High School

Use the given values to find the margin of error for an 88% confidence interval.

Given:
- [tex]x = 97.3[/tex]
- [tex]\sigma = 10[/tex]
- [tex]n = 9[/tex]

Answer :

Final answer:

The margin of error for a 88% confidence interval is 3.903.

Explanation:

To find the margin of error for a 88% confidence interval, we can use the formula: EBM = Z * σ / √n. Where EBM is the margin of error, Z is the Z-score corresponding to the confidence level, σ is the standard deviation, and n is the sample size. In this case, the Z-score for a 88% confidence level is 1.171. So the margin of error is given by EBM = 1.171 * 10 / √9 = 3.903. Therefore, the margin of error for the 88% confidence interval is 3.903.

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