Question 1178848
Let's break down this problem:

**i) Identify Two Main Variables:**

The two main variables discussed in this scenario are:

1.  **Weight Gain Advantage for Steers (Cattle)**
2.  **Weight Gain Advantage for Hogs (Pigs)**

**ii) Compute the Coefficient of Variation for Each Variable:**

The coefficient of variation (CV) is a measure of relative variability. It is calculated as:

CV = (Standard Deviation / Mean) * 100%

* **Steers (Cattle):**
    * Mean (μ_steers) = 125 pounds
    * Standard Deviation (σ_steers) = 10 pounds
    * CV_steers = (10 / 125) * 100% = 0.08 * 100% = 8%

* **Hogs (Pigs):**
    * Mean (μ_hogs) = 40 pounds
    * Standard Deviation (σ_hogs) = 10 pounds
    * CV_hogs = (10 / 40) * 100% = 0.25 * 100% = 25%

**iii) Based on the Answers to Part ii, Which Population Has Data Values That Are More Variable Relative to the Size of the Population Mean?**

* **Hogs (Pigs) have a higher coefficient of variation (25%)** compared to Steers (8%).

This means that the weight gain advantage for hogs is **more variable relative to its mean** than the weight gain advantage for steers. Even though both have the same standard deviation, the mean weight gain for hogs is much smaller, making the relative variability larger.