Subjects statistics

Act Score Normality Ddd892

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Stating the problem:** We are asked if the ACT scores for students at ACT Academy come from a normal distribution, given the data about Test Prep Extreme and ACT Academy scores, as well as weights of puppies and oats. 2. **Understanding the data:** The problem states that both Test Prep Extreme and ACT Academy data are skewed right. Skewed right means the data distribution has a longer tail on the right side, which is not symmetric. 3. **Normal distribution characteristics:** A normal distribution is symmetric and bell-shaped, with mean = median = mode. Skewed data is not normal. 4. **Given medians and ranges:** Test Prep Extreme median = 21.5, ACT Academy median = 21, and both have the same range. Since both are skewed right, their distributions are not normal. 5. **Conclusion:** Since the ACT Academy data is skewed right, the ACT scores for students do not come from a normal distribution. **Final answer:** No, the ACT scores for students at ACT Academy do not come from a normal distribution because the data is skewed right, which violates the symmetry required for normality.