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To express the confidence interval \( 0.767 \pm 0.077 \) in interval form, follow these steps:

1. Subtract the margin of error \( 0.077 \) from the mean \( 0.767 \) to get the lower bound:
   \[
   0.767 - 0.077 = 0.690
   \]

2. Add the margin of error \( 0.077 \) to the mean \( 0.767 \) to get the upper bound:
   \[
   0.767 + 0.077 = 0.844
   \]

Therefore, the confidence interval is \( (0.690, 0.844) \).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. How do you calculate a confidence interval given the sample mean and margin of error?
2. What is the significance of a confidence interval in statistical analysis?
3. How does changing the confidence level affect the margin of error?
4. Can confidence intervals overlap, and what does it mean if they do?
5. How do you interpret the meaning of a 95% confidence interval?

**Tip:** Always ensure that you are clear on whether the confidence interval is given or if you need to compute the margin of error and bounds yourself.

Express the confidence interval 0.767 ± 0.077 in interval form. You may use (lower, upper) or [lower, upper] formats.

Learn how to express the confidence interval 0.767 ± 0.077 in interval form. This example illustrates how to calculate the lower and upper bounds using the mean and margin of error in confidence interval problems.

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