To find the maximum error (also known as the margin of error) in a confidence interval, you can use the formula:

$\text{Margin of Error} = \frac{\text{Upper Limit} - \text{Lower Limit}}{2}$

Given:

• Confidence interval: 8.56 to 10.19
• Mean: 9.375 (not needed for the margin of error calculation)

Let's calculate the margin of error:

1. Upper limit: 10.19
2. Lower limit: 8.56

Now, use the formula:

$\text{Margin of Error} = \frac{10.19 - 8.56}{2}$

$\text{Margin of Error} = \frac{1.63}{2}$

$\text{Margin of Error} = 0.815$

Therefore, the maximum error is 0.815.

The correct answer is:

0.815

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you interpret a confidence interval in statistics?
2. What are the assumptions for constructing a confidence interval?
3. How does sample size affect the width of a confidence interval?
4. What is the difference between a confidence interval and a prediction interval?
5. How do you calculate the sample mean and standard deviation?
6. What is the relationship between confidence level and margin of error?
7. How can the margin of error be reduced in a study?
8. What is the importance of the confidence level in hypothesis testing?

Tip: Always ensure you have the correct endpoints of the confidence interval before calculating the margin of error to avoid mistakes.