Question

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Explanation:

Identify the given parameters

The sample mean is \(\bar{x} = 18.7\) and the margin of error is \(E = 5.9\).

Apply the confidence interval formula

The formula for a confidence interval is:

$$ \text{Confidence Interval} = \bar{x} \pm E $$

Substitute the values

Substituting the given values into the formula:

$$ 18.7 \pm 5.9 $$

Answer:

• (A) \(18.7 \pm 5.9\) (Correct answer)
• (B) \(18.7 \pm 9.7\)
• (C) \(18.7 \pm 11.0\)
• (D) \(18.7 \pm 15.2\)