1. **Problem:** Which statement correctly compares t-distributions to the normal distribution? 2. **Statements:** I. t distributions are also mound shaped and symmetric. II. t distributions have less spread than the normal distribution. III. As degrees of freedom increase, the variance of t distributions becomes smaller. 3. **Explanation:** - The t-distribution is similar to the normal distribution in being symmetric and mound-shaped, so statement I is true. - However, t-distributions have more spread (heavier tails) than the normal distribution, especially with low degrees of freedom, so statement II is false. - As degrees of freedom increase, the t-distribution approaches the normal distribution, and its variance approaches 1 (the variance of the standard normal), so the variance decreases from a higher value to 1, meaning statement III is true. 4. **Conclusion:** - Statements I and III are true, II is false. 5. **Answer:** D) I and III only