Subjects statistics

Confidence Interval 26Cc0A

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

Use the AI math solver

1. **State the problem:** We need to find the confidence interval given the sample mean $\bar{x} = 70.60$ and the margin of error $E = 2.65$. 2. **Formula for confidence interval:** The confidence interval is calculated as $$\text{Confidence Interval} = \bar{x} \pm E$$ where $\bar{x}$ is the sample mean and $E$ is the margin of error. 3. **Calculate the lower bound:** $$70.60 - 2.65 = 67.95$$ 4. **Calculate the upper bound:** $$70.60 + 2.65 = 73.25$$ 5. **Write the confidence interval:** $$\boxed{(67.95, 73.25)}$$ This means we are confident that the true population mean lies between 67.95 and 73.25 based on the sample data and margin of error provided.