MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 \( \text{unusual} \).
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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.
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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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