The images you uploaded seem to be part of a quiz related to determining confidence intervals from a given sample.

In both cases, the quiz asks you to identify the corresponding normal confidence intervals for specific confidence levels (0.95 and 0.98). The key points provided in the images include sample means (represented as $\bar{x} = 56.4$) and the sample ranges for each option, from 52 to 61.

For both questions, you'll be choosing the correct interval based on the confidence level provided, with the correct interval being the one that best reflects the range for each confidence level.

Would you like me to walk you through how to identify these intervals, or do you need assistance with specific calculations? Let me know if you'd like a detailed breakdown of the concepts involved!

Here are some related questions for further exploration:

1. How is the confidence level related to the width of the confidence interval?
2. What factors affect the margin of error in a confidence interval?
3. Can you explain the concept of $\bar{x}$ and how it’s used in determining confidence intervals?
4. What is the general formula for constructing a confidence interval for a population mean?
5. How does a higher confidence level affect the interval?

Tip: When looking at confidence intervals, the higher the confidence level, the wider the interval tends to be.