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To solve this problem using the 68-95-99.7 rule (or Empirical Rule) with a normal distribution:

1. **Mean (μ):** 97.9°F
2. **Standard Deviation (σ):** 0.8°F

The 68-95-99.7 rule states that:
- About **68%** of the data falls within **1 standard deviation** of the mean.
- About **95%** falls within **2 standard deviations** of the mean.
- About **99.7%** falls within **3 standard deviations** of the mean.

For this question, since we're looking for **95%**, we need to consider **2 standard deviations** from the mean.

### Calculating the Interval for 95%
- Lower bound: \( 97.9 - 2 \times 0.8 = 97.9 - 1.6 = 96.3 \) °F
- Upper bound: \( 97.9 + 2 \times 0.8 = 97.9 + 1.6 = 99.5 \) °F

So, about **95% of the body temperatures** are expected to be between **96.3°F and 99.5°F**.

### Answer Choice
Based on this, you should fill in **96.3°F** and **99.5°F** in option **A** for the correct answer.

Would you like further details on this solution or have any additional questions?

Here are five related questions to expand your understanding:
1. What would the interval be if we wanted to capture 68% of the body temperatures?
2. How would the interval change if the standard deviation were different?
3. Why does the Empirical Rule apply specifically to normal distributions?
4. What does the 99.7% interval tell us about extreme values in a normal distribution?
5. How would you interpret values outside the 99.7% interval in terms of body temperature?

**Tip:** When using the Empirical Rule, always start by identifying the mean and standard deviation clearly to set up the interval calculations accurately.

In what interval would you expect most people's body temperatures to be? Using the 68-95-99.7 Rule, about 95% of the body temperatures are expected to be between what values?

Learn how to calculate the interval where 95% of body temperatures are expected to fall using the Empirical Rule. With a mean of 97.9°F and standard deviation of 0.8°F, find the temperature range based on the 68-95-99.7 Rule. Ideal for college statistics students.

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