6. For a population with a standard deviation of o = 6, what is the z-score corresponding to a score that is 12 points above the mean? %3D

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**Question 6:**

For a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?

**Explanation:**

To calculate the z-score, use the formula:

\[ z = \frac{(X - \mu)}{\sigma} \]

Where:
- \( X \) is the score,
- \( \mu \) is the mean,
- \( \sigma \) is the standard deviation.

In this case, \( X = \mu + 12 \), \( \mu = \mu \), and \( \sigma = 6 \). Therefore:

\[ z = \frac{((\mu + 12) - \mu)}{6} = \frac{12}{6} = 2 \]

The z-score is 2.
Transcribed Image Text:**Question 6:** For a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean? **Explanation:** To calculate the z-score, use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the score, - \( \mu \) is the mean, - \( \sigma \) is the standard deviation. In this case, \( X = \mu + 12 \), \( \mu = \mu \), and \( \sigma = 6 \). Therefore: \[ z = \frac{((\mu + 12) - \mu)}{6} = \frac{12}{6} = 2 \] The z-score is 2.
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