a. Wha is the proportion of males in this age range with blood pressure greater than 100 b. What is proportion of males in this age range with blood pressure that is between 80 and 100? c. What are the Q1 and Q3 values?

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### Blood Pressure Analysis for Males Aged 20 to 29

A recent medical study reported findings on diastolic blood pressure for males in the 20 to 29-year-old age range. The study found that blood pressure is approximately normally distributed with a mean of 91.7 and a standard deviation of 10.5. Using these parameters, consider the following questions:

#### Questions

a. **What is the proportion of males in this age range with blood pressure greater than 100?**

b. **What is the proportion of males in this age range with blood pressure that is between 80 and 100?**

c. **What are the Q1 and Q3 values?**

### Explanation

- **Normal Distribution:** Used to estimate probabilities and percentiles for data that is symmetrically distributed around a mean (average).
- **Mean (µ):** 91.7
- **Standard Deviation (σ):** 10.5

**Graphical Analysis (not provided):**

While the graphs are not included here, they would typically show a bell curve representing the normal distribution, with highlighted areas under the curve corresponding to solutions for a, b, and c. You would see shaded areas representing:

- Blood pressures greater than 100 for part (a).
- Blood pressures between 80 and 100 for part (b).
- Locations for Q1 (25th percentile) and Q3 (75th percentile) for part (c).

These areas would help visualize the proportion of the population that falls into each category. Use of statistical tables or software can determine these proportions accurately.
Transcribed Image Text:### Blood Pressure Analysis for Males Aged 20 to 29 A recent medical study reported findings on diastolic blood pressure for males in the 20 to 29-year-old age range. The study found that blood pressure is approximately normally distributed with a mean of 91.7 and a standard deviation of 10.5. Using these parameters, consider the following questions: #### Questions a. **What is the proportion of males in this age range with blood pressure greater than 100?** b. **What is the proportion of males in this age range with blood pressure that is between 80 and 100?** c. **What are the Q1 and Q3 values?** ### Explanation - **Normal Distribution:** Used to estimate probabilities and percentiles for data that is symmetrically distributed around a mean (average). - **Mean (µ):** 91.7 - **Standard Deviation (σ):** 10.5 **Graphical Analysis (not provided):** While the graphs are not included here, they would typically show a bell curve representing the normal distribution, with highlighted areas under the curve corresponding to solutions for a, b, and c. You would see shaded areas representing: - Blood pressures greater than 100 for part (a). - Blood pressures between 80 and 100 for part (b). - Locations for Q1 (25th percentile) and Q3 (75th percentile) for part (c). These areas would help visualize the proportion of the population that falls into each category. Use of statistical tables or software can determine these proportions accurately.
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