supporting Actor H=44.0 H=49.0 o =9.1 o= 15 In a particular year, the Best Actor was 65 years old and the Best Supporting Actor was 45 years old. Determine the z-scores for each. Best Actor: z = 2.31 Best Supporting Actor: z = -0.27 (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which V unusual. The Best-Supporting Actor was V the mean, which V unusual.
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 Actor Best Supporting Actor H=44.0 H=49.0 o =9.1 o= 15 In a particular year, the Best Actor was 65 years old and the Best Supporting Actor was 45 years old. Determine the z-scores for each. Best Actor: z = 2.31 Best Supporting Actor: z = -0.27 (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which V unusual. The Best-Supporting Actor was V the mean, which V unusual.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
**Best Actor**:
- Mean (\(\mu\)) = 44.0
- Standard deviation (\(\sigma\)) = 9.1
**Best Supporting Actor**:
- Mean (\(\mu\)) = 49.0
- Standard deviation (\(\sigma\)) = 15
In this particular year, the Best Actor was 65 years old and the Best Supporting Actor was 45 years old.
**Determine the z-scores for each:**
- **Best Actor**: \( z = 2.31 \)
- **Best Supporting Actor**: \( z = -0.27 \)
(Round to two decimal places as needed.)
**Interpret the z-scores:**
- The Best Actor was \( \text{above} \) the mean, which is considered \( \text{unusual} \).
- The Best Supporting Actor was \( \text{below} \) the mean, which is not considered \( \text{unusual} \).
![The image displays a statistics question related to z-scores and age distributions. Here's the detailed transcription:
---
**The table shows population statistics for the ages of Best Actor and Best Supporting Actor. Compare the z-scores for the actors in the following situation:**
- Best Actor:
- Mean (\( \mu \)) = 44.0
- Standard Deviation (\( \sigma \)) = 9.1
- Best Supporting Actor:
- Mean (\( \mu \)) = 49.0
- Standard Deviation (\( \sigma \)) = [unspecified in the image]
**In a particular year, a Best Actor was 37 years old, and a Best Supporting Actor was 45 years old.**
Tasks:
1. **Determine the z-scores:**
- Best Actor: [Blank for answer]
- Best Supporting Actor: [Blank for answer]
2. **Round to two decimal places.**
3. **Interpret the z-scores:**
The Best Actor was [Options: more than 2 standard deviations above/below the mean, more than 1 standard deviation above/below the mean, less than 1 standard deviation above/below the mean, less than 2 standard deviations below the mean], which was considered [Options: unusual/not unusual].
The Best Supporting Actor was [Options: similar structure as above].
**Additional Features:**
- **Help Me Solve This** button
- **View an Example** button
- **Get More Help** option
- **Clear All** button
- **Check Answer** button
---
There are no graphs or diagrams visible in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdabeff17-6e30-4e7b-b604-e664e91c4527%2F328cb6a0-c301-4a91-beb7-55da9dd65a28%2Farc41ps_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays a statistics question related to z-scores and age distributions. Here's the detailed transcription:
---
**The table shows population statistics for the ages of Best Actor and Best Supporting Actor. Compare the z-scores for the actors in the following situation:**
- Best Actor:
- Mean (\( \mu \)) = 44.0
- Standard Deviation (\( \sigma \)) = 9.1
- Best Supporting Actor:
- Mean (\( \mu \)) = 49.0
- Standard Deviation (\( \sigma \)) = [unspecified in the image]
**In a particular year, a Best Actor was 37 years old, and a Best Supporting Actor was 45 years old.**
Tasks:
1. **Determine the z-scores:**
- Best Actor: [Blank for answer]
- Best Supporting Actor: [Blank for answer]
2. **Round to two decimal places.**
3. **Interpret the z-scores:**
The Best Actor was [Options: more than 2 standard deviations above/below the mean, more than 1 standard deviation above/below the mean, less than 1 standard deviation above/below the mean, less than 2 standard deviations below the mean], which was considered [Options: unusual/not unusual].
The Best Supporting Actor was [Options: similar structure as above].
**Additional Features:**
- **Help Me Solve This** button
- **View an Example** button
- **Get More Help** option
- **Clear All** button
- **Check Answer** button
---
There are no graphs or diagrams visible in the image.
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