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 p=42.0 u= 52.0 o=8.3 0= 12 In a particular year, the Best Actor was 43 years old and the Best Supporting Actor was 40 years old. Determine the z-scores for each. Best Actor. z = 12 Best Supporting Actor: z = -1 (Round to two decimal places as needed) Interpret the z-scores. The Best Actor was less than 1 standard deviation above the mean, and the Best Supporting Actor was about 1 standard deviation below the mean. Both of their ages is/are unusual.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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. Compare the z-scores for the actors in the following situation.

- **Best Actor**
  - Mean (\(\mu\)): 42.0
  - Standard Deviation (\(\sigma\)): 8.3

- **Best Supporting Actor**
  - Mean (\(\mu\)): 52.0
  - Standard Deviation (\(\sigma\)): 12

In a particular year, the Best Actor was 43 years old and the Best Supporting Actor was 40 years old.

**Determine the z-scores for each:**

- Best Actor: \( z = \)
- Best Supporting Actor: \( z = -1 \)
  (Round to two decimal places as needed.)

**Interpret the z-scores:**

The Best Actor was [less than 1 standard deviation above] the mean, and the Best Supporting Actor was [about 1 standard deviation below] the mean. [Both] of their ages is/are unusual.

(Note: The details and interpretations within the brackets indicate drop-down options available to the user in an interactive educational setting.)
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. Compare the z-scores for the actors in the following situation. - **Best Actor** - Mean (\(\mu\)): 42.0 - Standard Deviation (\(\sigma\)): 8.3 - **Best Supporting Actor** - Mean (\(\mu\)): 52.0 - Standard Deviation (\(\sigma\)): 12 In a particular year, the Best Actor was 43 years old and the Best Supporting Actor was 40 years old. **Determine the z-scores for each:** - Best Actor: \( z = \) - Best Supporting Actor: \( z = -1 \) (Round to two decimal places as needed.) **Interpret the z-scores:** The Best Actor was [less than 1 standard deviation above] the mean, and the Best Supporting Actor was [about 1 standard deviation below] the mean. [Both] of their ages is/are unusual. (Note: The details and interpretations within the brackets indicate drop-down options available to the user in an interactive educational setting.)
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