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To calculate and compare the z-scores for players A and B, you would need to use the means and standard deviations of the number of home runs scored in each of their respective seasons. Here's the approach to solve this:

1. **Locate the Mean and Standard Deviation**: Use the provided mean and standard deviation values (which should be accessible via the "Click the icon" instruction on your quiz interface). Let's denote:
   - For Player A's season:
     - Mean = \( \mu_A \)
     - Standard Deviation = \( \sigma_A \)
   - For Player B's season:
     - Mean = \( \mu_B \)
     - Standard Deviation = \( \sigma_B \)

2. **Calculate the Z-scores**:
   - The z-score formula is:
     \[
     z = \frac{X - \mu}{\sigma}
     \]
   - For Player A:
     \[
     z_A = \frac{63 - \mu_A}{\sigma_A}
     \]
   - For Player B:
     \[
     z_B = \frac{58 - \mu_B}{\sigma_B}
     \]

3. **Compare the Z-scores**: Once you have calculated \( z_A \) and \( z_B \), compare them to determine which is higher. The higher z-score indicates the more impressive performance relative to the season's average performance.

4. **Determine the Result**: If \( z_A > z_B \), Player A's performance was more impressive. If \( z_B > z_A \), then Player B's performance was more impressive.

Would you be able to access the mean and standard deviation values, or would you like any further assistance with this calculation?

### Additional Questions:
1. What is the general significance of a z-score in statistics?
2. How does changing the standard deviation affect the z-score for a given value?
3. Why might using z-scores be more meaningful than comparing raw scores in this context?
4. Can z-scores be negative, and what would a negative z-score indicate in this scenario?
5. How might you use z-scores in other fields outside of sports?

### Tip:
Remember, z-scores are a great way to understand how unusual or typical a specific value is within a distribution, especially when comparing different datasets or distributions.

One season, baseball player A hit 63 home runs. During a different season, baseball player B hit 58 home runs. How does the performance of player A compare to the performance of player B? The table available below shows the means and standard deviations for the number of home runs scored by all players with at least 502 plate appearances in their respective seasons. Use these to determine whose home run feat was more impressive.

Learn how to compare the home run performances of two baseball players using z-scores, given the mean and standard deviation of home runs in their respective seasons. This problem provides a step-by-step solution to calculate z-scores and interpret which performance was more impressive.

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