Problem

Use the given confidence interval to find the margin of error and the sample mean.
$(13.8,21.0)$
The sample mean is
(Type an integer or a decimal.)

Answer

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Answer

Final Answer: The sample mean is \(\boxed{17.4}\) and the margin of error is \(\boxed{3.6}\)

Steps

Step 1 :Given the confidence interval (13.8, 21.0), we can find the sample mean \(\bar{x}\) by calculating the midpoint of the interval, and the margin of error \(E\) by calculating half the width of the interval.

Step 2 :Calculate the sample mean: \(\bar{x} = \frac{{13.8 + 21.0}}{2} = 17.4\)

Step 3 :Calculate the margin of error: \(E = \frac{{21.0 - 13.8}}{2} = 3.6\)

Step 4 :Final Answer: The sample mean is \(\boxed{17.4}\) and the margin of error is \(\boxed{3.6}\)

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