3. For a population with µ = 40 and o = 8, what is the z-score corresponding to X = 34?

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**Question 3:** 

For a population with a mean (\( \mu \)) of 40 and a standard deviation (\( \sigma \)) of 8, what is the z-score corresponding to \( X = 34 \)?

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**Explanation:**

To find the z-score for a specific value in a population, you can use the formula:

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

Where:
- \( X \) is the value you are evaluating (in this case, 34),
- \( \mu \) is the mean of the population (in this case, 40),
- \( \sigma \) is the standard deviation of the population (in this case, 8).

Apply the values to get the z-score:
\[ z = \frac{(34 - 40)}{8} = \frac{-6}{8} = -0.75 \]

So, the z-score corresponding to \( X = 34 \) is -0.75.
Transcribed Image Text:**Question 3:** For a population with a mean (\( \mu \)) of 40 and a standard deviation (\( \sigma \)) of 8, what is the z-score corresponding to \( X = 34 \)? --- **Explanation:** To find the z-score for a specific value in a population, you can use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the value you are evaluating (in this case, 34), - \( \mu \) is the mean of the population (in this case, 40), - \( \sigma \) is the standard deviation of the population (in this case, 8). Apply the values to get the z-score: \[ z = \frac{(34 - 40)}{8} = \frac{-6}{8} = -0.75 \] So, the z-score corresponding to \( X = 34 \) is -0.75.
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