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To create a 99% confidence interval, the critical value corresponds to the Z-score for 99% confidence. The area in the tails of the normal distribution is \( 1 - 0.99 = 0.01 \), which means the area in each tail is \( \frac{0.01}{2} = 0.005 \).

The critical Z-value for 99% confidence is:

\[
Z_{\alpha/2} = 2.576
\]

So, the positive critical value you should use is **2.576**.

Would you like more details or have any further questions?

Here are 5 related questions:
1. How is the critical value related to the confidence level?
2. What is the formula to calculate a confidence interval for the population mean?
3. How does increasing the confidence level affect the width of the confidence interval?
4. When should you use the t-distribution instead of the normal distribution for confidence intervals?
5. How can sample size influence the precision of the confidence interval?

**Tip:** Confidence intervals provide a range of values that likely contain the true population parameter. Increasing the sample size reduces the margin of error.

You wish to determine the average number of ED visits per day. To get a reasonable range, you wish to create a 99% confidence interval for this average from some sample data. What critical value should you use? Only list the positive one.

Learn how to calculate the critical value for a 99% confidence interval for determining the average number of ED visits per day. This problem covers key statistical concepts, including the Z-score and the properties of the normal distribution. Suitable for college-level statistics students.

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