Express the confidence interval 0.451 ± 0.077 in open interval form (i.e., (0.155,0.855)).

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**Transcription for Educational Website: Confidence Intervals**

**Question:**  
Express the confidence interval 0.451 ± 0.077 in open interval form (i.e., (0.155, 0.855)).

**Explanation:**  
To express the given confidence interval in open interval form, you subtract and add the margin of error (0.077) from the mean (0.451):

- **Lower bound calculation:**  
  \(0.451 - 0.077 = 0.374\)

- **Upper bound calculation:**  
  \(0.451 + 0.077 = 0.528\)

Thus, the open interval form is (0.374, 0.528).

**Additional Note:**  
An open interval indicates that the endpoints (0.374 and 0.528) are not included in the interval. This approach is common in statistics to define a range of values for mean estimates.
Transcribed Image Text:**Transcription for Educational Website: Confidence Intervals** **Question:** Express the confidence interval 0.451 ± 0.077 in open interval form (i.e., (0.155, 0.855)). **Explanation:** To express the given confidence interval in open interval form, you subtract and add the margin of error (0.077) from the mean (0.451): - **Lower bound calculation:** \(0.451 - 0.077 = 0.374\) - **Upper bound calculation:** \(0.451 + 0.077 = 0.528\) Thus, the open interval form is (0.374, 0.528). **Additional Note:** An open interval indicates that the endpoints (0.374 and 0.528) are not included in the interval. This approach is common in statistics to define a range of values for mean estimates.
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