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The question on your screen involves comparing the relative weights of two babies by finding their corresponding **z-scores** and determining which baby weighs relatively less compared to the gestation period.

### Given Data:
1. **Babies with a gestation period of 32 to 35 weeks**:
   - Mean weight = 2500 grams
   - Standard deviation = 800 grams
2. **Babies with a gestation period of 40 weeks**:
   - Mean weight = 3100 grams
   - Standard deviation = 470 grams
3. **Weights of the babies in the question**:
   - Baby born at 35 weeks weighs 2825 grams.
   - Baby born at 41 weeks weighs 2825 grams.

### Formula for Z-score:
\[
z = \frac{X - \mu}{\sigma}
\]
Where:
- \( X \) = observed value (baby's weight),
- \( \mu \) = mean,
- \( \sigma \) = standard deviation.

### Calculation for the baby born at 35 weeks:
\[
z_{35} = \frac{2825 - 2500}{800} = \frac{325}{800} = 0.41
\]

### Calculation for the baby born at 41 weeks:
\[
z_{41} = \frac{2825 - 3100}{470} = \frac{-275}{470} = -0.59
\]

### Interpretation:
- **Z-score for the baby born at 35 weeks** is **0.41**, meaning the baby's weight is **0.41 standard deviations** above the mean weight for babies born at 35 weeks.
- **Z-score for the baby born at 41 weeks** is **-0.59**, meaning the baby's weight is **0.59 standard deviations** below the mean weight for babies born at 41 weeks.

### Conclusion:
- Since the **z-score for the baby born at 41 weeks** is **smaller** (more negative), this baby weighs relatively less compared to the mean weight of babies born at 41 weeks.
  
Thus, the correct answer is **Option C**:
- "The baby born in week 41 weighs relatively less since its z-score, **-0.59**, is smaller than the z-score of **0.41** for the baby born in week 35."

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Would you like more details or have any questions?

Here are some related questions for further practice:
1. How would the z-score change if the baby born at 35 weeks weighed 2700 grams instead?
2. What is the z-score if a baby born at 40 weeks weighs 3200 grams?
3. How does a negative z-score interpret the relative weight of a baby compared to the average?
4. Can the z-score ever be greater than 1, and what does it mean if it is?
5. What factors could affect the standard deviation of birth weights in this population?

**Tip:** A z-score shows how far a data point is from the mean in terms of standard deviations.

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams, while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 470 grams. A 35-week gestation period baby weighs 2825 grams, and a 41-week gestation period baby weighs 2825 grams. Find the corresponding z-scores. Which baby weighs relatively less?

Solve the problem of comparing the relative weights of two babies born after different gestation periods (35 weeks and 41 weeks) using z-scores. Includes detailed steps and calculations for determining which baby weighs relatively less.

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