Question 1177014
Here's how to calculate the z-scores and determine who is relatively taller:

**1. Convert Heights to Inches**

* Man: 6 feet 3 inches = (6 * 12) + 3 = 75 inches
* Woman: 5 feet 11 inches = (5 * 12) + 11 = 71 inches

**2. Calculate Z-scores**

* **Man's z-score:**
    * z = (x - μ) / σ
    * z = (75 - 69.2) / 2.65
    * z = 5.8 / 2.65
    * z ≈ 2.1887

* **Woman's z-score:**
    * z = (x - μ) / σ
    * z = (71 - 64.7) / 2.54
    * z = 6.3 / 2.54
    * z ≈ 2.4803

**3. Determine Who is Relatively Taller**

* The woman has a higher z-score (2.4803) than the man (2.1887).
* This means the woman's height is further above the average height for women than the man's height is above the average height for men.

**Answers**

* Man's z-score: 2.1887
* Woman's z-score: 2.4803
* Who is relatively taller? The 5 foot 11 inch American woman