The figure shows 80%80% confidence intervals for the number of adults who contracted the flu last month for ten cities in your state. The cities are labeled A through J and the point represents the sample mean.
 

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Can we say with 80%80% certainty that city I had at least 650650 cases of this virus among adults last month?

To determine if we can say with 80% certainty that city I had at least 650 cases of flu among adults last month, we need to examine the lower bound of the 80% confidence interval for city I.

Here's the process to make this determination:

1. **Identify the 80% Confidence Interval for City I**:
   - The confidence interval will be represented by a range, with a lower bound and an upper bound.
   - If the lower bound of this interval is greater than or equal to 650, then we can be 80% confident that city I had at least 650 cases.

2. **Check the Lower Bound**:
   - If the figure shows the confidence interval, check the lower bound value.

Since I do not have the actual figure, I can guide you on how to interpret it:
- Look at the interval for city I on the graph.
- Identify the point that represents the sample mean (usually marked on the graph).
- Check the range that spans from the lower bound to the upper bound for city I.

### Example Interpretation:
Assume the 80% confidence interval for city I is shown as \([700, 900]\):
- The lower bound here is 700.
- Since 700 is greater than 650, we can say with 80% certainty that city I had at least 650 cases of the flu last month.

If the lower bound is less than 650, then we cannot be 80% certain that the number of cases was at least 650.

Would you like any more details or have any questions?

Here are 5 more questions you might be interested in:

1. How do you calculate a confidence interval for a sample mean?
2. What does the width of a confidence interval indicate?
3. How does changing the confidence level affect the confidence interval?
4. What factors influence the width of a confidence interval?
5. Can you explain the difference between confidence intervals and prediction intervals?

**Tip:** When interpreting confidence intervals, always check the bounds to make sure they align with the question being asked about the data.

Explore how to determine with 80% certainty whether city I had at least 650 cases of flu last month using confidence intervals. Learn to interpret confidence intervals and make statistical inferences.

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